Question: The filter described by y[n] = x[n] + x[n - 1] is connected in parallel with another filter with impulse response g[n], such that

The filter described by y[n] = x[n] + x[n - 1] is connected in parallel with another filter with impulse

The filter described by y[n] = x[n] + x[n - 1] is connected in parallel with another filter with impulse response g[n], such that the result- ing parallel interconnection has an overall frequency response H(e) = That is to say, when viewing the parallel connection of the two filters as a single overall system (in other words, the output signals of the two filters are added up to form the output signal of the overall system), its overall frequency response is given by H(e). Determine the impulse response g[n] as well as its corresponding frequency response G(e). -de-j2w 1-e-

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