Multidimensional Filtering Investigations.
Sankar Basu · 1987
New classes of multivariable polynomials arising in studies of passive multidimensional systems have been identified and their properties have been studied. The problem of structurally passive synthesis of multidimensional digital filters as a cascade interconnection of more elementary building blocks has been addressed via the factorization matrix. The problem of sampling rate alternation of deterministic multidimensional signals is addressed on the basis of frequency domain description of the signal. Experiments with digitized images are also reported to demonstrate the performance of the designed interpolation and decimation schemes. Keywords include: Filters; Multi-dimensional filtering; Signal processing; Passive filters; and Lossless Filters.