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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?](https://i0.wp.com/electricalstudent.com/wp-content/uploads/2023/07/683fdff6-262d-47bf-ab73-a9f14369edb6-4844-00000752270151d6_file.jpg?resize=1024%2C402&ssl=1 "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?](https://i0.wp.com/electricalstudent.com/wp-content/uploads/2023/07/1adcb629-5da7-49f3-8712-93efc4525dda-4844-000007524ced4416_file.jpg?resize=724%2C1024&ssl=1 "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?](https://i0.wp.com/electricalstudent.com/wp-content/uploads/2023/07/98eae428-2304-4a83-83da-30047d7e263c-4844-000007524d0174bf_file.jpg?resize=724%2C1024&ssl=1 "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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