Determine and sketch frequency response for resulting filter

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Reference no: EM13253748

A three-point symmetric moving average filter, referred to as a weighted moving average is of the form

\(y[n]=b(ax[nu22121]+x[n]+ax[n+1])\)

(a) Determine as a function of a and b the frequency response

\(H(e^{j\omega})\)

of this system.

(b) Determine the scaling factor b such that

\(H(e^{j\omega})\)

has a gain of 1 when

\(\omega=0\)

(c) A common choice for a in analyzing time series is to set a=1/2. Determine and sketch the frequency response for the resulting filter.

Reference no: EM13253748

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