# time v frequency domain; consciousness etc.

**URL:** http://discourse.iapct.org/t/time-v-frequency-domain-consciousness-etc/15256
**Category:** CSG1996
**Created:** [May 7, 1996, 11:27am UTC](http://discourse.iapct.org/t/time-v-frequency-domain-consciousness-etc/15256 "1996-05-07T11:27:36Z")
**Posts on this page:** 3
**Page:** 1

<div class="post-metadata">

### Author: ![William\_T\_Powers4](http://discourse.iapct.org/letter_avatar_proxy/v4/letter/w/977dab/32.png) [@William\_T\_Powers4](http://discourse.iapct.org/u/William_T_Powers4)
#### Post date: [May 7, 1996, 11:27am UTC](http://discourse.iapct.org/t/time-v-frequency-domain-consciousness-etc/15256/1 "1996-05-07T11:27:36Z")

</div>

[From Bill Powers (960507a) --

Peter Cariani (960505.1500 EST) --

I said

> > If a neural signal looked upon as a rate of firing changes rapidly as  
> > a function of time, there will of course be changes in the temporal  
> > discharge patterns and spike latencies -- how could it be otherwise?

And you said

&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Bill, you haven't thought this through properly (relatively few  
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;people have thought about it seriously, despite its centrality to  
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;all of neurophysiology). Generally speaking,"rate-codes" mean that  
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;the average number of spikes produced within some time window  
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;(usually assumed to be tens to hundreds of milliseconds) is the  
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;"coding variable", the informational vehicle in the neural spike  
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;train signal.

Don't you have to do the same with interspike intervals? To speak of a  
"structure" in a "spike train", you have to consider more than the  
immediate interval between two spikes. For example, you say

&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Our evidence suggests that an all-order interspike interval  
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;representation at the level of the auditory nerve covaries with the  
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;vast majority of human pitch judgments. All-order intervals include  
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;time intervals between successive and nonsuccessive spikes, so they  
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;represent the autocorrelation of the spike train.

A "pitch judgement" can hardly be made on the basis of the interval  
between two spikes, and to speak of a "spike train" automatically  
introduces more than two spikes. So you, too, are dealing in ways of  
characterizing neural signals that span many spikes. What you see as a  
"structure" depends on how many spikes you are considering at the same  
time. There is no structure in "blip ... blip."

Understand, I'm not trying to say there's something wrong with studying  
temporal patterns of spikes. Some of the examples you give, such as  
echolocation, are clearly best understood in the time domain rather than  
the frequency domain (although I suspect that in some of the other  
examples, such as olfaction, this is more optional than your references  
would claim). There are phenomena that are time-dependent (such as time-  
difference echolocation), and there are phenomena which are frequency-  
dependent (such as the tension in the biceps being generated by all  
converging spike trains of a given equivalent frequency).

For any analysis done in the time domain, there is probably a  
corresponding analysis in the frequency domain which would look  
different mathematically but is just as valid. It's all a matter of  
which mode of analysis has been carried the farthest, and which leads to  
the least awkward calculations. Echolocation can be handled as a  
frequency-and-phase problem, but why fool around with Fourier analysis  
when a time-difference detection model provides just as good an analysis  
in a much simpler way?

When you say that spike-interval analysis is "central to all of  
neurophysiology" you are only describing the way neurophysiologists (the  
ones you know about) happen to be thinking right now. Whether you think  
in terms of spike intervals or repetition rates, you still have to  
consider a "window" within which you measure either a temporal structure  
or a set of superimposed spike frequencies. As you indicated (perhaps  
unintentionally), the size of the window depends on the behavioral or  
experiential phenomenon with which you are trying to correlate some  
measure of neural signals. If the phenomenon to be explained varies  
relatively slowly through time, as in making pitch judgments, the window  
has to have a long duration, whether you think in frequencies or  
intervals. As the window is made briefer, it becomes harder to define  
either frequency or temporal structure.

I think I commented to you some time ago that the way you characterize a  
spike train has to depend on the nature of the receiver of the train. If  
a spike train enters a neuron (via neurotransmitters), the effect on the  
signals emitted by the receiving neuron will depend very much on the  
integration times involved. In a cell with a high capacitance, the post-  
synaptic potential may represent the average effect of many milliseconds  
of spike inputs, and all internal structure of the signal within the  
averaging time would be lost. It's only in the rarer "electrical" type  
of neuron, where there is a clear correlation between output spikes and  
input spikes, that temporal structure might be preserved. As I  
understand modern models of neurons, the effects waver back and forth  
between spike-handling and analog computation, depending on the  
parameters of the particular type of neuron. I don't think there can be  
a one-size-fits-all kind of analysis.

