The design of a lowpass linear-phase fir filter

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Consider the design of a lowpass linear-phase FIR filter by means of the Parks-McClellan algorithm. Use the alternation theorem to argue that the approximation must decrease monotonically in the "don't care" region between the passband and the stopband approximation intervals. Hint: Show that all the local maxima and minima of the trigonometric polynomial must be in either the passband or the stopband to satisfy the alternation theorem.

Reference no: EM131140485

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