2021/07/12 by P.M.S. Burt, Phillip M. S. Burt, Burt, Phillip M. S. +3
Computer Science · Engineering · Mathematics · #Advanced Adaptive Filtering Techniques #Control Systems and Identification #FOS: Electrical engineering #Image and Signal Denoising Methods #Signal Processing (eess.SP) #Statistical and numerical algorithms #eess.SP #electronic engineering #information engineering
paper · pdf · doi:10.48550/arxiv.2107.06144
5 pages, 4 figures
arxiv created 2021/07/12 · arxiv updated 2021/07/20 · openalex publication_date 2022/01/01 · openalex created_date 2022/07/14 · openalex updated_date 2026/08/01
As previously shown, the direct extension of the impulse invariance principle to Volterra kernels has to be modified in order to provide a condition for the exact modeling of mixed-signal chains. At first sight this would seem to seriously complicate the otherwise simple discrete-time realization of separable kernels (among which bilinear kernels are of particular importance). We show here, however, that this not the case. By defining a cascade operator, the structure of a generalized impulse invariance can be unveiled, leading to a realization without an inordinate increase in computational complexity.