b) Calculate autocorrelation, rhh [n] and cross-correlation, rxh [n] of the system above.

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Author:Robert L. Boylestad
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x[n]
and
h₁ [n]
h₂[n]
h[n]
Figure 1
▼+
→y[n]
A digital system consists of the input signal, x[n], system impulse response, h[n], and
the output signal, y[n] as shown in Figure 1. Given
h₁[n] = 28[n] + [n - 2]
h₂[n] = u[n] + r[n] − 2r[n − 1] + r[n − 2] − u[n − 3].
By assuming that the input signal, x[n] is = 2,0,0,0
Transcribed Image Text:x[n] and h₁ [n] h₂[n] h[n] Figure 1 ▼+ →y[n] A digital system consists of the input signal, x[n], system impulse response, h[n], and the output signal, y[n] as shown in Figure 1. Given h₁[n] = 28[n] + [n - 2] h₂[n] = u[n] + r[n] − 2r[n − 1] + r[n − 2] − u[n − 3]. By assuming that the input signal, x[n] is = 2,0,0,0
b) Calculate autocorrelation, rhh [n] and cross-correlation, rxh [n] of the system above.
Transcribed Image Text:b) Calculate autocorrelation, rhh [n] and cross-correlation, rxh [n] of the system above.
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