Gröbner Bases and Multidimensional FIR Multirate Systems
Multidimensional Systems and Signal Processing
nD Polynomial Matrices with Applications to MultidimensionalSignal Analysis
Multidimensional Systems and Signal Processing
Inverses of Multivariable Polynomial Matrices by Discrete Fourier Transforms
Multidimensional Systems and Signal Processing
On the computation of the inverse of a two-variable polynomial matrix by interpolation
Multidimensional Systems and Signal Processing
On the Newton bivariate polynomial interpolation with applications
Multidimensional Systems and Signal Processing
Realization of 2D convolutional codes of rate $$\frac{1}{n}$$ by separable Roesser models
Designs, Codes and Cryptography
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A new class of rectangular zero prime multivariate polynomial matrices are introduced and their inverses are computed. These matrices are ideal for use in multidimensional systems involving input-output transformations. We show that certain multivariate polynomial matrices, when transformed to the sequence space domain, have an invertible subsequence map between their input and output sequences. This invertible subsequence map can be used to derive the polynomial inverse matrix together with a set of pseudo-inverses. All computations are performed using elementary operations on the ground field without using any polynomial operations.