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Coding Theory | Singapore University of Social Sciences

In this introductory course, we will discuss theory of linear block codes and convolutional codes, their encoding and decoding techniques as well as their applications in real world scenarios. Starting from simple repetition codes, we will discuss among other codes: Hamming codes, Reed Muller codes, low density parity check codes, and turbo codes. We will also study how from simple codes by concatenation we can build more powerful error correcting codes. Lecture 6: Some simple linear block codes: Repetition codes, Single parity check codes, Hamming codes, Reed Muller codes.

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Found in Electrical Engineering. Nevertheless, an argument for a Dual Coding as opposed to a common coding account of memory performance is not ipso facto an argument against the computational view of the mind and the existence and theoretical necessity of a mentalese type code.

Information Theory part 3: What is coding theory?

Some cognitive scientists, conscious of the in some respects, complementary merits of both Dual Coding Theory and computationalism, would clearly like to reconcile the two viewpoints. It is worth considering whether or how this can be done in a satisfactory way. Before that, however, there are certain conceptual issues internal to Dual Coding Theory itself that should be examined. Indeed, the concern that these have never been very adequately addressed by Paivio or, indeed, anyone else may well be another important source of dissatisfaction with the theory Lockhart, ; but see Paivio, We will return in later sections to more general worries about the nature and possibility of imagery representation per se , but we should also ask just how we should understand the notion of a code as Paivio uses it [ 1 ] , and about how such codes are to be differentiated, characterized, and counted.

Indeed, it seems obvious to some commentators e. One might go even further than this although Paivio himself resists doing so and argue that what we actually have is a unitary, multi-modal imagery system, that handles auditory, haptic, olfactory, etc.

Coding Theory (G1155)

Despite the ingrained bias toward focusing upon its visual aspect, it is quite plausible that imagery is best understood as fundamentally multi-modal. Indeed, the idea that mental images are, and must always remain, strictly segregated by sense mode such that images of different modalities might interact associatively, but never merge is compelling only if we regard the senses as independent, segregated channels through which sense impressions of different types are funneled into the mind, and if we also think of mental imagery as arising within those sense channels, or as directly derived from their immediate outputs.

Conceptual Issues in Dual Coding Theory

This Empiricist view of perception continues to be very influential, but it is by no means universally accepted, and many arguments, both empirical and theoretical, have been advanced against it Morgan, Marks, ; von Hornbostel, On this view, perceptual experience is inherently multi-modal although, of course, we often focus our interest on just one particular modal aspect of it , and there is every reason to think that quasi-perceptual experience, imagery, is the same Thomas, , b n.

From this perspective, there is no justification whatsoever for segregating imagery codes by sense mode. However, even for those no doubt the majority who continue to conceive of the five or so senses as distinct and more or less passive input channels, it does not follow that imagery might not be multi-modal, that the sight and the scent of the rose that we imagine might not be best understood as aspects of a single, integrated imaginative experience rather than separate adventitiously associated visual and olfactory images.

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This is consistent both with certain influential contemporary views about perception and imagery e. Let us now consider the verbal code. Paivio himself has always made it quite clear that he is thinking of inner speech and the like in natural language in English, or whatever one's native tongue happens to be.

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  • On any viable construal of Dual Coding Theory , the two codes, whatever they might be, are on a par with one another, playing parallel and complementary explanatory roles. One would expect entities with such similar explanatory roles to also be on the same level within the theory's ontology. That seems to be the case for mental images and mental natural language words, but it does not seem to be true for images and mentalese representations. Both mental imagery and inner speech are familiar and common phenomena of conscious experience.

    They are psychological explananda as well as explanantia. By contrast, mentalese representations are explanantia only. Mentalese is not a phenomenon.