Optimal Window Length and Performance Analysis of FEDS Based Adaptive Beam Forming Approach over Rayleigh Fading Channel

Abstract

To the best of my knowledge, the concept of the Fast Euclidean Direction Search (FEDS) for the wireless communication systems has not been fully exploited and only a few researchers who are working on this topic. This paper deals with study and analysis overall FEDS approach performance and try to find its optimal window length (L) for adaptive beam forming applications. The channel used is a Rayleigh fading model with Jake's power spectral density, which is a popular choice for wireless communications systems. This channel model has Doppler frequency and the user's mobility parameters. The current investigation may be extended to include other adaptive algorithms such as Least Mean Square (LMS), Normalized LMS (NLMS), and Recursive Least Square (RLS) algorithms. Performance enhancement of FEDS approach can be obtained when the optimum window length (L) is a carefully selected and its value is related to or depends on the number of array elements (M) whether the channel is AWGN or Rayleigh fading models.