Wave‐digital cascade synthesis

The purpose of this paper is to demonstrate the possibility of a wave-digital cascade synthesis. Each section, reciprocal as well as non-reciprocal, being for instance the result of a cascade synthesis based on the factorization of the transfer matrix of an analogue lossless two-port network, is translated into a wave-digital realization. Except for the zero-order sections, it is shown to be sufficient that each section is cascaded with one unit-element in order to obtain an equivalent network which can be translated into wave-digital form. It gives some insight in the price to be paid in terms of complexity of the realization if a perfectly general transfer function is to be realized in wave-digital form. By some examples it is shown how each structure which has been introduced can be ‘passified’ if it cannot be realized by a lossless structure.