Moir, TJ2011-06-092011-06-0920102010The Open Signal Processing Journal, vol.3, pp.1 - 51876-8253 (print)https://hdl.handle.net/10292/1247The 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.© Bentham Science Publishing 2010. All Rights Reserved (http://www.benthamscience.com). Authors retain the right to place his/her pre-publication (post-print) version of the work on a personal website or institutional repository (please see Citation and Publisher’s Version).Steepest-DescentLeast-mean squares (LMS)Adaptive filtersJournal ArticleOpenAccess10.2174/1876825301003010001