1. (30%) + Using the Parks-McClellan algorithm (fdatools), design a decimator that downsamples an input signal x[n] by a
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1. (30%) + Using the Parks-McClellan algorithm (fdatools), design a decimator that downsamples an input signal x[n] by a
1. (30%) + Using the Parks-McClellan algorithm (fdatools), design a decimator that downsamples an input signal x[n] by a factor of M = 3. (a) Determine the coefficients of the FIR filter that had 0.5 dB ripple in the passband and 30 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) Let x[n] = sin(0.2лn) + 0.2 cos(0.5лn). Generate 500 samples of x[n] and process it using the above-designed filter to decimate by M=3 to obtain y[m]. Provide stem plots of both sequences.
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