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Phase and Group Delay | Introduction to Digital Filters

    https://www.dsprelated.com/freebooks/filters/Phase_Group_Delay.html#:~:text=Thus%2C%20both%20the%20phase%20delay%20and%20the%20group,of%20a%20sinusoid%20at%20frequency%20%5B%2063%20%5D.
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Group Delay Basics - More Filter Fun - Circuit Cellar

    https://circuitcellar.com/research-design-hub/group-delay-basics-more-filter-fun/
    Probably, it will have roughly the same shape, but its envelope will be delayed. The so-called “group delay” is simply the time lag between the envelope of input burst and the envelope of the amplitude of the output burst. So, group delay means a propagation delay through a filter, measured on the envelope of the signal. Let’s summarize again.

Group Delay - Explanations and Applications

    https://radio-labs.com/designfile/dn004.pdf
    group delay of the filter. Typically a filter used for pulse shaping has specifications on risetime and pulse delay (with specific definition), and these requirements are usually analysed by analysing or simulating the filter in the time domain, not by considering the group delay. There are more mathematical treatments of pulse

filters - Compute group delay of an audio file from STFT ...

    https://dsp.stackexchange.com/questions/54197/compute-group-delay-of-an-audio-file-from-stft
    I have a problem with computing a Group Delay function of an audio file. To begin with, I know that a group delay per se is a property of the filter. Authors of the paper, however, wrote something like this. Group delay [10] is defined as the negative derivative of the phase spectrum of STFT: $$\tau(\omega,t)=-\frac{d(\theta(\omega,t))}{d\omega}\quad(2)$$As the …

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