Are ripples in passband and stopband bad in frequency response?
Ripples in the passband and stopband of a filter's frequency response are not necessarily bad; they are often a trade-off for achieving specific filter characteristics. The presence of controlled ripples in the passband and stopband can lead to improved stopband attenuation but may increase passband and stopband errors. Practical filters commonly exhibit ripple due to the limitations of implementation, and the sensitivity to ripple depth varies depending on the signal being filtered. Techniques like the modified weighted least squares method can help achieve quasi-equiripple approximation in the passband while minimizing ripple and improving energy ratios. Additionally, filters with equal-ripple responses in the passband and specific characteristics in the stopband can be designed successfully and fabricated with good performance.
Answers from top 5 papers
Papers (5) | Insight |
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Open access 01 Jan 2013 1 Citations | Equal-ripple response in the passband is desirable for bandpass filters, as shown in the paper. Ripples in the stopband indicate transmission zeros, enhancing filter performance. |
01 Dec 2007 2 Citations | Ripples in the passband are quasi-equiripple and considered acceptable, while least-squares approximation is used in the stopband, resulting in a favorable passband-to-stopband energy ratio. |
Ripples in the passband of a low-pass filter can be noticeable, with thresholds of 2.7 dB for noise and 4.89 dB for chirp signals, impacting perception but not discussed for stopbands. | |
01 Oct 2016 5 Citations | Ripples in passband and stopband are controlled in digital IIR filter design to balance high stopband attenuation with increased passband and stopband errors, as shown in the study. |
Controlled ripples in passband and stopband are managed in digital IIR filter design to optimize performance, ensuring desired response characteristics without compromising filter stability. |