# Question

Find the PSD of the process

A discrete random process, X[n], is generated by repeated tosses of a coin. Let the occurrence of a head be denoted by 1 and that of a tail by - 1. A new discrete random process is generated by Y [2n] = X [n] for n = 0, ± 1, ± 2, … and Y[n] = X[n + 1] for n odd (either positive or negative). Find the autocorrelation function for Y[n].

A discrete random process, X[n], is generated by repeated tosses of a coin. Let the occurrence of a head be denoted by 1 and that of a tail by - 1. A new discrete random process is generated by Y [2n] = X [n] for n = 0, ± 1, ± 2, … and Y[n] = X[n + 1] for n odd (either positive or negative). Find the autocorrelation function for Y[n].

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