Design and Implementation of Hybrid CORDIC Algorithm Based on Phase Rotation Estimation for NCO
The numerical controlled oscillator has wide application in radar, digital receiver, and software radio system. Firstly, thispaper introduces the traditional CORDIC algorithm. Then in order to improve computing speed and save resources, this paperproposes a kind of hybrid CORDIC algorithm based on p...
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| Published in | TheScientificWorld Vol. 2014; no. 2014; pp. 1 - 8 |
|---|---|
| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
Cairo, Egypt
Hindawi Publishing Corporation
01.01.2014
John Wiley & Sons, Inc Wiley |
| Subjects | |
| Online Access | Get full text |
| ISSN | 2356-6140 1537-744X 1537-744X |
| DOI | 10.1155/2014/897381 |
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| Abstract | The numerical controlled oscillator has wide application in radar, digital receiver, and software radio system. Firstly, thispaper introduces the traditional CORDIC algorithm. Then in order to improve computing speed and save resources, this paperproposes a kind of hybrid CORDIC algorithm based on phase rotation estimation applied in numerical controlled oscillator (NCO). Through estimating the direction of part phase rotation, the algorithm reduces part phase rotation and add-subtract unit, so that itdecreases delay. Furthermore, the paper simulates and implements the numerical controlled oscillator by Quartus II software andModelsim software. Finally, simulation results indicate that the improvement over traditional CORDIC algorithm is achieved interms of ease of computation, resource utilization, and computing speed/delay while maintaining the precision. It is suitable for highspeed and precision digital modulation and demodulation. |
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| AbstractList | The numerical controlled oscillator has wide application in radar, digital receiver, and software radio system. Firstly, this
paper introduces the traditional CORDIC algorithm. Then in order to improve computing speed and save resources, this paper
proposes a kind of hybrid CORDIC algorithm based on phase rotation estimation applied in numerical controlled oscillator (NCO).
Through estimating the direction of part phase rotation, the algorithm reduces part phase rotation and add-subtract unit, so that it
decreases delay. Furthermore, the paper simulates and implements the numerical controlled oscillator by Quartus II software and
Modelsim software. Finally, simulation results indicate that the improvement over traditional CORDIC algorithm is achieved in
terms of ease of computation, resource utilization, and computing speed/delay while maintaining the precision. It is suitable for high
speed and precision digital modulation and demodulation. The numerical controlled oscillator has wide application in radar, digital receiver, and software radio system. Firstly, this paper introduces the traditional CORDIC algorithm. Then in order to improve computing speed and save resources, this paper proposes a kind of hybrid CORDIC algorithm based on phase rotation estimation applied in numerical controlled oscillator (NCO). Through estimating the direction of part phase rotation, the algorithm reduces part phase rotation and add-subtract unit, so that it decreases delay. Furthermore, the paper simulates and implements the numerical controlled oscillator by Quartus II software and Modelsim software. Finally, simulation results indicate that the improvement over traditional CORDIC algorithm is achieved in terms of ease of computation, resource utilization, and computing speed/delay while maintaining the precision. It is suitable for high speed and precision digital modulation and demodulation. The numerical controlled oscillator has wide application in radar, digital receiver, and software radio system. Firstly, thispaper introduces the traditional CORDIC algorithm. Then in order to improve computing speed and save resources, this paperproposes a kind of hybrid CORDIC algorithm based on phase rotation estimation applied in numerical controlled oscillator (NCO). Through estimating the direction of part phase rotation, the algorithm reduces part phase rotation and add-subtract unit, so that itdecreases delay. Furthermore, the paper simulates