Fixed-point analysis and parameter selections of MSR-CORDIC with applications to FFT designs
Mixed-scaling-rotation (MSR) coordinate rotation digital computer (CORDIC) is an attractive approach to synthesizing complex rotators. This paper presents the fixed-point error analysis and parameter selections of MSR-CORDIC with applications to the fast Fourier transform (FFT). First, the fixed-poi...
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sg-ntu-dr.10356-998262020-03-07T14:00:31Z Fixed-point analysis and parameter selections of MSR-CORDIC with applications to FFT designs Park, Sang Yoon Yu, Ya Jun School of Electrical and Electronic Engineering DRNTU::Engineering::Electrical and electronic engineering Mixed-scaling-rotation (MSR) coordinate rotation digital computer (CORDIC) is an attractive approach to synthesizing complex rotators. This paper presents the fixed-point error analysis and parameter selections of MSR-CORDIC with applications to the fast Fourier transform (FFT). First, the fixed-point mean squared error of the MSR-CORDIC is analyzed by considering both the angle approximation error and signal round-off error incurred in the finite precision arithmetic. The signal to quantization noise ratio (SQNR) of the output of the FFT synthesized using MSR-CORDIC is thereafter estimated. Based on these analyses, two different parameter selection algorithms of MSR-CORDIC are proposed for general and dedicated MSR-CORDIC structures. The proposed algorithms minimize the number of adders and word-length when the SQNR of the FFT output is constrained. Design examples show that the FFT designed by the proposed method exhibits a lower hardware complexity than existing methods. 2013-09-19T08:10:50Z 2019-12-06T20:12:04Z 2013-09-19T08:10:50Z 2019-12-06T20:12:04Z 2012 2012 Journal Article Park, S. Y., & Yu, Y. J. (2012). Fixed-point analysis and parameter selections of MSR-CORDIC with applications to FFT designs. IEEE transactions on signal processing, 60(12), 6245-6256. 1053-587X https://hdl.handle.net/10356/99826 http://hdl.handle.net/10220/13536 10.1109/TSP.2012.2214218 en IEEE transactions on signal processing © 2012 IEEE |
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DRNTU::Engineering::Electrical and electronic engineering Park, Sang Yoon Yu, Ya Jun Fixed-point analysis and parameter selections of MSR-CORDIC with applications to FFT designs |
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Mixed-scaling-rotation (MSR) coordinate rotation digital computer (CORDIC) is an attractive approach to synthesizing complex rotators. This paper presents the fixed-point error analysis and parameter selections of MSR-CORDIC with applications to the fast Fourier transform (FFT). First, the fixed-point mean squared error of the MSR-CORDIC is analyzed by considering both the angle approximation error and signal round-off error incurred in the finite precision arithmetic. The signal to quantization noise ratio (SQNR) of the output of the FFT synthesized using MSR-CORDIC is thereafter estimated. Based on these analyses, two different parameter selection algorithms of MSR-CORDIC are proposed for general and dedicated MSR-CORDIC structures. The proposed algorithms minimize the number of adders and word-length when the SQNR of the FFT output is constrained. Design examples show that the FFT designed by the proposed method exhibits a lower hardware complexity than existing methods. |
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School of Electrical and Electronic Engineering |
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School of Electrical and Electronic Engineering Park, Sang Yoon Yu, Ya Jun |
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Article |
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Park, Sang Yoon Yu, Ya Jun |
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Park, Sang Yoon |
title |
Fixed-point analysis and parameter selections of MSR-CORDIC with applications to FFT designs |
title_short |
Fixed-point analysis and parameter selections of MSR-CORDIC with applications to FFT designs |
title_full |
Fixed-point analysis and parameter selections of MSR-CORDIC with applications to FFT designs |
title_fullStr |
Fixed-point analysis and parameter selections of MSR-CORDIC with applications to FFT designs |
title_full_unstemmed |
Fixed-point analysis and parameter selections of MSR-CORDIC with applications to FFT designs |
title_sort |
fixed-point analysis and parameter selections of msr-cordic with applications to fft designs |
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2013 |
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https://hdl.handle.net/10356/99826 http://hdl.handle.net/10220/13536 |
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