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New results in multidimensional multirate systems

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1 Author(s)
Vaidyanathan, P.P. ; Dept. of Electr. Eng., California Inst. of Technol., Pasadena, CA, USA

In multidimensional multirate systems one encounters an integer matrix M, which typically takes the role of decimators and interpolators. If M is diagonal, many of the concepts of one-dimensional systems extend automatically. In the present work, the author uses the Smith-form diagonalization of M to relate arbitrary systems to systems having diagonal decimation and interpolation matrices. Applications in maximally decimated filter banks and in the study of the generalized DFT (discrete Fourier transform) are considered

Published in:

Circuits and Systems, 1991., IEEE International Sympoisum on

Date of Conference:

11-14 Jun 1991