Question: A speech signal with bandwidth B = 10 kHz is sampled at F2 = 20 kHz. Suppose that the signals is corrupted by four sinusoids

A speech signal with bandwidth B = 10 kHz is sampled at F2 = 20 kHz. Suppose that the signals is corrupted by four sinusoids with frequencies
F1 = 10,000 Hz, F3 = 7778 Hz,
F2 = 8889 Hz, F4 = 6667 Hz
(a) Design a FIR filter that eliminates these frequency components.
(b) Choose the gain of the filter so that |H (0)| = 1 and then plot the log magnitude response and the phase response of the filter.
(c) Does the filter fulfill your objectives? Do you recommend the use of this filter in a practical application?

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