Y transform, for the design of recursive digital filters
A.G. Bolton · IEE Proceedings G (Electronic Circuits and Systems) · 1980
The Y operator, y = (1−z−1)/T, gives digital differentiation. Recursive digital filters are more conveniently designed using the y rather than the z operator. It relates closely to Laplace transforms and to microprocessor algorithms. 1/y filter elements give improved filter sensitivity to coefficient wordlength. Furthermore, accurate compensation can be made for sampling.