> **···**
>
> ----------------------------------------  
> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;I haven't thought through these issues of the loop gains, and I  
> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;haven't tried (yet) to distinguish those recurrent networks that  
> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;would be considered to be control loops from others that might be  
> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;stable or contingently-stable. Whether the gain matters or not  
> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;depends upon whether the "signal" is the amount of something, as  
> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;opposed to its presence at all or above some threshold or the time  
> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;period of some reaction cycle. One can conceive of all sorts of  
> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;systems, some of them being control systems, based on these other  
> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;kinds of signalling processes. I don't know if the brain MUST be a  
> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;network of feedback controllers in this sense, whether there could  
> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;be other kinds of stable systems that use different kinds of  
> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;signals that are not scalars.
> 
> The basic criterion for using a control-system model isn't theoretical;  
> it's observational. If you find a variable that is being affected by  
> physical influences in its surroundings, but it doesn't change in the  
> way you would expect from calculating the effects of all those  
> influences, then obviously there must be at least one influence that is  
> varying in such a way as to counteract the effects of the other  
> influences. That's what makes you suspect that a control system might be  
> present.
> 
> Consider the case of a biochemical system in which there is a chemical  
> product whose concentration remains the same even though subsequent  
> reactions vary their rate of consumption of the product, and even though  
> the reacting source materials in the substrate are varying their  
> concentrations, both variations occuring over a range of 10 to 1 or  
> more. If you discover such a stabilized reaction product, you have to  
> try to explain the extreme stability against disturbances, and that  
> would lead you to discovery of the local feedback loop involving (in the  
> example I picked from Hayashi and Sakamoto) an allosteric enzyme. When  
> you model such a closed loop system, you \_discover\_ that it is a control  
> system: that is, you can see how the stabilization is achieved. If  
> biochemists had been the first to discover systems that behave like  
> this, they might have called such systems something other than "control  
> systems." "Reaction stabilizers," perhaps, or "super-buffers," or  
> whatever struck their fancy.
> 
> Whether the variables are considers scalars, vectors, or tensors is a  
> secondary matter. What matters for control is whether a variable is  
> stabilized at a particular level or in a particular state by the action  
> of a closed loop system, and whether the particular stable state can be  
> specified by some kind of reference signal that is compared with the  
> input representation. A scalar model has some very convenient  
> properties, but as I have said before there are possible interactions  
> among "scalar" control systems that can't be handled in this way, and  
> some day will call for some more advanced treatment. In one of my 1979  
> Byte articles, I showed a working hierarchical model in two different  
> topological forms, one with each system shown as a separate unit, and  
> the other with identical connections but with all the similar functions  
> (perception, comparison, and action) physically grouped together, as in  
> brain nuclei. In the latter form, interactions among similar functions  
> could easily be added to the model, to handle deviations from the simple  
> idealized scalar model. But that won't be appropriate until we can do  
> experiments that can distinguish between separate independent systems  
> and systems in which there are interactions.
> 
> There is no \_a priori\_ reason to suppose that the brain HAS TO BE any  
> kind of system. The point of a brain model is to explain observations.  
> If we observe that control is occurring, then obviously our brain model  
> has to make that possible. If you believe that organized repeatable  
> disturbance-resistant behavior can be produced in the real world without  
> the need for feedback control, then by all means you should propose an  
> open-loop model and see how it fares. My only caveat is that you should  
> use real observations, not thought-experiments, because thought-  
> experiments always involve inventing a reality that works as you imagine  
> it to work -- in other words, that already has the necessary model-  
> friendly assumptions built into it.
> 
> [From later in the post]  
> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;So my point here is that if the term "control system" were never  
> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;invented, there is nothing that deters one from describing a  
> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;material system in terms of mechanics or kinematics or  
> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;thermodynamics, and there is nothing that compels one to consider  
> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;the material system in terms of a "control system".
> 
> A proper description of a control system would involve mechanics,  
> kinematics, thermodynamics, and whatever other modes of physical  
> description are appropriate. The term "control system" is unnecessary if  
> the description of the system is complete. If we say that the partial of  
> an input quantity qi with respect to a disturbing quantity qd approaches  
> zero while the partial of qi with respect to a signal r approaches 1, we  
> are describing characteristics of a system-environment interaction that  
> is especially interesting in its implications. It is convenient to be  
> able to refer to a system with these properties by using some easily  
> recognizeable term that has popular meanings close to the intended ones.  
> But we could just call this a "type-C" system and avoid all the hassle.  
> Whatever we call it, the name is not important; what is important is the  
> set of properties of this type of system that give the system a special  
> relationship to its environment.
> 
> I think that very few scientists, even today, realize that such  
> properties can exist, or know what they are.  
> -----------------------------------------  
> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;I don't assume that an observer need be conscious. The process of  
> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;observation entails that an organism or device can make a  
> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;measurement, record the result, and act contingent upon that result  
> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;(e.g. report the observation, or run it through a predictive model  
> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;and report a prediction).
> 
> What you call observation would exist if a neural signal representing  
> the observed thing existed. I deduce that what you call "observation" is  
> what I am calling "perception." A perceptual signal is a measure of  
> something that is being sensed or being computed from what is being  
> sensed, as I define it. Since perceptual signals must exist in all  
> working control systems, the operation of automatic control processes  
> without conscious awareness shows that perception (thus defined) and  
> consciousness awareness are not the same thing. One can breathe  
> automatically, or with awareness of breathing. The same perceptual  
> signals are involved, but the difference is in the presence or absence  
> of awareness -- whatever that is.
> 
> When I speak of an Observer, with a capital O, I am referring to the  
> phenomenon we call awareness. Awareness and perception (or observation  
