Performance analysis of Godard-based blind channel identification

Proof Details for “ Performance Analysis of Godard - Based Blind Channel Identification ” †

Convergence and performance analysis of Godard family of blind equalization algorithms

We obtain the convergence of the Godard family (including SATO and CM algorithms) in a unified way. Our assumptions are quite realistic: the channel input can be asymptotically stationary and ergodic, the channel impulse response is finite and can be stationary, ergodic (this models fading channels) and the equalizer length is finite. The noise is i.i.d. The channel input can be discrete or con...

Performance Comparison of Blind Equalization Algorithms for Wireless Communication

Adaptive equalization is an accepted method to mitigate the Inter-Symbol Interference (ISI) in wireless communication. Frequently, adaptive algorithm must needs transmission of well-known training sequence to track the time varying characteristics of the channel and hence make the most of superfluous bandwidth. It is also not viable to have training sequences in all types of transmissions (e. g...

Blind Channel Equalization with Amplitude Banded Godard and Sato Algorithms

The least-mean-squares (LMS) algorithm which updates the filter coefficients by a stochastic gradient descent approach is the most popular adaptive filtering one. In this paper we propose a novel amplitude banded (AB) technique with LMS on Godard (ABGodard) and Sato (ABSato) algorithms for the equalization of communication channels. The non-linear properties of the AB technique with LMS algorit...

On the equivalence between the Godard and Shalvi-Weinstein schemes of blind equalization

Certain equivalences between the Godard and Shalvi—Weinstein schemes have been previously noted under special circumstances. We present here a simple proof for real signals that an equivalence can be established assuming little more than stationarity to fourth order of the equalizer input; the exact nature of the input sequence proves otherwise irrelevant to the validity of the equivalence. The...