Question

Q) For pass-band frequency wp, clipping 81 and stop-band frequency ws, clipping 82 A low-pass digital filter is desired to be designed according to. $\omega_p$ = 0.3$\pi$, $\omega_s$ = 0.5$\pi$ rad/s; 81 = 0.15, 82 = 0.1. a) Show the filter characteristics according to the design requirements. b) Design a linear phase FIR filter with rectangular and Hamming window approaches. Used Explain the approaches step by step. Use the filter coefficients you have designed to determine the frequency response of the filter. and show that it fulfils the requirements. c) Obtain digital filter from analogue filter by using Butterworth approximation which satisfies the same requirements. and select the sampling frequency. Select the sampling frequency as 4 kHz. Digitise with the Tustin approach.

          Q) For pass-band frequency wp, clipping 81 and stop-band frequency
ws, clipping 82
A low-pass digital filter is desired to be designed according to. $\omega_p$ = 
0.3$\pi$, $\omega_s$ = 0.5$\pi$ rad/s; 81 = 0.15, 82 = 0.1.
a) Show the filter characteristics according to the design requirements.
b) Design a linear phase FIR filter with rectangular and Hamming
window approaches. Used
Explain the approaches step by step. Use the filter coefficients you have
designed to determine the frequency response of the filter.
and show that it fulfils the requirements.
c) Obtain digital filter from analogue filter by using Butterworth
approximation which satisfies the same requirements.
and select the sampling frequency. Select the sampling frequency as 4
kHz. Digitise with the Tustin approach.

Q) For pass-band frequency wp, clipping 81 and stop-band frequency
ws, clipping 82
A low-pass digital filter is desired to be designed according to. =
0.3π, = 0.5π rad/s; 81 = 0.15, 82 = 0.1.
a) Show the filter characteristics according to the design requirements.
b) Design a linear phase FIR filter with rectangular and Hamming
window approaches. Used
Explain the approaches step by step. Use the filter coefficients you have
designed to determine the frequency response of the filter.
and show that it fulfils the requirements.
c) Obtain digital filter from analogue filter by using Butterworth
approximation which satisfies the same requirements.
and select the sampling frequency. Select the sampling frequency as 4
kHz. Digitise with the Tustin approach.

Added by Melissa H.

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