> in your sense) are not the same thing.
> 
> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;My remark was to some other part of your response, where you  
> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;implied that I was requiring "consciousness" to be in the  
> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;description. It doesn't need to be in the description; it doesn't  
> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;add to a "physical" description, since its "observables" are  
> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;incommensurate with "physical" ones.
> 
> I didn't mean that you were saying that consciousness had to be in the  
> description. I was pointing out that the description works \_whether or  
> not\_ the phenomenon in question is conscious. Since this is true, it is  
> obvious that the description in terms of neural mechanisms can't  
> distinguish between the conscious and the unconscious mode of operation.
> 
> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Different descriptions can entail different sets of observables,  
> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;and yes, then the phenomena are different. If there is overlap  
> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;between sets of observables then competition in the prediction of  
> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;those observables can ensue, but if there is no overlap, one is  
> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;hard-pressed to categorically reject one model in favor of the  
> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;other.
> 
> This discussion seems to be getting mixed up between a discussion of  
> consciousness and a discussion of control. Control does not imply  
> consciousness; it implies only the stabilization of variables against  
> disturbances, and so forth. This can take place either with or without  
> consciousness.
> 
> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;So, here, since I'm not assuming that observer=consciousness, this  
> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;is tantamount to asking whether a bunch of electrical parts such as  
> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;inductors, capacitors, wires, etc might self-assemble over long  
> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;evolutionary periods to get something like a robotic device with  
> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;sensors, effectors, and some internal capacity for modelling the  
> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;world. THis isn't so unreasonalbe, I think.
> 
> Again, your in your usage, "observing" is "perception" in my usage. As  
> to a self-assembing system, this really begs the question of what does  
> the assembling. The assembling process IS A PROCESS and requires a  
> mechanism to carry it out. The result of the assembly is described in  
> terms that do not include the process of assembly. Consider a collection  
> of marbles in a shallow vibrating bowl. The collection "self-assembles"  
> into a pattern of hexagons. But does the \_pattern\_ assemble itself? Do  
> the \_marbles\_ do the assembling of the marbles? Obviously not: what does  
> the assembling is a series of collisions and the influence of gravity  
> which, together, keep changing the relationships among the marbles until  
> a minimum-energy configuration is reached. The result that is assembled  
> is the outcome of an operation which has to be described in terms other  
> than those that describe the result. "Self-organization" is a concept  
> that depends on a shifting referent of "self." The result of the process  
> of organization -- the final pattern -- is not the cause of the  
> reorganizing process. But I have argued with cyberneticists about this  
> for years without getting anywhere. I see a gap in the argument; they,  
> apparently, don't.
> 
> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;I still don't see how reducing the observer down to a Point  
> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Receiver solves the problem of awareness. (I accept your argument  
> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;about the homunculus -- your point receiver is not equivalent to  
> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;the whole organism. Point well taken.)
> 
> Maybe the problem here is that you're looking for a solution to the  
> problem of awareness within the sorts of neural and physical modeling  
> that we know how to do. If you stick strictly with the familiar modes of  
> modeling, you find that going up the hierarchy eliminates one aspect of  
> experience and function after another until you are left with --  
> nothing. In other words, you have to conclude that you have also  
> eliminated the Observer, big O, and thus that no Observer exists. You  
> observe that there is no Observer.
> 
> However, consider approaching this from the other side. Begin with your  
> own experience of the world instead of with a particular model. You can  
> shift your attention to any part of the experiencable world, with some  
> parts coming into the field of experience and others dropping out. You  
> can focus down to concrete sensations, or attend to logical reasoning or  
> verbal generalizations or even system concepts, including a subset that  
> can be called the Self. Clearly, when you cease to be aware of your own  
> Self's attributes, you do not stop behaving in accord with those  
> attributes; you just stop being aware of them. The same is true of most  
> other aspects of your world of experience; when you aren't attending to  
> them, they still form a part of your organization and your behavior.
> 
> So what is this point of view from which you can see, eventually, every  
> aspect of the world of experience, yet which seems to flit here and  
> there like a spotlight, revealing some of it and leaving the rest to  
> operate in the dark? Most people I know agree that this phenomenon  
> exists and is central to what they think of as being conscious or aware.  
> And with some contemplation of this phenomenon, most of them will agree  
> that while the content of consciousness may change from moment to  
> moment, the sense of being in a viewpoint does not change, and this  
> viewpoint is what most people will agree is meant by "awareness."
> 
> If you compare this kind of experience with what our neural models tell  
> us about the brain, I think it is clear that the neural models are  
> deficient. You may argue on faith that a neural model of this phenomenon  
> will be found some day, maybe 5000 years from now, but that doesn't do  
> us much good right now. What we need to do right now is to acknowledge  
> that the phenomenon exists, not doggedly repeat the assertion that our  
> present understanding of brain function will, in some unimaginable  
> future, be vindicated. We always like to think that what we understand  
> now is the Last Word on the subject, but in fact it is only the Most  
> Recent Word. Two hundred years ago, the Last Word was "phlogiston." I'm  
> sure that chemists 200 years ago said "We may not understand every  
> aspect of combustion, but 5000 years from now, when future chemists have  
> all the facts, we will see that phlogiston explains all phenomena of  
> combustion." It is human nature to think it inconceivable that we cannot  
> conceive what we have not yet conceived.
> 
> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;As a neuroscientist, I'd still like some notion of where this Point  
> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Receiver is supposed to be. The explanation just doesn't hang  
> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;together for me.
> 
> There's the problem, isn't it? You're saying "since I am a person who is  
> committed to the idea that neural models can explain all of experience,  
> a phenomenon that I can't relate to neural processes doesn't hang  
> together for me." Of course not; you are ruling out all phenomena that  
> can't be connected to a neural model. To see what I am talking about you  
> have to drop the model and look directly at experience, as a child  
> would.  
> -----------------------------------------------------------------------  
> Best,
> 
> Bill P.

