A finite impulse response (FIR) high-pass filter is designed using the Window Method. The required specifications...
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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 ] 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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a To design a highpass FIR filter using the Window Method with the specified requirements we need to choose an appropriate window function that can pr... View the full answer
Related Book For
Discrete Time Signal Processing
ISBN: 978-0137549207
2nd Edition
Authors: Alan V. Oppenheim, Rolan W. Schafer
Posted Date:
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