and implements the numerical controlled oscillator by Quartus II software andModelsim software. Finally, simulation results indicate that the improvement over traditional CORDIC algorithm is achieved interms of ease of computation, resource utilization, and computing speed/delay while maintaining the precision. It is suitable for highspeed and precision digital modulation and demodulation. The numerical controlled oscillator has wide application in radar, digital receiver, and software radio system. Firstly, this paper introduces the traditional CORDIC algorithm. Then in order to improve computing speed and save resources, this paper proposes a kind of hybrid CORDIC algorithm based on phase rotation estimation applied in numerical controlled oscillator (NCO). Through estimating the direction of part phase rotation, the algorithm reduces part phase rotation and add-subtract unit, so that it decreases delay. Furthermore, the paper simulates and implements the numerical controlled oscillator by Quartus II software and Modelsim software. Finally, simulation results indicate that the improvement over traditional CORDIC algorithm is achieved in terms of ease of computation, resource utilization, and computing speed/delay while maintaining the precision. It is suitable for high speed and precision digital modulation and demodulation.The numerical controlled oscillator has wide application in radar, digital receiver, and software radio system. Firstly, this paper introduces the traditional CORDIC algorithm. Then in order to improve computing speed and save resources, this paper proposes a kind of hybrid CORDIC algorithm based on phase rotation estimation applied in numerical controlled oscillator (NCO). Through estimating the direction of part phase rotation, the algorithm reduces part phase rotation and add-subtract unit, so that it decreases delay. Furthermore, the paper simulates and implements the numerical controlled oscillator by Quartus II software and Modelsim software. Finally, simulation results indicate that the improvement over traditional CORDIC algorithm is achieved in terms of ease of computation, resource utilization, and computing speed/delay while maintaining the precision. It is suitable for high speed and precision digital modulation and demodulation. |
| Audience | Academic |
| Author | Zhang, Chaozhu Li, Ke Han, Jinan |
| AuthorAffiliation | College of Information and Communication Engineering, Harbin Engineering University, Harbin 150001, China |
| AuthorAffiliation_xml | – name: College of Information and Communication Engineering, Harbin Engineering University, Harbin 150001, China |
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| BackLink | https://www.ncbi.nlm.nih.gov/pubmed/25110750$$D View this record in MEDLINE/PubMed |
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| CitedBy_id | crossref_primary_10_1063_1_4922794 |
| Cites_doi | 10.1109/TCSI.2012.2215778 10.1109/TCSII.2008.2002566 10.1109/78.127956 10.3969/j.issn.1001-506X.2010.05.007 10.1109/12.644295 10.1109/TCSII.2008.924376 10.1109/12.485569 10.1109/12.53594 10.1109/TEC.1959.5222693 10.1109/LSP.2013.2252616 10.1109/LSP.2003.821705 10.1109/TVLSI.2012.2187080 10.1109/TSP.2012.2214218 |
| ContentType | Journal Article |
| Copyright | Copyright © 2014 Chaozhu Zhang et al. COPYRIGHT 2014 John Wiley & Sons, Inc. Copyright © 2014 Chaozhu Zhang et al. Chaozhu Zhang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Copyright © 2014 Chaozhu Zhang et al. 2014 |
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| DOI | 10.1155/2014/897381 |
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| References_xml | – volume: 8 start-page: 330 issue: 3 year: 1959 end-page: 334 ident: 5 article-title: The CORDIC trigonometric computing technique – volume: 31 start-page: 2586 issue: 11 year: 2010 end-page: 2591 ident: 7 article-title: Implementation of a high-speed direct digital frequency synthesizer based on improved CORDIC algorithm – volume: 60 start-page: 6245 issue: 12 year: 2012 end-page: 6256 ident: 8 article-title: Fixed-point analysis and parameter selections of MSR-CORDIC with applications to FFT designs – volume: 60 start-page: 314 issue: 2 year: 2013 end-page: 326 ident: 9 article-title: Scale-free hyperbolic {CORDIC} processor and its application to waveform generation – volume: 33 