Statistical analysis of SMF algorithm for polynomial phase signals analysis

被引：0
|
作者：
Ferrari, A [1 ]
Alengrin, G [1 ]
机构：
[1] Univ Nice, UMR 6525 Astrophys, F-06108 Nice 2, France
来源：
PROCEEDINGS OF THE TENTH IEEE WORKSHOP ON STATISTICAL SIGNAL AND ARRAY PROCESSING | 2000年
关键词：
D O I：
10.1109/SSAP.2000.870127
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
The SMF algorithm is designed for the estimation of the coefficients of a constant amplitude polynomial phase signal. It relies on shift invariant signal moments with lower orders than the generalized ambiguity function (GAF) and it does not require maximization. The major contribution of the communication is the derivation of an analytic expression of the SMF error variance for high signal to noise ratios. This result proves the asymptotic efficiency of SMF when a dependency between the number of moments and the number of samples is introduced. Moreover, it underscores the superiority of SMF on GAF with an appropriate choice of the number of moments. Finally, the optimal parameters for order 3 and 4 polynomial phase signal estimation as a function of the signal length are provided.
引用
收藏
页码：276 / 280
页数：5
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