---

<div class="post-metadata">

### Author: ![Peter\_A\_Cariani1](http://discourse.iapct.org/letter_avatar_proxy/v4/letter/p/f17d59/32.png) [@Peter\_A\_Cariani1](http://discourse.iapct.org/u/Peter_A_Cariani1)
#### Post date: [May 7, 1996, 11:54am UTC](http://discourse.iapct.org/t/time-v-frequency-domain-consciousness-etc/15256/2 "1996-05-07T11:54:36Z")

</div>

> From [Peter Cariani (960506.1000 EST)]

> [Bill Powers (960507a) --  
> \>\>If a neural signal looked upon as a rate of firing changes rapidly as  
> \>\>a function of time, there will of course be changes in the temporal  
> \>\>discharge patterns and spike latencies -- how could it be otherwise?
> 
> And you said
> 
> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Bill, you haven't thought this through properly (relatively few  
> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;people have thought about it seriously, despite its centrality to  
> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;all of neurophysiology). Generally speaking,"rate-codes" mean that  
> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;the average number of spikes produced within some time window  
> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;(usually assumed to be tens to hundreds of milliseconds) is the  
> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;"coding variable", the informational vehicle in the neural spike  
> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;train signal.
> 
> Don't you have to do the same with interspike intervals? To speak of a  
> "structure" in a "spike train", you have to consider more than the  
> immediate interval between two spikes. For example, you say
> 
> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Our evidence suggests that an all-order interspike interval  
> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;representation at the level of the auditory nerve covaries with the  
> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;vast majority of human pitch judgments. All-order intervals include  
> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;time intervals between successive and nonsuccessive spikes, so they  
> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;represent the autocorrelation of the spike train.
> 
> A "pitch judgement" can hardly be made on the basis of the interval  
> between two spikes, and to speak of a "spike train" automatically  
> introduces more than two spikes. So you, too, are dealing in ways of  
> characterizing neural signals that span many spikes. What you see as a  
> "structure" depends on how many spikes you are considering at the same  
> time. There is no structure in "blip ... blip."

There actually \<is\> structure in 2 spikes, which is the quantum time-interval,  
but I'm not claiming we do pitch perception on the basis of 2 spikes.  
In many echolocating systems, one can have only 1 spike/unit for the onset of  
the echolocation cry and 1 spike for the onset of the echo, and this can  
yield precise ranging information. Let's say you have 100 or 100,000 spikes --  
it's still the nature of the code that is critical.

> Understand, I'm not trying to say there's something wrong with studying  
> temporal patterns of spikes. Some of the examples you give, such as  
> echolocation, are clearly best understood in the time domain rather than  
> the frequency domain (although I suspect that in some of the other  
> examples, such as olfaction, this is more optional than your references  
> would claim). There are phenomena that are time-dependent (such as time-  
> difference echolocation), and there are phenomena which are frequency-  
> dependent (such as the tension in the biceps being generated by all  
> converging spike trains of a given equivalent frequency).

I'm not claiming the preponderance of evidence in a modality like olfaction  
favors a temporal coding account, only that there does exist evidence that  
suggests the possibility of such codes. A big problem in the research on  
the chemical senses is that the notion of temporal coding is barely on  
the map (it's almost a taboo topic). Meanwhile, everyone postulates  
very complicated "across-neuron" rate-pattern codes whose patterns are  
going to vary with particular odorants present and their concentrations --  
it looks like a far-from-robust way to recognize smells. In pitch perception,  
vibration-discrimination, taste, electroception, and the Reichardt fly  
vision examples, I think one is very hard-pressed to explain these  
phenomena in terms of average firing rates over tens to hundreds of msecs.

> For any analysis done in the time domain, there is probably a  
> corresponding analysis in the frequency domain which would look  
> different mathematically but is just as valid. It's all a matter of  
> which mode of analysis has been carried the farthest, and which leads to  
> the least awkward calculations. Echolocation can be handled as a  
> frequency-and-phase problem, but why fool around with Fourier analysis  
> when a time-difference detection model provides just as good an analysis  
> in a much simpler way?

Yes, yes, yes, I quite agree that the two are formally-related; the big  
question is how these operations are implemented by populations of neurons.  
If you have lots of time, sharp filters, good rate-integrators, and your  
stimulus is stationary, the frequency domain is preferable. If you have  
precision in spike times, delay lines, coincidence detectors (short integration  
times), low signal/noise ratios, and nonstationary stimuli, then the time  
domain is the way to go. (This is a long discussion. There are differences  
between representations based on time intervals between points  
and the those based on analysis of a contiguous time window (e.g. a  
spectrogram). These become important when one has background noise or  
competing sounds or long-range time structure on wants to detect).

