Design a decimator that downsamples an input signal x(n) by a factor D = 5. Use the Remez algorithm to determine the coefficients of the FIR filter that has a 0.1-dB ripple in the passband (0 ≤ ω ≤ π/5) and is down by at least 30 dB in the stopband. Also determine the corresponding polyphase filter structure for implementing the decimator.
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