Quantization effects in the complex LMS adaptive algorithm-linearization using dither-applications
暂无分享,去创建一个
The use of dither to linearize the gradient quantizer in a digitally implemented LMS adaptive algorithm is described. In a previous paper by the authors (see ibid., vol.CAS-34, no.7, p.848-54, 1987), a theoretical model for the performance of the system was presented. Now the theory is applied to the design of dither which prevents algorithm stalling yet does not significantly effect the steady-state mean square error of the algorithm. It is demonstrated that the contribution of dither to steady-state mean square error is negligible compared to the contribution of quantization noise when the dither vector has a high-pass temporal spectrum. >
[1] N. J. Bershad,et al. The Complex LMS Adaptive algorithm, a New Result for Transient Mean Square Error , 1985, Nineteeth Asilomar Conference on Circuits, Systems and Computers, 1985..
[2] N. Bershad,et al. Quantization effects in the complex LMS adaptive algorithm: Linearization using dither-theory , 1987 .
[3] Gerhard Zielke,et al. Inversion of Modified Symmetric Matrices , 1968, JACM.