> When you say that spike-interval analysis is "central to all of  
> neurophysiology" you are only describing the way neurophysiologists (the  
> ones you know about) happen to be thinking right now. Whether you think  
> in terms of spike intervals or repetition rates, you still have to  
> consider a "window" within which you measure either a temporal structure  
> or a set of superimposed spike frequencies. As you indicated (perhaps  
> unintentionally), the size of the window depends on the behavioral or  
> experiential phenomenon with which you are trying to correlate some  
> measure of neural signals. If the phenomenon to be explained varies  
> relatively slowly through time, as in making pitch judgments, the window  
> has to have a long duration, whether you think in frequencies or  
> intervals. As the window is made briefer, it becomes harder to define  
> either frequency or temporal structure.

All information, whatever the form of the signals, is integrated over  
time. Auditory percepts, like all others, "build up" over time. This is  
different from what I was discussing (rate-based vs. interval based  
codes). The time over which one analyzes spikes can be the same for  
both, but the role of the "integration window" is different for each  
code. A rate-code counts spikes within a specified time window (N events  
occur), whereas an interspike interval code counts joint event pairs  
(spike at time t AND spike at time t + tau). These are fundamentally  
different kinds of measures that are only related under special conditions  
(e.g. that there is no time structure, the generating process is Poisson).

> I think I commented to you some time ago that the way you characterize a  
> spike train has to depend on the nature of the receiver of the train.

I absolutely agree with you. A code is a code only by virtue of its  
interpretation and the differential effects of that interpretation  
(Bateson's "a difference that makes a difference").

> If a spike train enters a neuron (via neurotransmitters), the effect on the  
> signals emitted by the receiving neuron will depend very much on the  
> integration times involved. In a cell with a high capacitance, the post-  
> synaptic potential may represent the average effect of many milliseconds  
> of spike inputs, and all internal structure of the signal within the  
> averaging time would be lost. It's only in the rarer "electrical" type  
> of neuron, where there is a clear correlation between output spikes and  
> input spikes, that temporal structure might be preserved. As I  
> understand modern models of neurons, the effects waver back and forth  
> between spike-handling and analog computation, depending on the  
> parameters of the particular type of neuron. I don't think there can be  
> a one-size-fits-all kind of analysis.

There is currently a debate going on regarding the nature of the (archetypal)  
cortical pyramidal cell, whether its discharge statistics are consistent  
with rate integration of many small inputs or coincidence detection requiring  
temporal coincidence of a relatively small number of inputs. In general, they  
don't look like rate-integrators, and the statistics appear to be at variance  
with the estimated cell parameters that are consistent with the rate-integration  
picture. Maybe inputs over 5-10 msec are being integrated, but I don't think  
rate integrations of tens to hundreds of msec are very realistic for  
sensory neurons. When you really look at real spike trains from sensory  
neurons (and I speak very, very generally), they reflect stimulus transients  
very well, having a "phasic" rather than a "tonic" character.

> ----------------------------------------  
> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;I haven't thought through these issues of the loop gains, and I  
> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;haven't tried (yet) to distinguish those recurrent networks that  
> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;would be considered to be control loops from others that might be  
> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;stable or contingently-stable. Whether the gain matters or not  
> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;depends upon whether the "signal" is the amount of something, as  
> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;opposed to its presence at all or above some threshold or the time  
> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;period of some reaction cycle. One can conceive of all sorts of  
> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;systems, some of them being control systems, based on these other  
> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;kinds of signalling processes. I don't know if the brain MUST be a  
> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;network of feedback controllers in this sense, whether there could  
> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;be other kinds of stable systems that use different kinds of  
> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;signals that are not scalars.
> 
> The basic criterion for using a control-system model isn't theoretical;  
> it's observational. If you find a variable that is being affected by  
> physical influences in its surroundings, but it doesn't change in the  
> way you would expect from calculating the effects of all those  
> influences, then obviously there must be at least one influence that is  
> varying in such a way as to counteract the effects of the other  
> influences. That's what makes you suspect that a control system might be  
> present.

This is fine. So if my recurrent organization results in some stable state  
that is maintained in the face of environmental perturbations, then it is  
a "control system". The systems I had in mind were then "closed  
loop control systems" where the loops are interconnected in a stable, coherent  
way. Perhaps the difference is that I was talking in terms of the  
regeneration of signals, not in terms of the maintenance of particular  
signal levels.... The other possible difference is whether each loop  
involves 1 variable/signal or, potentially, several at once. This issue  
of multidimensional control was discussed here on the CSGnet a while back,  
but I don't remember what it's resolution was........(Can anyone summarize  
for me?).

Could there not be necessary organizational (theoretical)  
prerequisites for this kind of dynamic stability? It seems that the edifice  
of dynamical systems theory is appropos here, and that in it one has a  
comprehensive theory of which networks of closed-loops are stable and  
which ones are not.

> Consider the case of a biochemical system in which there is a chemical  
> product whose concentration remains the same even though subsequent  
> reactions vary their rate of consumption of the product, and even though  
> the reacting source materials in the substrate are varying their  
> concentrations, both variations occuring over a range of 10 to 1 or  
> more. If you discover such a stabilized reaction product, you have to  
> try to explain the extreme stability against disturbances, and that  
> would lead you to discovery of the local feedback loop involving (in the  
> example I picked from Hayashi and Sakamoto) an allosteric enzyme. When  
> you model such a closed loop system, you \_discover\_ that it is a control  
> system: that is, you can see how the stabilization is achieved. If  
> biochemists had been the first to discover systems that behave like  
> this, they might have called such systems something other than "control  
> systems." "Reaction stabilizers," perhaps, or "super-buffers," or  
> whatever struck their fancy.

