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Why do ripples occur in FIR filter?
Ripples are the fluctuations (measured in dB) in the pass band, or stop band, of a filter’s frequency magnitude response curve. Elliptic and Chebyshev-based filters have constant ripple across their pass bands. While Bessel and Butterworth derived filters have no ripple in their pass band responses.
Which filter approximation has ripples in its response?
Has the sharpest (fastest) roll-off but has ripple in both the pass-band and the stop-band.
Which of the following filter is having ripples in passband as well as in stopband?
Chebyshev type-2 filter
The Chebyshev type-2 filter is maximally flat in the passband, and has an equal-amplitude ripple in the stopband. In the Chebyshev type-2 filter, you specify the frequency at which the stopband begins, and the maximum ripple amplitude.
How can inferred from the frequency response curve alone?
If that is the case, then how can this be inferred from the frequency response curve alone , because frequency response curves only show that the gain of the filter varies with frequency ; they dont speak anything about what the shape of wave will become if the curve has ripples or not.
How to calculate the frequency response of a filter?
Multiply by to convert the frequency to radians per second. Compute the frequency response of the filter at 4096 points. Design a 5th-order Chebyshev Type I filter with the same edge frequency and 3 dB of passband ripple. Compute its frequency response.
Which is the filter with the least ripple?
Butterworth gives the least gain ripple in passband and stopband, and has lowest phase distortion / group delay — though higher-order filtering is needed to achieve a decent cutoff slope. If your application cares about group delay or phase shift, then Butterworth gives the least distortion.
What kind of frequency response does a statement return?
Specifically, the statement returns the p -point complex frequency response, H(ejω) , of the digital filter.