Approximation Orthogonal Filters By Almost Orthogonal Chebyshev Functions

In this paper, a set of almost orthogonal Chebyshev polynomials on (−1, 1) is considered in a new manner to approximate signals generated by systems with built in imperfections. Defining relations of these functions can be used for designing almost orthogonal filters. These filters are generators of orthogonal signals and can be successfully applied in finding the best signal approximation in the mean square error sense. An example is included for demonstrating the efficiency of the method. The results reveal that our method is very effective.