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ICASSP
2009
IEEE

Generic invertibility of multidimensional FIR multirate systems and filter banks

10 years 4 months ago
Generic invertibility of multidimensional FIR multirate systems and filter banks
We study the invertibility of M-variate polynomial (respectively : Laurent polynomial) matrices of size N by P. Such matrices represent multidimensional systems in various settings including filter banks, multiple-input multiple-outputsystems, and multirate systems. The main result of this paper is to prove that when N − P ≥ M, then H(z) is generically invertible; whereas when N − P < M, then H(z) is generically noninvertible. As a result, we can have an alternative approach in design of the multidimensional systems.
K. L. Law, Robert M. Fossum, Minh N. Do
Added 21 May 2010
Updated 21 May 2010
Type Conference
Year 2009
Where ICASSP
Authors K. L. Law, Robert M. Fossum, Minh N. Do
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