Suppose that you were given y[n] but did not know the value of the echo time,...

 

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Suppose that you were given y[n] but did not know the value of the echo time, N, or the amplitude of the echo, a. Here we describe a method that can sometimes be used to estimate these values. Rewrite the echo system difference equation in the form y[n] = x[n] * (8[n] + ad[n-N]) consider the signal Ryy[n] = y[n]y[-n]. This is called the autocorrelation fucntion of the signal y[n] and is often used in applications of echo-time esitmation. Part 2. Plot the autorcorrelation function of the echo signal Ry,[n]. Part 3. Plot the autorcorrelation of the recovered voice signal R[n]. Suppose that you were given y[n] but did not know the value of the echo time, N, or the amplitude of the echo, a. Here we describe a method that can sometimes be used to estimate these values. Rewrite the echo system difference equation in the form y[n] = x[n] * (8[n] + ad[n-N]) consider the signal Ryy[n] = y[n]y[-n]. This is called the autocorrelation fucntion of the signal y[n] and is often used in applications of echo-time esitmation. Part 2. Plot the autorcorrelation function of the echo signal Ry,[n]. Part 3. Plot the autorcorrelation of the recovered voice signal R[n].

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Solution f 1 6z 3z2zl To find the pole Now let us find the residue i 3 Resid... View the full answer