Abstract :
The main object of the method is the synthesis itself. The method consists of Möbius transformation (which expands the concept of low-pass analogue) to provide explicit solutions of various low-pass, band-pass, high-pass and band-stop functions of multiple types. The method can be applied directly to given models, such as elliptic, maximally flat, Cheby¿shev or general low-pass analogue types. It should be particularly useful for network specialists with filter problems of high complexity. It is shown that complex functions (e.g. elliptic, hyper-elliptic, general or multi-channel types) can be generated, under certain restrictions, and calculated in an elementary manner without prohibitive numerical accuracy. The simple numerical examples illustrate some aspects of these applications, and give the entire procedure of the design with synthesis details.
