Getting the filter characteristics form the known filter coefficients

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Gova ReDDy 2014-1-29

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https://ww2.mathworks.cn/matlabcentral/answers/114140-getting-the-filter-characteristics-form-the-known-filter-coefficients

回答： Honglei Chen 2014-1-29

Hello,

I want to know the filter characteristics like the cutoff frequency (stop and start band), Ast, Ap, sampling rate, order of the filter from the set of filter coefficients given below

coeffs[12] = { 688, 1283, 2316, 3709, 5439, 7431, 9561, 11666, 13563, 15074, 16047, 16384 };

Can someone explain how to get them.

thanks.

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Answer 1

Honglei Chen 2014-1-29

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You can use fvtool to look at the responses and probably figure out cutoff frequency, pass band ripple and stopband attenuation. Another option is freqz. Note that all these measurements are relative to your interpretation. For example, if you define stop attenuation as 60dB, then your cutoff frequency measures from there. In general you know these before you design the filter.

You probably won't be able to figure out the sample rate just from these numbers. Whether it is sampled at 10 kHz or 10 MHz, the shape of the filter responses are the same.

HTH