Ashby's homeostat is another good example, I think.

> Whether the variables are considers scalars, vectors, or tensors is a  
> secondary matter. What matters for control is whether a variable is  
> stabilized at a particular level or in a particular state by the action  
> of a closed loop system, and whether the particular stable state can be  
> specified by some kind of reference signal that is compared with the  
> input representation. A scalar model has some very convenient  
> properties, but as I have said before there are possible interactions  
> among "scalar" control systems that can't be handled in this way, and  
> some day will call for some more advanced treatment. In one of my 1979  
> Byte articles, I showed a working hierarchical model in two different  
> topological forms, one with each system shown as a separate unit, and  
> the other with identical connections but with all the similar functions  
> (perception, comparison, and action) physically grouped together, as in  
> brain nuclei. In the latter form, interactions among similar functions  
> could easily be added to the model, to handle deviations from the simple  
> idealized scalar model. But that won't be appropriate until we can do  
> experiments that can distinguish between separate independent systems  
> and systems in which there are interactions.
> 
> There is no \_a priori\_ reason to suppose that the brain HAS TO BE any  
> kind of system. The point of a brain model is to explain observations.  
> If we observe that control is occurring, then obviously our brain model  
> has to make that possible. If you believe that organized repeatable  
> disturbance-resistant behavior can be produced in the real world without  
> the need for feedback control, then by all means you should propose an  
> open-loop model and see how it fares. My only caveat is that you should  
> use real observations, not thought-experiments, because thought-  
> experiments always involve inventing a reality that works as you imagine  
> it to work -- in other words, that already has the necessary model-  
> friendly assumptions built into it.

Yes, I agree. I do believe that the brain operates mostly on closed-loop  
principles (and whatever open-loop processes there are must be previously  
"learned" through evolution or experience, so these too, are ultimately  
also "closed-loop" processes.). And yes, I agree that one must BUILD these  
things, both in simulations and in real, honest-to-goodness hardware.  
At some point in my life, I want to engage in these issues. Right now  
I have my hands full with issues of coding and representation in the  
auditory system.......

> [From later in the post]  
> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;So my point here is that if the term "control system" were never  
> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;invented, there is nothing that deters one from describing a  
> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;material system in terms of mechanics or kinematics or  
> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;thermodynamics, and there is nothing that compels one to consider  
> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;the material system in terms of a "control system".
> 
> A proper description of a control system would involve mechanics,  
> kinematics, thermodynamics, and whatever other modes of physical  
> description are appropriate. The term "control system" is unnecessary if  
> the description of the system is complete. If we say that the partial of  
> an input quantity qi with respect to a disturbing quantity qd approaches  
> zero while the partial of qi with respect to a signal r approaches 1, we  
> are describing characteristics of a system-environment interaction that  
> is especially interesting in its implications. It is convenient to be  
> able to refer to a system with these properties by using some easily  
> recognizeable term that has popular meanings close to the intended ones.  
> But we could just call this a "type-C" system and avoid all the hassle.  
> Whatever we call it, the name is not important; what is important is the  
> set of properties of this type of system that give the system a special  
> relationship to its environment.
> 
> I think that very few scientists, even today, realize that such  
> properties can exist, or know what they are.

This is probably true.

> -----------------------------------------  
> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;I don't assume that an observer need be conscious. The process of  
> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;observation entails that an organism or device can make a  
> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;measurement, record the result, and act contingent upon that result  
> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;(e.g. report the observation, or run it through a predictive model  
> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;and report a prediction).
> 
> What you call observation would exist if a neural signal representing  
> the observed thing existed. I deduce that what you call "observation" is  
> what I am calling "perception." A perceptual signal is a measure of  
> something that is being sensed or being computed from what is being  
> sensed, as I define it. Since perceptual signals must exist in all  
> working control systems, the operation of automatic control processes  
> without conscious awareness shows that perception (thus defined) and  
> consciousness awareness are not the same thing. One can breathe  
> automatically, or with awareness of breathing. The same perceptual  
> signals are involved, but the difference is in the presence or absence  
> of awareness -- whatever that is.

Yes, I think this translation is accurate, and I agree.

> When I speak of an Observer, with a capital O, I am referring to the  
> phenomenon we call awareness. Awareness and perception (or observation  
> in your sense) are not the same thing.
> 
> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;My remark was to some other part of your response, where you  
> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;implied that I was requiring "consciousness" to be in the  
> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;description. It doesn't need to be in the description; it doesn't  
> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;add to a "physical" description, since its "observables" are  
> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;incommensurate with "physical" ones.
> 
> I didn't mean that you were saying that consciousness had to be in the  
> description. I was pointing out that the description works \_whether or  
> not\_ the phenomenon in question is conscious. Since this is true, it is  
> obvious that the description in terms of neural mechanisms can't  
> distinguish between the conscious and the unconscious mode of operation.

