Existing gap between theory and application of blind equalization

Zhi Ding; C. R. Johnson

doi:10.1117/12.49773

Abstract

The problem of blind equalization was thought to have been solved by some `globally convergent' blind equalizers. However, the established local convergence of some blind equalizers demonstrates the possibility of ill-convergence in the true equalizer parameter space by these supposedly ideal algorithms. In this paper, we analyze the reason why an algorithm globally convergent in the combined channel and equalizer parameter space can have undesirable local convergence in the true equalizer parameter space. We demonstrate that the existing results on global convergence are implicitly based on an idealistic assumption that the equalizer is infinitely parameterized with infinite output delay. We show that despite the engineering intuition that such results should carry over to the finitely parametrized case; in reality the theory breaks down and local minima are common place. Thus, while the theories proving global convergence are elegant and positive, the reality is that for realizable systems such convergence behavior may not materialize.

Citation Download Citation

Zhi Ding, C. R. Johnson, "Existing gap between theory and application of blind equalization", Proc. SPIE 1565, Adaptive Signal Processing, (1 December 1991); doi: 10.1117/12.49773; https://doi.org/10.1117/12.49773

ACCESS THE FULL ARTICLE

PERSONAL SIGN IN
Full access may be available with your subscription

Email or Username Forgot your username?

Password Forgot your password?

Show

Remember Email/Username on this computer

Remember Password

No SPIE account? Create an account
or Institutional Sign In via Shibboleth

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available

Members: $14.40

Non-members: $18.00 ADD TO CART

Show All Keywords

Keywords/Phrases

Search In:

Publication Years