Title :
Stability in a general ΣΔ modulator
Author :
Schreier, Richard ; Snelgrove, Martin
Author_Institution :
Dept. of Electr. Eng., Toronto Univ., Ont., Canada
Abstract :
The stability of a single-quantizer ΣΔ modulator in terms of its noise transfer function is studied. It is shown that stability is conditional upon the input signal, and an explicit formula for the set of all inputs which result in stable behavior is given. In addition, the authors compare the set of modulators stable with zero input to the sets given by several existing rules of thumb and find that these criteria are neither necessary, nor in some cases sufficient, to ensure stability
Keywords :
modulators; noise; signal processing; stability criteria; transfer functions; input signal; modulator stability formula; noise transfer function; rules of thumb; signal processing; single-quantizer ΣΔ modulator; zero input stability; Delta modulation; Delta-sigma modulation; Educational institutions; Noise level; Noise reduction; Noise shaping; Quantization; Stability; Thumb; Transfer functions;
Conference_Titel :
Acoustics, Speech, and Signal Processing, 1991. ICASSP-91., 1991 International Conference on
Conference_Location :
Toronto, Ont.
Print_ISBN :
0-7803-0003-3
DOI :
10.1109/ICASSP.1991.150668