Wide-sense translinear systems

The advantage of additive or homomorphic superposition is that the output corresponding to a particular input can be deducted from outputs to simpler inputs in terms of which that particular input can be synthesized. Two examples of synthetically deductible, or wide-sense translinear, systems are discussed. The discussion concerns the Chinese product property of discrete Fourier transforms and the Kronecker product systems. Since the concept of wide-sense translinear systems extracts the essence of linear systems and generalizes it, it will be possible to identify systems encountered in relevant problems as wide-sense translinear, so that the analysis could be performed in terms of simpler component systems.