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Home/4. Suppose that the frequency response of a filter is given by:a) Write the difference equation that relates the input a[n] to the output y[n].(b) What is the output if the input is x[n] = δ [n]?(c) If the input is of the form z[n] = Acos(ŵn + pi), for what values of w will the output y[n] be zero?

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4. Suppose that the frequency response of a filter is given by:a) Write the difference equation that relates the input a[n] to the output y[n].(b) What is the output if the input is x[n] = δ [n]?(c) If the input is of the form z[n] = Acos(ŵn + pi), for what values of w will the output y[n] be zero?

4. Suppose that the frequency response of a filter is given by:a) Write the difference equation that relates the input a[n] to the output y[n].(b) What is the output if the input is x[n] = δ [n]?(c) If the input is of the form z[n] = Acos(ŵn + pi), for what values of w will the output y[n] be zero?

4. Suppose that the frequency response of a filter is given by:a) Write the difference equation that relates the input a[n] to the output y[n].(b) What is the output if the input is x[n] = δ [n]?(c) If the input is of the form z[n] = Acos(ŵn + pi), for what values of w will the output y[n] be zero?

4. Suppose that the frequency response of a filter is given by:a) Write the difference equation that relates the input a[n] to the output y[n].(b) What is the output if the input is x[n] = δ [n]?(c) If the input is of the form z[n] = Acos(ŵn + pi), for what values of w will the output y[n] be zero?