Proceedings ArticleDOI
Error analysis of LMS adaptive digital filter implemented with logarithmic number system
V. Shenoy,F. Taylor +1 more
- Vol. 9, pp 598-601
TLDR
This paper considers implementation of a least mean square adaptive digital filter algorithm using logarithmic number system (LNS), and Analytical expressions for error performance have been derived and design issues have been explored.Abstract:
This paper considers implementation of a least mean square (LMS) adaptive digital filter algorithm using logarithmic number system (LNS). Analytical expressions for error performance have been derived and design issues have been explored. Computer simulations have been performed to verify the derived expressions.read more
Citations
More filters
Journal ArticleDOI
A 20 bit logarithmic number system processor
TL;DR: The architecture and performance of a 20-bit arithmetic processor based on the logarithmic number system (LNS) is described and is shown to compare well with, if not to outperform, existing floating point (FLP) processors of equivalent range and precision.
Proceedings ArticleDOI
The logarithmic number system for strength reduction in adaptive filtering
TL;DR: For performing Givens rotations in the QR decomposition recursive least squares adaptive filter, logarithmic arithmetic is shown to compare favorably to other strength reduction techniques, such as CORDIC arithmetic, in terms of switched capacitance and numerical accuracy.
Dissertation
Comparison of logarithmic and floating-point number systems implemented on Xilinx Virtex-II field-programmable gate arrays
TL;DR: The results show that the LNS is beneficial for larger characteristics than 6-bits only for specialist applications that require a high portion of division, multiplication, square root, powering operations and few additions, and for larger characteristic lengths the floating-point system is more efficient.
Proceedings ArticleDOI
Logarithmic cost based adaptive control for wind-diesel microgrid
TL;DR: In this article, the least mean logarithmic square (LMLS) based control approach is used for the control of proposed microgrid, which provides reactive power compensation, PCC voltage regulation and harmonics suppression to provide sinusoidal voltage supply during nonlinear and unbalanced load conditions.
References
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Journal ArticleDOI
The Sign/Logarithm Number System
TL;DR: A signed logarithmic number system, which is capable of representing negative as well as positive numbers is described, and it is shown that negative numbers can be represented in the sign/logarithm number system.
Journal ArticleDOI
A roundoff error analysis of the LMS adaptive algorithm
C. Caraiscos,Bede Liu +1 more
TL;DR: In this article, the steady state output error of the least mean square (LMS) adaptive algorithm due to the finite precision arithmetic of a digital processor is analyzed and the relation between the quantization error and the error that occurs when adaptation possibly ceases due to quantization is also investigated.
Journal ArticleDOI
On the design of gradient algorithms for digitally implemented adaptive filters
TL;DR: The effect of digital implementation on the gradient (steepest descent) algorithm commonly used in the mean-square adaptive equalization of pulse-amplitude modulated data signals is considered and the optimum step-size sequence reflects a compromise between these competing goals.
Journal ArticleDOI
Error analysis of recursive digital filters implemented with logarithmic number systems
T. Kurokawa,J. Payne,S. Lee +2 more
TL;DR: The experimental results demonstrate that a logarithmic number system gives filtering performance superior to that of a floating-point system of equivalent word length and range, and that the limitation in implementing digital filters with logarathmic number systems is a function of the range of the numbers which may be represented.
Proceedings ArticleDOI
A round-off error analysis of the LMS adaptive algorithm
C. Caraiscos,Bede Liu +1 more
TL;DR: The steady state output error of the Least Mean Square (LMS) Adaptive Algorithm due to the finite precision arithmetic of a digital processor is analyzed and the relation between the quantization error and the error that occurs when adaptation possibly ceases due to quantization is investigated.
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Correction to "Adaptive Filtering Algorithms Designed Using Control Liapunov Functions"
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