Algebraic signal processing theory: Foundation and 1-D time

IEEE Transactions on Signal Processing

Volumn 56, Issue 8 I, 2008, Pages 3572-3585

  Püschel, Püschel ^a   Moura, José M F ^a  

^a CARNEGIE MELLON UNIVERSITY   (United States)

Author keywords

Algebra; Boundary condition; Convolution; Filter; Fourier transform; Irreducible; Module; Polynomial transform; Representation theory; Shift; Shift invariant; Signal extension; Signal model; Spectrum; Z transform

Indexed keywords

ALGEBRA; BOOLEAN ALGEBRA; BOUNDARY CONDITIONS; BOUNDARY VALUE PROBLEMS; CONTROL THEORY; DISCRETE FOURIER TRANSFORMS; MATHEMATICAL TRANSFORMATIONS; MATRIX ALGEBRA; SIGNAL PROCESSING; STANDARDS; TRANSIENTS; WAVE FILTERS;

AXIOMATIC APPROACH; BOUNDARY CONDITION; BOUNDARY CONDITIONING; CONVOLUTION; DISCRETE FOURIER TRANSFORM (DFT); FAST ALGORITHMS; FILTER; FINITE DISCRETE TIME; FINITE TIME; FOURIER; FOURIER TRANSFORM; INFINITE TIME; IRREDUCIBLE; LINEAR SIGNAL PROCESSING; LINEAR TRANSFORMS; MODULE; MULTIDIMENSIONAL SIGNALING; POLYNOMIAL TRANSFORM; REPRESENTATION THEORY; SHIFT; SHIFT-INVARIANCE; SHIFT-INVARIANT; SIGNAL EXTENSION; SIGNAL MODEL; SIGNAL MODELING; SIGNAL PROCESSING THEORIES; SIGNAL SAMPLES; SIGNAL SPACES; SPECIFIC CLASS; SPECTRUM; SYSTEMATIC METHODOLOGY; TIME SHIFTS; VECTOR SPACES; Z TRANSFORMS; Z-TRANSFORM;

FOURIER TRANSFORMS;

EID: 44449141641     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSP.2008.925261     Document Type: Article

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