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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