Yes, I agree. What I propose is that the apparent organization of the  
neural processes could correlate with the state of conscious awareness  
in the animal or human subject. The neural description alone does not  
account for it, organizational properties of the neural description  
must be introduced, along with rules that map organizations to  
state-of-consciousness. (It would be as if we wanted to understand the  
neural correlates of "sleep", but it did not appear that one could  
find the correlates in the firing rates of particular "sleep" neurons.  
It could be that the entire system was in a particular dynamic pattern  
of activation that is associated with sleep, so we could try to  
formulate a theory of which patterns produce sleep. The difference  
here is the state of "sleep" is easy to detect without asking the  
subject, but there are ways in which the subject can determine  
"awareness" him/herself that are consistent with an operationalist  
experimental methodology and conception of scientific models.)

> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Different descriptions can entail different sets of observables,  
> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;and yes, then the phenomena are different. If there is overlap  
> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;between sets of observables then competition in the prediction of  
> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;those observables can ensue, but if there is no overlap, one is  
> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;hard-pressed to categorically reject one model in favor of the  
> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;other.
> 
> This discussion seems to be getting mixed up between a discussion of  
> consciousness and a discussion of control. Control does not imply  
> consciousness; it implies only the stabilization of variables against  
> disturbances, and so forth. This can take place either with or without  
> consciousness.
> 
> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;So, here, since I'm not assuming that observer=consciousness, this  
> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;is tantamount to asking whether a bunch of electrical parts such as  
> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;inductors, capacitors, wires, etc might self-assemble over long  
> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;evolutionary periods to get something like a robotic device with  
> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;sensors, effectors, and some internal capacity for modelling the  
> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;world. THis isn't so unreasonalbe, I think.
> 
> Again, your in your usage, "observing" is "perception" in my usage. As  
> to a self-assembing system, this really begs the question of what does  
> the assembling. The assembling process IS A PROCESS and requires a  
> mechanism to carry it out. The result of the assembly is described in  
> terms that do not include the process of assembly. Consider a collection  
> of marbles in a shallow vibrating bowl. The collection "self-assembles"  
> into a pattern of hexagons. But does the \_pattern\_ assemble itself? Do  
> the \_marbles\_ do the assembling of the marbles? Obviously not: what does  
> the assembling is a series of collisions and the influence of gravity  
> which, together, keep changing the relationships among the marbles until  
> a minimum-energy configuration is reached. The result that is assembled  
> is the outcome of an operation which has to be described in terms other  
> than those that describe the result. "Self-organization" is a concept  
> that depends on a shifting referent of "self." The result of the process  
> of organization -- the final pattern -- is not the cause of the  
> reorganizing process. But I have argued with cyberneticists about this  
> for years without getting anywhere. I see a gap in the argument; they,  
> apparently, don't.

Ashby and Rosen made a similar observations about the oxymoronic nature  
of "self-organizing systems" and "self-reproducing systems". Ashby,  
Principles of self-organizing systems", Symposium on Self-Organizing  
Systems, Pergamon Press, 1962 and Rosen, "On a logical paradox implicit  
in the notion of a self-reproducing automaton", Bull. Math. Biophysics,  
1959, 21:387-394. I could postulate an "evolutionary" process  
a la von Neumann instead, replete with a "genetic" plan, constructor part,  
and external selection. The point here is that it's not so difficult to  
imagine how elaborate control systems that are capable of "observation"  
or "Perception" (like ourselves) could evolve over time.

> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;I still don't see how reducing the observer down to a Point  
> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Receiver solves the problem of awareness. (I accept your argument  
> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;about the homunculus -- your point receiver is not equivalent to  
> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;the whole organism. Point well taken.)
> 
> Maybe the problem here is that you're looking for a solution to the  
> problem of awareness within the sorts of neural and physical modeling  
> that we know how to do. If you stick strictly with the familiar modes of  
> modeling, you find that going up the hierarchy eliminates one aspect of  
> experience and function after another until you are left with --  
> nothing. In other words, you have to conclude that you have also  
> eliminated the Observer, big O, and thus that no Observer exists. You  
> observe that there is no Observer.
> 
> However, consider approaching this from the other side. Begin with your  
> own experience of the world instead of with a particular model. You can  
> shift your attention to any part of the experiencable world, with some  
> parts coming into the field of experience and others dropping out. You  
> can focus down to concrete sensations, or attend to logical reasoning or  
> verbal generalizations or even system concepts, including a subset that  
> can be called the Self. Clearly, when you cease to be aware of your own  
> Self's attributes, you do not stop behaving in accord with those  
> attributes; you just stop being aware of them. The same is true of most  
> other aspects of your world of experience; when you aren't attending to  
> them, they still form a part of your organization and your behavior.
> 
> So what is this point of view from which you can see, eventually, every  
> aspect of the world of experience, yet which seems to flit here and  
> there like a spotlight, revealing some of it and leaving the rest to  
> operate in the dark? Most people I know agree that this phenomenon  
> exists and is central to what they think of as being conscious or aware.  
> And with some contemplation of this phenomenon, most of them will agree  
> that while the content of consciousness may change from moment to  
> moment, the sense of being in a viewpoint does not change, and this  
> viewpoint is what most people will agree is meant by "awareness."

My experience does have a unitary (semi-) coherent quality to it, but  
this is consistent with the kind of organizational substrates I  
have in mind.

