Optimum equalization of multicarrier systems: A unified geometric approach

Navid Lashkarian, Sayfe Kiaei

Research output: Contribution to journalArticlepeer-review

11 Scopus citations


This paper presents a new iterative equalization algorithm that maximizes capacity for discrete multitone (DMT) systems. The research modifies a previously proposed criterion and applies an appropriate transformation to map the objective function and the constraint set into a canonical region. The resulting constraint set exhibits an identifiable geometric characteristic. Using the gradient projection method in conjunction with projection onto convex sets (POCS) provides us with an iterative search algorithm that facilitates the gradient descent method. We also generalize the approach to two important subclasses of equalizers, namely linear phase and unit tap filters. We also derive a fundamental limit on the performance of the proposed approach. In comparison with the previous methods, the proposed equalization algorithm is less computationally complex and more geometrically intuitive. Simulation experiments confirm the validity of the proposed method for equalization of DMT systems.

Original languageEnglish (US)
Pages (from-to)1762-1769
Number of pages8
JournalIEEE Transactions on Communications
Issue number10
StatePublished - Oct 2001


  • Capacity maximization
  • Convex optimization
  • Discrete multitone systems
  • Multicarrier systems
  • Optimum equalization
  • Projection onto convex set

ASJC Scopus subject areas

  • Electrical and Electronic Engineering


Dive into the research topics of 'Optimum equalization of multicarrier systems: A unified geometric approach'. Together they form a unique fingerprint.

Cite this