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The method of steepest-descent is re-visited in continuous time.It is shown that the continuous time version is a vector differential equation the solution of which is found by integration.Since numerical integration has many forms, we show an alternative to the conventional solution by using a Trapezoidal integration solution.This in turn gives a slightly modified least-mean squares (LMS) algorithm.
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T.J. Moir (2010) studied this question.
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