MULTILOOP SIGMA DELTA QUANTIZATION

被引：38

作者：

HE, N ^{[1
]}

KUHLMANN, F ^{[1
]}

BUZO, A ^{[1
]}

机构：

[1] NATL AUTONOMOUS UNIV MEXICO,GRAD SCH ENGN,MEXICO CITY,MEXICO

来源：

IEEE TRANSACTIONS ON INFORMATION THEORY | 1992年 / 38卷 / 03期

关键词：

OVERSAMPLED A/D CONVERSION; SIGMA DELTA MODULATION; FEEDBACK QUANTIZATION; QUANTIZATION NOISE SPECTRA; NOISE SHAPING CODERS; LONG-TERM TIME AVERAGES; NO-OVERLOAD STABILITY;

D O I：

10.1109/18.135642

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

It is shown that, for a multiloop sigma-delta modulator driven by a dc input, the statistical behavior (described by long-term time averages) of the error process from an inner (multibit) quantizer is consistent with that of a signal-indepedent, white, uniform noise. The same result also holds for sinusoidal inputs, provided that the modulator has three or more loops. This behavior is exploited to obtain trade-offs between asymptotic system performances and oversampling ratios, for several sigma-delta modulator/decoding filter pairs. For an L-loop modulator with a simple sinc(L + 1) decoding filter, it is shown that doubling the oversampling ratio can result in an improvement of 3.01(2L + 1) dB in the signal-to-quantization-noise ratio.

引用

页码：1015 / 1028

页数：14

共 32 条

[21] A UNITY BIT CODING METHOD BY NEGATIVE FEEDBACK [J].

INOSE, H ;

YASUDA, Y .

PROCEEDINGS OF THE IEEE, 1963, 51 (11) :1524-&

[22] ANALYSIS OF DC INPUT RESPONSE FOR A CLASS OF ONE-BIT FEEDBACK ENCODERS [J].

KIEFFER, JC .

IEEE TRANSACTIONS ON COMMUNICATIONS, 1990, 38 (03) :337-340

[23]

MATSUYA Y, 1987 P IEEE INT SOL

[24]

Murakami J., 1962, IRE T SPACE ELECTRON, V3, P204, DOI DOI 10.1109/IRET-SET.1962.5008839

[25]

RITCHIE G, 1977, THESIS U PENNSYLVANI

[26] INTERPOLATIVE DIGITAL-TO-ANALOG CONVERTERS [J].

RITCHIE, GR ;

CANDY, JC ;

NINKE, WH .

IEEE TRANSACTIONS ON COMMUNICATIONS, 1974, CO22 (11) :1797-1806

[27]

TEWSBURY SK, 1978, IEEE T CIRCUITS SYST, V25, P436

[28] OVERSAMPLING A-TO-D AND D-TO-A CONVERTERS WITH MULTISTAGE NOISE SHAPING MODULATORS [J].

UCHIMURA, K ;

HAYASHI, T ;

KIMURA, T ;

IWATA, A .

IEEE TRANSACTIONS ON ACOUSTICS SPEECH AND SIGNAL PROCESSING, 1988, 36 (12) :1899-1905

[29]

UCHIMURA K, 1986, 1986 P ICASSP TOK, P1545

[30]

WEYL H., 1916, MATH ANN, V77, P313, DOI [10.1007/BF01475864, DOI 10.1007/BF01475864]

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