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From: nick@paladin.Owego.NY.US (Carmine Nicoletta)
Newsgroups: sci.electronics,sci.math
Subject: Orthogonality in general
Keywords: Vectors, Signal, Filters, Basis
Message-ID: <675@paladin.Owego.NY.US>
Date: 9 Oct 90 01:45:50 GMT
Followup-To: poster
Distribution: usa
Organization: The Design Committee
Lines: 13

In signal detection of M-ary signals, there is often the need to obtain 
orthonormal basis vector sets.  There are many suitable choices, the most
ovious are sin(x) and cos(x).  But there are also Legendre functions, Hermite
functions, and Bessel functions.
For a finite set of signals, s1(t), s2(t),.... sm(t) defined on some interval,
an orthonormal basis for the signal space can be obtained by using the
Gram-Schmidt procedure.  This is a very straight forward procedure discussed
in many Linear Algebra texts.
My problem is this: how does this procedure relate to frequency response of
filters.  For example, how does one come up with an N set of filters whose
frequency responses are orthogonal to each other.

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