Questions tagged [time-frequency]

279 questions
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Does Wigner-Ville distribution provide the highest resolution?

For linear time-frequency representation, the resolution is limited by Gabor limit. However, if interference is allowed, the resolution may be higher. What is the possible resolution in such a case? In "Electroencephalography Feature Extraction…
Kattern
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Why are the systems equivalent?

Why are those two systems equivalent? System 1:$$\boxed{x[n]}\longrightarrow\boxed{\uparrow 3}\longrightarrow\boxed{\downarrow 4} \longrightarrow\boxed{y[n]}$$ System 2:$$\boxed{x[n]}\longrightarrow\boxed{\downarrow 4}\longrightarrow\boxed{\uparrow…
USER
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Time Frequency Signal Analysis in Mathematica (MMA)

I want to know " Whether there is any Tool Box in Mathematica (MMA) for the Time-Frequency (TF) Signal Analysis". I am well-versed in MMA Programming, so want to do TF Signal Analysis in MMA. I think if there is toolbox of TF Analysis, then it will…
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The separation condition of a multi-component signal

Suppose a signal is a superposition of multiple intrinsic-mode-type (IMT) functions, say $$f(t) = \sum_{i=1}^n A_i(t)e^{i\varphi_i(t)} $$ Why is the separation condition of $f(t)$ be $$\forall i,j \quad|\varphi_i^\prime(t) - \varphi_j^\prime(t)|…
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Time-frequency analysis

I had this question in the exam without any further explanation. Why the time translation invariance is an important feature for time-frequency distributions? I am writing to ask whether anyone can please explain what is time translation invariance?…
yaqubov
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Introductory book on time-frequency analysis?

I'm looking for an introductory book to time-frequency analysis. The book should be practical in nature and not mathematics heavy. Suggestions?
user8722
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pattern recognition in a time series

I understand that the question I am asking seem the be somewhat related to another question which has been asked already. But I feel that this is an entirely different question. I have a huge (over 100K data points) time series data of the position…
C.M
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