Stable Single-Bit Noise-Shaping Quantizer Based on ΣΔ Modulation and Successive Data Coding into Pre-Optimized Binary Vectors
Summary :
This paper presents data coding techniques for a stable single-bit noise-shaping quantizer, which has a cascade structure of a multi-bit ΣΔ modulator and a binary interpolator. The binary interpolator chooses a pre-optimized binary vector for each input sample and successively generates the chosen binary vector as an output bit stream. The binary vectors can have different lengths. The paper also proposes two methods to evaluate and bound output errors of a binary interpolator. A multi-bit ΣΔ modulator is designed to cause no overload for all possible input signals whose amplitudes are bounded to a specified level, and thus the ΣΔ modulator rigorously guarantees the stability condition. In design examples, we have evaluated Signal-to-Noise and Distortion Ratios (SNDRs) and noise spectra and then confirmed that our stable quantizers can sharply shape output noise spectra.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E85-A No.8 pp.1781-1788
- Publication Date
- 2002/08/01
- Publicized
- Online ISSN
- DOI
- Type of Manuscript
- Special Section PAPER (Special Section on Digital Signal Processing)
- Category
- Data Coding
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Mitsuhiko YAGYU, Akinori NISHIHARA, "Stable Single-Bit Noise-Shaping Quantizer Based on ΣΔ Modulation and Successive Data Coding into Pre-Optimized Binary Vectors" in IEICE TRANSACTIONS on Fundamentals,
vol. E85-A, no. 8, pp. 1781-1788, August 2002, doi: .
Abstract: This paper presents data coding techniques for a stable single-bit noise-shaping quantizer, which has a cascade structure of a multi-bit ΣΔ modulator and a binary interpolator. The binary interpolator chooses a pre-optimized binary vector for each input sample and successively generates the chosen binary vector as an output bit stream. The binary vectors can have different lengths. The paper also proposes two methods to evaluate and bound output errors of a binary interpolator. A multi-bit ΣΔ modulator is designed to cause no overload for all possible input signals whose amplitudes are bounded to a specified level, and thus the ΣΔ modulator rigorously guarantees the stability condition. In design examples, we have evaluated Signal-to-Noise and Distortion Ratios (SNDRs) and noise spectra and then confirmed that our stable quantizers can sharply shape output noise spectra.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e85-a_8_1781/_p
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@ARTICLE{e85-a_8_1781,
author={Mitsuhiko YAGYU, Akinori NISHIHARA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Stable Single-Bit Noise-Shaping Quantizer Based on ΣΔ Modulation and Successive Data Coding into Pre-Optimized Binary Vectors},
year={2002},
volume={E85-A},
number={8},
pages={1781-1788},
abstract={This paper presents data coding techniques for a stable single-bit noise-shaping quantizer, which has a cascade structure of a multi-bit ΣΔ modulator and a binary interpolator. The binary interpolator chooses a pre-optimized binary vector for each input sample and successively generates the chosen binary vector as an output bit stream. The binary vectors can have different lengths. The paper also proposes two methods to evaluate and bound output errors of a binary interpolator. A multi-bit ΣΔ modulator is designed to cause no overload for all possible input signals whose amplitudes are bounded to a specified level, and thus the ΣΔ modulator rigorously guarantees the stability condition. In design examples, we have evaluated Signal-to-Noise and Distortion Ratios (SNDRs) and noise spectra and then confirmed that our stable quantizers can sharply shape output noise spectra.},
keywords={},
doi={},
ISSN={},
month={August},}
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TY - JOUR
TI - Stable Single-Bit Noise-Shaping Quantizer Based on ΣΔ Modulation and Successive Data Coding into Pre-Optimized Binary Vectors
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1781
EP - 1788
AU - Mitsuhiko YAGYU
AU - Akinori NISHIHARA
PY - 2002
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E85-A
IS - 8
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - August 2002
AB - This paper presents data coding techniques for a stable single-bit noise-shaping quantizer, which has a cascade structure of a multi-bit ΣΔ modulator and a binary interpolator. The binary interpolator chooses a pre-optimized binary vector for each input sample and successively generates the chosen binary vector as an output bit stream. The binary vectors can have different lengths. The paper also proposes two methods to evaluate and bound output errors of a binary interpolator. A multi-bit ΣΔ modulator is designed to cause no overload for all possible input signals whose amplitudes are bounded to a specified level, and thus the ΣΔ modulator rigorously guarantees the stability condition. In design examples, we have evaluated Signal-to-Noise and Distortion Ratios (SNDRs) and noise spectra and then confirmed that our stable quantizers can sharply shape output noise spectra.
ER -
English
