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Questions from the topic - 6. IIR filter design 6 [hours] - Digital Signal Analysis and Processing
1. Why Spectral Transformation if required? - 2070 Ashad
2. Design a low pass digital filter by impulse invariance method to an approximate Butterworth filter, if passband edge frequency is $0.2\pi$ radians and maximum deviation of 0.5 dB below 0 dB gain in the passband. The maximum gain of -15 dB and frequency is $0.35\pi$ radian in stopband, consider sampling frequency 1 Hz. - 2070 Ashad
3. What is the advantage of bilinear transformation? Design a low pass discrete time Butterworth filter applying bilinear transformation having specifications as follows:
Pass band frequency $(w_{p}) = 0.25\pi radians$
Stop band frequency $(w_{s}) = 0.55\pi radians$
Pass band ripple $(\delta_{p}) = 0.11$
And stop band ripple $(\delta_{s}) = 0.21$
Consider sampling frequency 0.5Hz
Also, convert the obtained digital low-pass filter to high-pass filter with new pass band frequency $(w^{\prime}_{p}) = 0.45\pi$ using digital domain transformation. - 2069 Chaitra
4. If passband edge frequency $w_{p} = 0.25\pi,$ stopband edge frequency $w_{s} = 0.45\pi,$ passband ripple $\delta_{p} = 0.17$ and stopband ripple $\delta_{s} = 0.27$ then design a digital lowpass Butterworth filter using bilinear transformation technique. - 2068 Bhadra
5. Design a low pass discrete time filter by applying impulse invariance to an approximate Butterworth continuous filter, if passband frequency is $0.2\pi$ radians and maximum deviation of 1 dB below 0 dB gain in the passband. The maximum gain of -15dB and frequency is $0.3\pi$ radians in the stopband. Consider sampling frequency 1 Hz. - 2065 Baisakh
6. Design a low pass discrete time filter by applying impulse invariance to an approximate Butterworth continuous filter, if passband frequency is $0.3\pi$ radians and maximum deviation of 1 dB below 0 dB gain in the passband. The maximum gain of -15dB and frequency is $0.4\pi$ radians in the stopband. Consider sampling frequency 0.5 Hz. - 2065 Baisakh-Old