In which of the following filter, ripples exist either in the pass band or stop band?1 pointIdeal filterChebyshev filterComb FilterButterworth filter

Understanding Filter Characteristics

In filter design, the behavior of a filter's frequency response can widely vary, particularly in terms of ripples, which are fluctuations in amplitude within the pass band or stop band.

Filter Types Analysis

1. Ideal Filter: This filter has a perfectly flat pass band and stop band with no ripples, thus it does not meet the criteria.

2. Chebyshev Filter: This filter is designed to have ripples in the pass band. It offers a steeper roll-off compared to Butterworth filters but at the cost of these ripples in the frequency response.

3. Comb Filter: Typically characterized by a series of peaks and troughs in the frequency response, but these are periodic rather than traditional pass or stop band ripples. So, it doesn't strictly fit the criteria of having ripples in those bands.

4. Butterworth Filter: Renowned for its smooth frequency response, this filter has no ripples in either the pass band or stop band.

Conclusion

From the analysis, the Chebyshev filter is the option that contains ripples in the pass band.

Final Answer

The Chebyshev filter has ripples in the pass band.