Question: The step-size parameter plays a critical role in the operation of the LMS algorithm. In this context, discuss the following two issues: (a) Stability. If

The step-size parameter plays a critical role in the operation of the LMS algorithm. In this context, discuss the following two issues:

(a) Stability. If exceeds a certain critical value, the algorithm diverges (i.e., the system becomes unstable).

(b) Memory. The reciprocal of may be viewed as a measure of the algorithm’s memory. As we make μ smaller, more of the past samples of the input signal influence operation of the algorithm.

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