nD Polynomial Matrices with Applications to MultidimensionalSignal Analysis
Multidimensional Systems and Signal Processing
On the Decomposition of Two-Dimensional Behaviors
Multidimensional Systems and Signal Processing - Recent progress in multidimensional control theory and applications
Multidimensional Systems and Signal Processing
Multi-Channel Multi-Variate Equalizer Design
Multidimensional Systems and Signal Processing
Multidimensional Systems and Signal Processing
Generic invertibility of multidimensional FIR filter banks and MIMO systems
IEEE Transactions on Signal Processing
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The main features of finite multidimensional behaviors are introduced as properties of the trajectories supports and connected with the polynomial matrices adopted for their description. Observability and local detectability are shown to be equivalent to the kernel representation of a behavior via some parity check matrix HT. The main properties of locally undetectable behaviors as well as their connections with the notion of constrained variables are investigated, and a general representation result for finite support behaviors is derived.The input-output representation via generator matrices is finally discussed, and some connections between matrix primeness and the constraints every trajectory imposes on the support of the corresponding input are analyzed.