nick@paladin.Owego.NY.US (Carmine Nicoletta) (10/09/90)
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. Please respond via E-mail.