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A Class of 1-Bit Multi-Step Look-Ahead <span class="MathJax_Preview" style="">\Sigma </span><script type="math/tex" id="MathJax-Element-1">\Sigma </script> - <span class="MathJax_Preview" style="">\Delta </span><script type="math/tex" id="MathJax-Element-2">\Delta </script> Modulators | IEEE Journals & Magazine | IEEE Xplore
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A Class of 1-Bit Multi-Step Look-Ahead \Sigma - \Delta Modulators


Abstract:

Digital Multi-Step Look-Ahead (MSLA) 1-bit Σ-Δ modulators are introduced. They improve upon the stability and noise shaping characteristics of conventional 1-bit Σ-Δ modu...Show More

Abstract:

Digital Multi-Step Look-Ahead (MSLA) 1-bit Σ-Δ modulators are introduced. They improve upon the stability and noise shaping characteristics of conventional 1-bit Σ-Δ modulators by minimizing quantization error metrics of the current and future output samples. The mathematical model of the proposed MSLA modulators is analyzed. It is shown that the MSLA modulators are equivalent to a system of conventional Σ-Δ modulators in parallel, but with a common multi-input 1-bit quantizer instead of a typical one. The properties of this multi-input quantizer are studied and the transfer functions of the MSLA modulators are derived. Simulation results are presented demonstrating the advantages of the MSLA modulators over conventional 1-bit Σ-Δ ones in a number of applications. A parametric hardware architecture of the MSLA modulators is presented offering an adjustable trade-off between performance and hardware complexity based on the number of look-ahead steps. Finally, a FPGA implementation of a MSLA modulator is presented along with simulation results.
Published in: IEEE Transactions on Circuits and Systems I: Regular Papers ( Volume: 64, Issue: 1, January 2017)
Page(s): 24 - 37
Date of Publication: 26 October 2016

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