Output Filter Aware Optimization of the Noise Shaping Properties of ΔΣ Modulators Via Semi-Definite Programming
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TLDR
In this paper, the authors propose a framework for optimal design based on the Kalman-Yakubovich-Popov (KYP) lemma and semi-definite programming.Abstract:
The Noise Transfer Function (NTF) of ΔΣ modulators is typically designed after the features of the input signal. We suggest that in many applications, and notably those involving D/D and D/A conversion or actuation, the NTF should instead be shaped after the properties of the output/reconstruction filter. To this aim, we propose a framework for optimal design based on the Kalman-Yakubovich-Popov (KYP) lemma and semi-definite programming. Some examples illustrate how in practical cases the proposed strategy can outperform more standard approaches.read more
Citations
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Journal ArticleDOI
Design of delta-sigma modulators via generalized Kalman-Yakubovich-Popov lemma
TL;DR: This paper is concerned with the design of delta-sigma modulators via the generalized Kalman-Yakubovich-Popov lemma, and the proposed design method has an advantage over the benchmark one in improving the signal-to-noise ratio.
Journal ArticleDOI
Mean Squared Error Analysis of Quantizers With Error Feedback
TL;DR: This paper analyzes the mean squared quantization error of the quantizer with error feedback including the $\Delta \Sigma$ modulators and shows that the amplitude response of the optimal error feedback filter can be parameterized by one parameter.
Journal ArticleDOI
Noise Weighting in the Design of {\Delta}{\Sigma} Modulators (with a Psychoacoustic Coder as an Example)
TL;DR: A design flow for ΔΣ modulators is illustrated, allowing quantization noise to be shaped according to an arbitrary weighting profile, based on finite-impulse-response noise transfer functions, possibly with high order.
Journal ArticleDOI
Noise Weighting in the Design of $\Delta\Sigma$ Modulators (With a Psychoacoustic Coder as an Example)
TL;DR: In this article, a design flow for ΔΣ modulators is illustrated, allowing quantization noise to be shaped according to an arbitrary weighting profile, and the flow is best suited for digital architectures.
Journal ArticleDOI
Unified LMI-based design of ΔΣmodulators
M. Rizwan Tariq,Shuichi Ohno +1 more
TL;DR: Optimal finite impulse response (FIR) error feedback filters for noise shaping in ΔΣ modulators are designed by using weighting functions based on the system norms, which corresponds to the minimization of the system norm.
References
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TL;DR: This chapter discusses the design and simulation of delta-sigma modulator systems, and some of the considerations for implementation considerations for [Delta][Sigma] ADCs.
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TL;DR: Delta-Sigma Data Converters provides comprehensive coverage of low and high-order single-bit, bandpass, continuous-time, multistage modulators as well as advanced topics, including idle-channel tones, stability, decimation and interpolation filter design, and simulation.
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