Title :
ΣΔ modulation is a mapping
Author :
Schreier, Richard ; Snelgrove, W.M.
Author_Institution :
Dept. of Electr. Eng., Toronto Univ., Ont., Canada
Abstract :
The authors take the viewpoint that ΣΔ modulation is a mapping in the mathematical sense. They describe the mapping in mathematical terms and find that it is a projection. An explicit formula is given for the set of all inputs which give rise to any given output pattern. The fact that the mapping is a projection suggests the existence of limit-cycles and the authors investigate these in both low-pass and bandpass modulators. They take this one step further with an examination of the related phenomenon of amplitude quantization in nonideal modulators
Keywords :
delta modulation; limit cycles; modulators; ADC; amplitude quantization; bandpass modulators; limit-cycles; low-pass modulators; mapping; nonideal modulators; projection; sigma-delta modulation; Amplitude modulation; Delta-sigma modulation; Distributed computing; Equations; Filtering theory; Limit-cycles; Quantization; Signal analysis; Signal to noise ratio; Transfer functions;
Conference_Titel :
Circuits and Systems, 1991., IEEE International Sympoisum on
Print_ISBN :
0-7803-0050-5
DOI :
10.1109/ISCAS.1991.176063
