Stationary points of a kurtosis maximization algorithm for blindsignal separation and antenna beamforming

  • Authors:
  • Zhi Ding;Tuan Nguyen

  • Affiliations:
  • Dept. of Electr. & Comput. Eng., Iowa Univ., Iowa City, IA;-

  • Venue:
  • IEEE Transactions on Signal Processing
  • Year:
  • 2000

Quantified Score

Hi-index 35.69

Visualization

Abstract

Blind source separation has been the subject of extensive research. In particular, blind antenna beamforming is an effective signal separation technique for communication systems to combat co-channel interference. Among many potential candidate approaches, the simple constant modulus algorithm (CMA) has been widely studied and used in practice. The CMA is designed to capture and separate signals with negative kurtosis. However, when some signals have positive kurtoses, the CMA is unable to capture and separate these sources. We show that the kurtosis maximum algorithm (KMA) can capture signals with both the positive and negative kurtoses. Its global convergence proof is presented for noiseless systems with multiple signals sources and for systems with a single source and zero-kurtosis (such as Gaussian) additive noise