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An LTI discrete-time system has the unit-impulse response.
h[n]=(-1)nu[n]
Consider the following input to the system.
x[n]=u[n]-u[n-3]
with zero initial conditions.
a) Find X[k], the 10 point DFT of x[n].
b) Find H[k], the 10 point DFT of h[n].
c) Compute the output response of the system y[n], 0 ≤ n ≤ 4, using the convolution sum.
d) Compute the output response of the system y[n], 0 ≤ n ≤ 4, using the DFT and IDFT.
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Design a datapath which will do one of the following. (1) add the value in register A to the calue in one of the registers R0 through R3 and store the result back in A, (2) subtract the value of one of the four registers R0 through R3 into registe..
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