2. (30%) A signal x[n] is to be resampled by a factor of 4/5. It has a total bandwidth of 0.87 but we want to preserve f

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2 30 A Signal X N Is To Be Resampled By A Factor Of 4 5 It Has A Total Bandwidth Of 0 87 But We Want To Preserve F 1 (43.02 KiB) Viewed 127 times

2. (30%) A signal x[n] is to be resampled by a factor of 4/5. It has a total bandwidth of 0.87 but we want to preserve frequencies only up to 0.75 and require that the band up to 0.57 be free of aliasing in the resample process. (a) Using the Parks-McClellan algorithm, determine the coefficients of the FIR filter that had 0.1 dB ripple in the passband and 40 dB attenuation in the stopband. Choose reasonable values for the band-edge frequencies. (b) Provide plots of the impulse response and the log-magnitude response. (c) Generate a 101-length sequence x[n] whose frequency-domain sampled values are 0.7 at co=0, 1 at =0.3, 1 at 0-0.7, 0.5 at -0.75, 0 at w=0.8, and 0 at = π. Process x[n] using the above-designed filter to resample it by a factor of 4/5 to obtain y[m]. Provide the spectral plots of both sequences.