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Vector Sampling Expansions and Linear Canonical Transform
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DOI：10.1109/LSP.2011.2163393.png)
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Abstract
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In a vector sampling expansion (VSE), signals bandlimited to rad/s in the conventional Fourier domain (CFD) pass through multi-input multi-output (MIMO) linear time-invariant (LTI) systems and produce M >= N output bandlimited signals in the CFD. In the uniformly sampled VSE, the outputs of all the systems are uniformly sampled at the same rate while preserving the total number of samples per second equal to NW/pi. In the literature, a necessary condition for perfect signal reconstruction in such a uniformly sampled VSE is discussed which requires M/N to be an integer. It is the purpose of this paper to demonstrate that use of linear canonical transform (LCT) in uniformly sampled VSE allows perfect signal reconstruction even when M/N is not an integer.
Keywords:
Fractional Fourier transform
linear canonical transform
vector sampling expansion
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