ABSTRACT

In this chapter, some direct and indirect realization methods are considered in detail. It begins with methods that are suitable for the realization of non-recursive filters of the type that can be designed using the McClellan transformation. One of the important methods for the design of non-recursive filters is that based on the McClellan transformation method described in this chapter. An alternative realization method that yields structures with low sensitivity and round-off noise in addition to low computational complexity is one proposed by McClellan and Chan. The transfer function of a non-recursive 2-D filter can be expressed as a quadratic form where the matrix involved is actually an array of the filter coefficients. A number of different indirect 1-D realizations can be obtained by converting analog-filter networks into corresponding digital-filter networks through the application of network-theoretic concepts in conjunction with some simple transformations.