Question: A finite impulse response (FIR) high-pass filter is designed using the Window Method. The required specifications are: fstop = 2kHz, fpass = 4kHz, stopband

A finite impulse response (FIR) high-pass filter is designed using the Window Method. The required

A finite impulse response (FIR) high-pass filter is designed using the Window Method. The required specifications are: fstop = 2kHz, fpass = 4kHz, stopband attenuation=-50dB, passband attenuation = 0.039dB and sampling frequency f, - 8kHz. (a) Which of the following window(s) can be used to implement such a filter? Give justification. Rectangular, Hanning, Hamming, Blackman [ 5 marks ] (b) Assuming that the Hamming Window is used for the filter design, derive an expression for the high-pass filter's impulse response, hup[k]. Show your work. [25 marks] (c) Explain why there are ripples in the passband of any FIR filter's magnitude response. [2 marks ] (d) Name and describe an effective way to reduce the amplitude of the ripples in an FIR filter's magnitude response. [3 marks ]

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