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| Joint Diagonalization Algorithm for Harmonic Retrieval |
| Nie Wei-ke; Feng Da-zheng; Zhang Bin |
| National Key Laboratory for Radar Signal Processing, Xidian Univ., Xi’an 710071, China |
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Abstract In this paper, a set of eigen matrices are introduced which possess diagonal structure. A new iterative algorithm is proposed to implement the joint diagonalization of the eigen matrices, the harmonic retrieval can be accomplished by the diagonalization procedure. The new algorithm improves the cost function of the well-know ACDC algorithm, changes it from fourth function to a quadratic function. Each iteration step poseses a typical least square problem with a unique closed solution, hence there is no error propagation as the ACDC algorithm. Simulation results demonstrate it is a new reliable and faster algorithm which is particularly accurate in extremely low SNR.
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Received: 06 August 2007
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2009, Vol. 31 
