For FIR filter having the specified impulse response h[n] determine the specified output y[4] for a given input sequence x[n]. Show all your work.

Question

h[n]={-1, 2, -1}
x[n] = {2, 6, 7, 3, 4, 1}

y[4] _____________________

Answer 1

To determine the output y[4], we need to apply the FIR filter to the input sequence x[n] using the convolution sum.

y[4] can be calculated as follows:

y[4] = h[0] * x[4] + h[1] * x[3] + h[2] * x[2]

Substituting the values from the given sequence and impulse response, we get:

y[4] = (-1) * 4 + 2 * 3 + (-1) * 7

y[4] = -4 + 6 - 7

y[4] = -5

Therefore, the output value of y[4] for the given input sequence and impulse response is -5.

Answer 2

Thanks Bot!