Analysis of Adaptive Beamforming Based on Convex Optimization

Abstract:

Most of the signal in the communication system have the cyclostationary property. Many algorithms based on the cyclostationary of the signal in the array signal processing have been exploited. They can well work without knowing the steering vector of interested signal, thus they all belong to the blind algorithms. When there is cycle frequency error, a mathematical analysis of gradient decent-based algorithm is provided in this paper. It pointed out that due to the zero point effect of the sinc function, the above approach have periodic deterioration as the number of snapshot increasing. Hence, in this paper a novel robust algorithm based on conjugate gradient, which can be used to extract signals with cyclostationarity with the cycle frequency error, is proposed. Because of its fast convergence, periodic nulls can be circumvented, and the steering vector of interested signal is estimated. Then we use traditional beamformer to avoid the influence of cycle frequency error. Simulation experiments show that our new algorithm performs well under cycle frequency mismatches.

• Periodical: Applied Mechanics and Materials (Volumes 651-653)
• Pages: 2262-2268
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.651-653.2262
• Online since: September 2014
• Authors: Qian Chen*, Kai Gu, Li Li Zhai
• Keywords: Beam, Convex Optimization, Robust GOD Algorithm, Self-Adaptive

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