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1answer
65 views

frequency components of discrete Gaussian-windowed signal

When we are do a discrete Gabor transform on a 1D signal, we apply a Gaussian window on a segment of the signal. However, due to the tapering ends of the Gaussian window, the magnitude of the data ...
0
votes
1answer
93 views

variance of discrete gabor transform for practical implementation

When we design a discrete gabor filter for a 1D signal, how do we determine the variance of the filter, depending on the time step of the signal? and, is there any empirical theorem/ result that we ...
2
votes
1answer
149 views

How can I find the amplitude of the 20 Hz frequency component of a signal faster?

I have a time varying discrete signal x(t) sampled at 5ms rate. I need to find the amplitude of the 20 Hz frequency component for each sample. What I do today is that for each sample I do a Short-time ...
1
vote
1answer
167 views

How do I find the power of a specific frequency at a specific sample of a discrete time varying signal?

EDIT: First off let me explain that I understand that frequency makes no sense for a single sample. What I am actually talking about is the power spectrum within a short time window around a specific ...
3
votes
1answer
280 views

Least-squares re-synthesis of Short-Time Fourier Transform

Working with my own Matlab implementation of the Short Time Fourier Transform (STFT), I've managed to write code for the analysis step where a 1D time-domain signal $s[t]$ is progressively windowed, ...
2
votes
1answer
722 views

length of window and overlap rate in STFT

I want to use STFT to analyze my signal and am wondering what are differences between two solutions: Use short windows (for ex. 256 samples window) Use longer windows (to get higher resolution in ...
7
votes
2answers
369 views

Time resolution of the Short Time Fourier Transform (STFT)

I'm struggling to figure out how the time points of an STFT are calculated, and I can't find a definitive answer. Let's say I have a 4Hz stationary signal and I'm going to use a 64 second window with ...
7
votes
3answers
211 views

How critical is the selection of the window function in STFTs?

I have a sum of periodic signals that I am trying to untangle using time-frequency analysis. I seem to get wildly different results depending on the window length and shape. This is a problem because ...
9
votes
3answers
727 views

How do I optimize the window lengths in STFT?

I have many EEG signals and I want to analyze them using linear methods such as STFT (Short Time Fourier Transform). In STFT , How can I optimize the analysis window length, to reflect the frequency ...