Question: 4. An LTI system is described by the difference equation (20%) y[n] = x[n] - 4x[n 1] + 3x[n -2] - 4x[n 3] + x[n

4. An LTI system is described by the difference

4. An LTI system is described by the difference equation (20%) y[n] = x[n] - 4x[n 1] + 3x[n -2] - 4x[n 3] + x[n 4] a. Obtain an expression for the frequency response of this system b. What is the output if the input is x[n] = 3 + 2 cos(0.5T(n 2)) C. Determine the impulse response of this LTI filter

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