Time-Recursive IAA Spectral Estimation

被引:46
作者
Glentis, G. O. [1 ]
Jakobsson, A. [2 ]
机构
[1] Univ Peloponnese, Dept Sci & Technol Telecommun, Tripolis 22100, Greece
[2] Lund Univ, Dept Math Stat, SE-22100 Lund, Sweden
基金
瑞典研究理事会;
关键词
Adaptive spectral estimation; iterative adaptive approach (IAA); fast algorithms; ITERATIVE ADAPTIVE APPROACH; LEAST-SQUARES; APES; ALGORITHMS; CAPON;
D O I
10.1109/LSP.2010.2099113
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
This letter presents computationally efficient time-updating algorithms of the recent Iterative Adaptive Approach (IAA) spectral estimation technique. By exploiting the inherently low displacement rank, together with the development of suitable Gohberg-Semencul (GS) representations, and the use of data dependent trigonometric polynomials, the proposed time-recursive IAA algorithm offers a reduction of the necessary computational complexity with at least one order of magnitude. The resulting complexity can also be reduced further by allowing for approximate solutions. Numerical simulations together with theoretical complexity measures illustrate the achieved performance gain.
引用
收藏
页码:111 / 114
页数:4
相关论文
共 23 条
[11]  
Gohberg I.C., 1972, Mat. Issled., V7, P201
[12]   Spectral estimation of irregularly sampled exponentially decaying signals with applications to RF spectroscopy [J].
Gudmundson, Erik ;
Stoica, Petre ;
Li, Jian ;
Jakobsson, Andreas ;
Rowe, Michael D. ;
Smith, John A. S. ;
Ling, Jun .
JOURNAL OF MAGNETIC RESONANCE, 2010, 203 (01) :167-176
[13]   DISPLACEMENT STRUCTURE - THEORY AND APPLICATIONS [J].
KAILATH, T ;
SAYED, AH .
SIAM REVIEW, 1995, 37 (03) :297-386
[14]  
Ljung L., 1987, THEORY PRACTICE RECU
[15]  
Luenberger DG., 1969, Optimization by Vector Space Methods
[16]   Extension of the Capon's spectral estimator to time-frequency analysis and to the analysis of polynomial-phase signals [J].
Özgen, MT .
SIGNAL PROCESSING, 2003, 83 (03) :575-592
[17]   Iterative Adaptive Approaches to MIMO Radar Imaging [J].
Roberts, William ;
Stoica, Petre ;
Li, Jian ;
Yardibi, Tarik ;
Sadjadi, Firooz A. .
IEEE JOURNAL OF SELECTED TOPICS IN SIGNAL PROCESSING, 2010, 4 (01) :5-20
[18]   EFFICIENT COMPUTATION OF THE DFT WITH ONLY A SUBSET OF INPUT OR OUTPUT POINTS [J].
SORENSEN, HV ;
BURRUS, CS .
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 1993, 41 (03) :1184-1200
[19]  
Stoica P., 2005, Spectral analysis of signals, V452
[20]   Missing Data Recovery Via a Nonparametric Iterative Adaptive Approach [J].
Stoica, Petre ;
Li, Jian ;
Ling, Jun .
IEEE SIGNAL PROCESSING LETTERS, 2009, 16 (04) :241-244