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I am reading the proakis book"DSP USING MATLAB 3rd Edition"

In chap 7, article 7.3, i came across example 7.8,where i saw formulas for pass band ripple and stop band attenuation I have highlighted them in attached snapshot but i couldn't find out how they were calculated

Please also include reference of these formulas of Rp and As, into your answer, as i could not find their reference in book

and also what is "delta_w"?Is it "transition width"?

enter image description here

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From the code you can see that they compute the maximum passband ripple by computing the minimum value of the filter's magnitude response in the passband. Similarly, they compute the maximum value of the magnitude response in the stopband, corresponding to the maximum stopband ripple.

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  • $\begingroup$ Can you please also include reference of these formulas of Rp and As, into your answer, as i could not find their reference in book $\endgroup$
    – engr
    May 13 at 15:23
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    $\begingroup$ @engr: There are no "formulas", just think about what they're trying to do: they look at the magnitude response in dB and check its minimum value in the passband (where it should ideally be 0 dB), and its maximum value in the stopband (where it should ideally be 0, i.e., $-\infty$ dB). These are the maximum deviations from the ideal values, that's all. $\endgroup$
    – Matt L.
    May 15 at 11:29

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