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categoryالهندسة الكهربائية
schoolبكالوريوس
event_available2026-07-15
السؤال
Transcribed Image Text:
3.4 In a variant of the LMS algorithm called the leaky LMS algorithm, the cost function to be
minimized is defined by
1
(n) = \e(n) + (n)
where w(n) is the parameter vector, e(n) is the estimation error, and λ is a constant. As in
the ordinary LMS algorithm, we have
e(n) = d(n) − w²(n)x(n)
where d(n) is the desired response corresponding to the input vector x(n).
(a) Show that the time update for the parameter vector of the leaky LMS algorithm is
defined by
-
ŵ(n + 1) = (1 − yλ)ŵ(n) + mx(n)e(n)
which includes the ordinary LMS algorithm as a special case.
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