Theory of a Frequency-Synthesizing Network

The theoretical basis for designing frequency-combining and selecting circuits is developed. By the introduction of "sideband algebra" and of a frequency symbolic network, the new method offers formal design procedures in place of intuitive ones. This leads directly to finding optimal solutions for frequency-adding or frequency-subtracting problems without limitations as to the relative frequency ratios. The derivation of typical frequency-synthesizing circuits, such as "slave" oscillators and digital frequency selection systems, is discussed, and examples of practical solutions are given.