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