Logarithmic quantization in the least mean squares algorithm

Authors:
Mansour A. Aldajani
Affiliations:
Systems Engineering Department, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia
Venue:
Digital Signal Processing
Year:
2008

Citing 3
Cited 3

Theory and design of adaptive filters

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The Log-Log LMS Algorithm

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Abstract

In this paper, we introduce a framework for adaptive filtering techniques with simplified recursion. The simplification is mainly carried out by rounding the full-precision error information of the recursion to their closest power-of-two values. A new method for power-of-two quantization is proposed in this study. The method uses companded delta modulation structure to perform the quantization. The proposed structure shows a performance that is comparable to that of full precision adaptive filters. Convergence analysis of this structure is included and closed-form expressions for the error statistics are derived. Furthermore, an efficient method for implementing the new structure is presented where only simple shift and loop operations are required.