Title :
Pontrjagin duality and digital signal processing
Author_Institution :
INRS Telecommun., Montreal, Que., Canada
fDate :
5/1/1995 12:00:00 AM
Abstract :
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
Keywords :
Fourier transforms; duality (mathematics); signal sampling; Fourier transforms; Pontrjagin duality; abstract abelian group; aliasing; digital signal processing; quotient groups; sampling; subgroups; Convolution; Councils; Digital signal processing; Fourier transforms; Harmonic analysis; Sampling methods; Signal analysis; Signal processing; Signal sampling; Zinc;
Journal_Title :
Education, IEEE Transactions on
