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Optimal step-size mechanism for stochastic gradient algorithm applied to CDMA receiver in multipath fading channels

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4 Author(s)
Fang-Biau Ueng ; Dept. of Electr. Eng., Nat. Chung-Hsing Univ., Taichung, Taiwan ; Jui-Chi Chang ; Hsuan-Fu Wang ; Ming-Chang Chen

This paper investigates the optimal step-size mechanism for a stochastic gradient (SG) based direct sequence (DS-) code division multiple access (CDMA) receiver under the influence of the multiple access interference (MAI) and intersymbol interference (ISI) in multi-path environments by utilizing a simple stochastic model. The convergence of the derived optimal step-size sequence is verified analytically. The learning curve is applied to analyze and compare the speed of convergence and residual mean-squared error (MSE) for the fixed and time-varying step-size sequence methodologies. Simulations show that the receiver utilizes the derived optimal step-size sequence not only has faster convergent speed and smaller MSE, but also is robustly to different multi-path channels.

Published in:

Personal, Indoor and Mobile Radio Communications, 2009 IEEE 20th International Symposium on

Date of Conference:

13-16 Sept. 2009

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