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Pontrjagin duality and digital signal processing

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1 Author(s)
P. Kenny ; INRS Telecommun., Montreal, Que., Canada

All of the Fourier transforms encountered in signal processing can be regarded as instances of a single universal object-the Fourier transform associated with an abstract abelian group. We show how this way of looking at things leads to a natural and simple account of the similarities between the properties of the Fourier transforms associated with different types of signal and how it sheds a new light on the duality between sampling and aliasing

Published in:

IEEE Transactions on Education  (Volume:38 ,  Issue: 2 )