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Conceptual question on information theory (Part1)

Shannon's entropy measures the information content by means of probability. Is it the information content or the information that increases or decreases with entropy? Increase in entropy means that ...
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22 views

Confusion related to terms: information, information content and entropy (Part2)

Shannon's entropy measures the information content by means of probability. Is it the information content or the information that increases or decreases with entropy? Increase in entropy means that ...
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1answer
31 views

Difficulties in understanding mutual information concept

For two signals or random variables to be independent, the mutual information (MI) must be zero. Let, $error = X -Y$ where X is the desired signal and Y is the measured signal. It is desired that ...
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1answer
30 views

Sample vs. sample values

Is there any difference between the terms sample and sample value in DSP? In statistics, those are very different concepts: a sample is a subset of a population: it is a set of random variables. A ...
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3answers
224 views

What does it mean exactly when two parts of a signal are correlated?

I stumble quite often upon the notion that two or more parts of a signal are correlated to describe semi-formally that they belong together. For example in image processing, two pixels on an edge ...
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1answer
80 views

Proper meaning (and origin) of PCM (pulse code modulation)?

(copy from Proper meaning (and origin) of PCM (pulse code modulation)? - Stack Overflow): Apologies first, as StackOverflow is possibly not the right forum for this question; in that case please ...
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43 views

Is applying a gaussian kernel a fancy way of saying convolving with a gaussian mask?

When someone says apply gaussian kernel, is that the same thing as saying, convolve it with a gaussian mask?
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1answer
28 views

Is “early vision” chronological or process

This might sound silly, but I have a language barrier type of question, and I was hoping someone could clear up this misunderstanding: I've seen the term "early vision" several times in papers I've ...
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2answers
513 views

White noise vs. delta pulse and Ultraviolet catastrofe

Everybody explains that white noise has all frequencies equally strong. But, this immediately means that Ultraviolet catastrofe inevitably happens if power > 0 stays constant at any frequency and, ...
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608 views

Scalogram (and related nomenclatures) for DWT?

My understanding of the scalogram is that, for a particular row, the scores of the projection of the input signal with the wavelet at a particular displacement is shown. Across rows, the same thing ...
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1answer
201 views

What does double hat mean in Spectral theory?

I was confused about the double hat notation $\hat{\hat .}$ and my teacher and I thought it probably means an estimate of an estimate most of the time, but we could not be 100% sure of its meaning. ...
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1answer
92 views

What does orthogonality mean in the context of adjacent channels in a filter bank?

First off, what does orthogonality mean in the context of adjacent channels in a filter bank? Secondly, I am reviewing some code in which the dot product of the transfer functions of adjacent ...
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1answer
2k views

Terminology: spectrum, spectrogram, spectrograph, sonogram, etc

In term of proper or accepted naming conventions of DSP graphics or instrumentation output, what is the difference between the words spectrum, spectrogram, spectrograph, and similar terms, and what ...
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1answer
171 views

Is there a “first” Fourier transform?

Every time I've read "first Fourier transform", I've assumed it to be a misspelling of the fast Fourier transform. Recently though, I saw the term in both the title and keywords of an article from a ...
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2k views

What is the relation between the PSDs of filter input and output called? $R_Y = |H|^2R_X$

If a wide-sense stationary signal X is fed to an LTI filter with the transfer function H, the power spectral density (PSD) of the output Y can be expressed as: $R_Y(f) = |H(f)|^2R_X(f)$ where $R_X$ ...
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1answer
1k views

What's the difference between the Gabor and Morlet wavelets?

The Gabor wavelet is a kind of the Gaussian modulated sinusoidal wave (source)   Gabor wavelets are formed from two components, a complex sinusoidal carrier and a Gaussian envelope. ...