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A Single Matrix Representation for General Digital Filter Structures [Lecture Notes]

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4 Author(s)
J. David Osés del Campo ; An associate professor at the Universidad Politécnica de Madrid, Spain. ; Fernando Cruz-Roldán ; Manuel Blanco-Velasco ; Sergio L. Netto

A matrix representation of a general single-input single-output (SISO) digital filter structure is addressed, proposing a single matrix that stores the complete description of the filter in a very compact and functional format. The proposed matrix contains the structural information corresponding to the block diagram (BD) connections and, at the same time, it can be seen as a valid computational algorithm to implement the filter in the time domain. With this matrix, the gap between the signal flow graph (SFG) and a bit-true implementation of the filter can be considerably reduced. Finally, simple methods to derive the matrix representation from/onto the block diagram and the state-space (SS) mapping are also described and illustrated with some examples.

Published in:

IEEE Signal Processing Magazine  (Volume:28 ,  Issue: 6 )