> If you compare this kind of experience with what our neural models tell  
> us about the brain, I think it is clear that the neural models are  
> deficient.

Yes, they are deficient with respect to questions of awareness because there  
are few attempts to come up with concrete bridging rules between  
neural events/organization and experiences. (Most of the attempts can be  
falsified very quickly.) I'm not saying that neural models as currently  
constituted explain these things; what I am saying is the problem  
is not methodologically intractable, and that there are ways of approaching  
the problem that can yield neurally-based predictions about the  
state-or-awareness of a subject (e.g. asleep vs. anesthetized vs. awake vs. coma).  
These are testable.

> You may argue on faith that a neural model of this phenomenon  
> will be found some day, maybe 5000 years from now, but that doesn't do  
> us much good right now. What we need to do right now is to acknowledge  
> that the phenomenon exists, not doggedly repeat the assertion that our  
> present understanding of brain function will, in some unimaginable  
> future, be vindicated. We always like to think that what we understand  
> now is the Last Word on the subject, but in fact it is only the Most  
> Recent Word. Two hundred years ago, the Last Word was "phlogiston." I'm  
> sure that chemists 200 years ago said "We may not understand every  
> aspect of combustion, but 5000 years from now, when future chemists have  
> all the facts, we will see that phlogiston explains all phenomena of  
> combustion." It is human nature to think it inconceivable that we cannot  
> conceive what we have not yet conceived.

I could not agree more on the present state of our understanding of how the  
brain works, but I am an optimist in the sense that I believe that the  
empirical evidence that we need to understand the brain is (eventually)  
obtainable, and more importantly, the concepts that we will need are not  
beyond our collective mental abilities. I think that the limiting factor right now  
is not lack of neurophysiological evidence (although this is a big problem),  
but lack of ideas, unifying hypotheses, theories. Beyond that, we need  
"bridge-terms" (as discussed above) beyond just descriptions of neural events  
to be able to relate neural activity and states-of-awareness. Maybe it  
will turn out that glial cells are responsible, or that there are other  
hidden factors that underlie the whole shabang, but from the limited  
successes of neural models for perception, I'm placing my bets on  
neurons, spike trains, and "informational" processes. (And a revised and  
updated "phlogiston" theory might yet be the way that chemists 5000  
years from now think about things, for better or worse.)

> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;As a neuroscientist, I'd still like some notion of where this Point  
> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Receiver is supposed to be. The explanation just doesn't hang  
> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;together for me.

> There's the problem, isn't it? You're saying "since I am a person who is  
> committed to the idea that neural models can explain all of experience,  
> a phenomenon that I can't relate to neural processes doesn't hang  
> together for me." Of course not; you are ruling out all phenomena that  
> can't be connected to a neural model. To see what I am talking about you  
> have to drop the model and look directly at experience, as a child  
> would.

I'm not ruling out anything; I'm not an eliminative materialist.  
I experience experience directly, but the explanation still isn't satisfying to me.  
What can I say? Nonetheless, I think we've made progress here in our mutual  
understandings.

Best,  
Peter Cariani

---

<div class="post-metadata">

### Author: ![\_Martin\_Taylor](http://discourse.iapct.org/letter_avatar_proxy/v4/letter/_/a9adbd/32.png) [@\_Martin\_Taylor](http://discourse.iapct.org/u/_Martin_Taylor)
#### Post date: [May 7, 1996, 4:40pm UTC](http://discourse.iapct.org/t/time-v-frequency-domain-consciousness-etc/15256/3 "1996-05-07T16:40:32Z")

</div>

[Martin Taylor 960507 12:30]

> Peter Cariani (960506.1000 EST)
> 
> > Bill Powers (960507a)

> > For any analysis done in the time domain, there is probably a  
> > corresponding analysis in the frequency domain which would look  
> > different mathematically but is just as valid. It's all a matter of  
> > which mode of analysis has been carried the farthest, and which leads to  
> > the least awkward calculations. Echolocation can be handled as a  
> > frequency-and-phase problem, but why fool around with Fourier analysis  
> > when a time-difference detection model provides just as good an analysis  
> > in a much simpler way?
> 
> Yes, yes, yes, I quite agree that the two are formally-related;

Not in nonlinear systems, they aren't. At least, the concepts "frequency"  
and "time" aren't related as they are in linear systems. And neural systems  
are not linear systems, so one has to be very careful in any assumption  
that you could get the same out of a frequency-based analysis as you would  
get out of a time-based analysis. Sometimes it's true, sometimes it isn't.

> If you have lots of time, sharp filters, good rate-integrators, and your  
> stimulus is stationary, the frequency domain is preferable.

Neurally speaking, I don't think there's a lot to choose in how much  
processing is required for time-domain or frequency domain analysis. A  
neural Fourier Transformer is trivial to construct, using a shift register  
and the appropriate number of weighted-summation-type perceptual functions.  
Much easier than with a computer!

The basis for argument about which domain is actually being used for any  
specific perception must lie elsewhere than in computational simplicity.

Peter--for timing in touch perception, I think David Katz probably preceded  
von Bekesy (Der Aufbau der Tastwelt, Leipzig: Barth, 1925). Katz claimed  
that observers could distinguish timing differences of as little as 140  
microseconds between impulses at the two hands.

Martin
