Title :
Sigma-delta quantization and finite frames
Author :
Benedetto, John J. ; Yílmaz, Ö Zgür ; Powell, Alexander M.
Author_Institution :
Dept. of Math., Maryland Univ., College Park, MD, USA
Abstract :
It is shown that sigma-delta (ΣΔ) algorithms can be used effectively to quantize finite frame expansions for Rd. Error estimates for various quantized frame expansions are derived, and, in particular, it is shown that ΣΔ quantizers outperform the standard PCM schemes.
Keywords :
parameter estimation; quantisation (signal); sigma-delta modulation; signal representation; ΣΔ quantizers; PCM schemes; atomic decomposition; digital representation; error estimates; finite frame expansions; sigma-delta quantization; signal processing; Delta-sigma modulation; Dictionaries; Digital signal processing; Educational institutions; Hilbert space; Mathematics; Phase change materials; Quantization; Signal processing; Signal processing algorithms;
Conference_Titel :
Acoustics, Speech, and Signal Processing, 2004. Proceedings. (ICASSP '04). IEEE International Conference on
Print_ISBN :
0-7803-8484-9
DOI :
10.1109/ICASSP.2004.1326700