start-page: 998 issue: 5 year: 2012 end-page: 1004 ident: 1 article-title: Study of NCO realization in parallel digital down anversion – volume: 36 start-page: 1144 issue: 6 year: 2008 end-page: 1148 ident: 15 article-title: Design of direct digital frequency synthesizer based on improved hybrid CORDIC algorithm – volume: 45 start-page: 307 issue: 3 year: 1996 end-page: 318 ident: 17 article-title: The differential CORDIC algorithm: constant scale factor redundant implementation without correcting iterations – volume: 55 start-page: 902 issue: 9 year: 2008 end-page: 906 ident: 19 article-title: New approach to scalable parallel and pipelined realization of repetitive multiple accumulations – volume: 39 start-page: 725 issue: 6 year: 1990 end-page: 740 ident: 18 article-title: Redundant and on-line CORDIC: application to matrix triangularization and SVD – reference: Yang X.-N. Lou Y.-C. Xu J.-L. Software Radio Technology and Application 2010 Beijing, China Beijing Institute of Technology Press – volume: 32 start-page: 908 issue: 5 year: 2010 end-page: 911 ident: 2 article-title: Design and implementation of NCO based on phase rotation – volume: 21 start-page: 217 issue: 2 year: 2013 end-page: 228 ident: 12 article-title: CORDIC designs for fixed angle of rotation – reference: Walther J. A unified algorithm for elementary functions 38 Proceedings of the Spring Joint Computer Conference 1971 379 385 – volume: 20 start-page: 483 issue: 5 year: 2013 end-page: 486 ident: 10 article-title: CORDIC based fast radix-2 DCT algorithm – volume: 39 start-page: 156 issue: 1 year: 2007 end-page: 159 ident: 4 article-title: Study on the efficient technology applied to high precision and high resolution storage in high speed NCO – volume: 55 start-page: 1139 issue: 11 year: 2008 end-page: 1143 ident: 11 article-title: Low latency angle recoding methods for the higher bit-width parallel CORDIC rotator implementations – volume: 40 start-page: 834 issue: 4 year: 1992 end-page: 844 ident: 16 article-title: The quantization effects of the CORDIC algorithm – volume: 46 start-page: 1202 issue: 11 year: 1997 end-page: 1207 ident: 13 article-title: Hybrid CORDIC algorithms – volume: 11 start-page: 152 issue: 2 year: 2004 end-page: 155 ident: 14 article-title: A memory-efficient and high-speed sine/cosine generator based on parallel CORDIC rotations – volume: 36 start-page: 1144 issue: 6 year: 2008 ident: 15 publication-title: Acta Electronica Sinica – ident: 9 doi: 10.1109/TCSI.2012.2215778 – ident: 11 doi: 10.1109/TCSII.2008.2002566 – volume: 33 start-page: 998 issue: 5 year: 2012 ident: 1 publication-title: Chinese Journal of Scientific Instrument – year: 2010 ident: 3 – ident: 16 doi: 10.1109/78.127956 – volume: 39 start-page: 156 issue: 1 year: 2007 ident: 4 publication-title: Journal of Sichuan University (Engineering Science Edition) – ident: 2 doi: 10.3969/j.issn.1001-506X.2010.05.007 – ident: 13 doi: 10.1109/12.644295 – ident: 19 doi: 10.1109/TCSII.2008.924376 – ident: 17 doi: 10.1109/12.485569 – ident: 18 doi: 10.1109/12.53594 – volume: 31 start-page: 2586 issue: 11 year: 2010 ident: 7 publication-title: Chinese Journal of Scientific Instrument – ident: 5 doi: 10.1109/TEC.1959.5222693 – ident: 10 doi: 10.1109/LSP.2013.2252616 – ident: 14 doi: 10.1109/LSP.2003.821705 – ident: 12 doi: 10.1109/TVLSI.2012.2187080 – ident: 8 doi: 10.1109/TSP.2012.2214218 |
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| Snippet | The numerical controlled oscillator has wide application in radar, digital receiver, and software radio system. Firstly, thispaper introduces the traditional... The numerical controlled oscillator has wide application in radar, digital receiver, and software radio system. Firstly, this paper introduces the traditional... The numerical controlled oscillator has wide application in radar, digital receiver, and software radio system. Firstly, this paper introduces the traditional... |
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| SubjectTerms | Accuracy Algorithms Architectural engineering Data processing Estimation theory Fourier transforms Models, Theoretical |
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| Title | Design and Implementation of Hybrid CORDIC Algorithm Based on Phase Rotation Estimation for NCO |
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