For the following random processes define if case that X[n] is WSS, define its mean and au a) X[n] is a Bernoulli random process for - random variables with each random va

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Chapter1: Combinatorial Analysis
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**Random Processes and WSS Evaluation**

**1. Task:**  
For the following random processes, determine if \( X[n] \) is a Wide-Sense Stationary (WSS) random process. If \( X[n] \) is WSS, define its mean and autocorrelation sequence.

**a) Bernoulli Random Process:**  
\( X[n] \) is a Bernoulli random process for \( -\infty < n < \infty \) and consists of independent random variables, with each random variable taking on the values \( +1 \) and \( -1 \) with probabilities \( p \) and \( 1 - p \), respectively.
Transcribed Image Text:**Random Processes and WSS Evaluation** **1. Task:** For the following random processes, determine if \( X[n] \) is a Wide-Sense Stationary (WSS) random process. If \( X[n] \) is WSS, define its mean and autocorrelation sequence. **a) Bernoulli Random Process:** \( X[n] \) is a Bernoulli random process for \( -\infty < n < \infty \) and consists of independent random variables, with each random variable taking on the values \( +1 \) and \( -1 \) with probabilities \( p \) and \( 1 - p \), respectively.
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