Practice Assignment Signal ModelingADSP

Q1. (a) For the finite data record x [n ]=(−0.2 )n for n=0,1 ,…,49 use autocorrelation and

auto-covariance method for generating a first order model for the data.(b) Which method model the data better, give rational if there is any?

Q2. (a) Solve the autocorrelation normal equations using Levinson Durbun Recursion to

find a 2nd order all pole model for a signal having autocorrelation values rx(0) = 1, rx(1) = 0.3, rx(2) = 0.2

(b) Write transfer function H ( z ) and the associated difference equation for the model

(c) Generate first five samples from the model using the difference equation of part (b).