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Discussion of possible adjustment of the adaptive filtering algorithms description to selected discrete transformation. (Polish. English summary) Zbl 1194.94032

Summary: The author presents a filter design method for transmultiplexation. The synthesis and analysis filters are assumed to be of higher length than the number of transmultiplexed signals. The reasoning based on the matrix description of the up-sampled signals led to formulation of the conditions of perfect reconstruction in such case. The general discussion has been illustrated with a numerical example for 3 signals and filters of assumed length of 5.

MSC:

94A12 Signal theory (characterization, reconstruction, filtering, etc.)
93E11 Filtering in stochastic control theory