Fixed point error analysis of CORDIC processor based on the variance propagation

Park, Soo‐Jin; Cho, Nam Ik

doi:10.1109/icassp.2003.1202429

2003 IEEE International Conference on Acoustics, Speech, and Signal Processing, 2003. Proceedings. (ICASSP '03).

DOI: 10.1109/icassp.2003.1202429

|View full text |Cite

Fixed point error analysis of CORDIC processor based on the variance propagation

Soo‐Jin Park

Nam Ik Cho

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

Supporting

Mentioning

Contrasting

Publication Types

Select...

Other3

Relationship

Self Cite0

Independent3

Authors

Journals

Cited by 3 publications

References 9 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

Floating-point to fixed-point conversion with decision errors due to quantization

Shi¹,

Brodersen²

2004 IEEE International Conference on Acoustics, Speech, and Signal Processing

View full text Add to dashboard Cite

Most existing analyses of quantization effects are given under the condition that all decision-making blocks, if exist in a system, produce identical decisions in both fixed-point and infinite-precision (IP) implementations. However, in doing floating-point to fixed-point conversion (FFC), a fixed-point design with occasional decision errors may still be an acceptable approximation of the IP system. We study the effect of this decision error, and relate its probability to the fixed-point data types. Our previous FFC methodology is then extended to include systems with possible decision errors due to quantization. The extended approach is applied to both CORDIC and BPSK transceiver.

show abstract

Floating-point to fixed-point conversion with decision errors due to quantization

Shi¹,

Brodersen²

2004 IEEE International Conference on Acoustics, Speech, and Signal Processing

View full text Add to dashboard Cite

show abstract

Research on Uncertainty of CORDIC Algorithm

Yaohua²

2017

2017 4th International Conference on Information Science and Control Engineering (ICISCE)

View full text Add to dashboard Cite

A perturbation theory on statistical quantization effects in fixed-point DSP with non-stationary inputs

Shi

Brodersen

2004 IEEE International Symposium on Circuits and Systems (IEEE Cat. No.04CH37512)

View full text Add to dashboard Cite

A quantitative characterization of statistical quantization effects in a discrete-time digital system is derived as a function of fixed-point data types. The analysis is based on a perturbation theory approach which assumes the quantization noise is a small deviation from the ideal characteristics and that the system does not contain decision-error propagation. The theory works for both linear and nonlinear digital systems with either stationary or non-stationary inputs. The approach is applied to an LMS adaptive filter in both the transient and steady state periods.

show abstract

scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

Contact Info

customersupport@researchsolutions.com

10624 S. Eastern Ave., Ste. A-614

Henderson, NV 89052, USA

This site is protected by reCAPTCHA and the Google Privacy Policy and Terms of Service apply.

Blog Terms and Conditions API Terms Privacy Policy Contact Cookie Preferences Do Not Sell or Share My Personal Information

Made with 💙 for researchers

Part of the Research Solutions Family.

Fixed point error analysis of CORDIC processor based on the variance propagation

Cited by 3 publications

References 9 publications

Floating-point to fixed-point conversion with decision errors due to quantization

Floating-point to fixed-point conversion with decision errors due to quantization

Research on Uncertainty of CORDIC Algorithm

A perturbation theory on statistical quantization effects in fixed-point DSP with non-stationary inputs

Contact Info

Product

Resources

About