Solve Exercise 7.21 by estimating the AR parameters using the autocorrelation method. Exercise 7.21 Use the covariance

Question:

Solve Exercise 7.21 by estimating the AR parameters using the autocorrelation method.

Exercise 7.21

Use the covariance method to estimate the PSD of \(L=1024\) samples for the following signal:

\[x(n)=\cos \frac{2 \pi}{L} n+x_{1}(n)\]
where \[x_{1}(n)=a x_{1}(n-1)+x_{2}(n),\]
with \(x_{2}(n)\) being a white Gaussian noise with variance \(1-a^{2}\).

(a) Choose \(a=-0.9\) and \(N=4\).

(b) Choose \(a=-0.9\) and \(N=20\).

(c) Choose \(a=0.9\) and \(N=4\).
Comment on your results.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For  book-img-for-question

Digital Signal Processing System Analysis And Design

ISBN: 9780521887755

2nd Edition

Authors: Paulo S. R. Diniz, Eduardo A. B. Da Silva , Sergio L. Netto

Question Posted: