Title
A steady-state Kalman predictor-based filtering strategy for non-overlapping sub-band spectral estimation.
Abstract
This paper focuses on suppressing spectral overlap for sub-band spectral estimation, with which we can greatly decrease the computational complexity of existing spectral estimation algorithms, such as nonlinear least squares spectral analysis and non-quadratic regularized sparse representation. Firstly, our study shows that the nominal ability of the high-order analysis filter to suppress spectral overlap is greatly weakened when filtering a finite-length sequence, because many meaningless zeros are used as samples in convolution operations. Next, an extrapolation-based filtering strategy is proposed to produce a series of estimates as the substitutions of the zeros and to recover the suppression ability. Meanwhile, a steady-state Kalman predictor is applied to perform a linearly-optimal extrapolation. Finally, several typical methods for spectral analysis are applied to demonstrate the effectiveness of the proposed strategy.
Year
DOI
Venue
2015
10.3390/s150100110
SENSORS
Keywords
Field
DocType
AR model,equiripple FIR filter,linear prediction,spectral estimation,spectral overlap,sub-band decomposition
Autoregressive model,Spectral density estimation,Mathematical optimization,Maximum entropy spectral estimation,Filter (signal processing),Algorithm,Kalman filter,Linear prediction,Electronic engineering,Extrapolation,Non-linear least squares,Engineering
Journal
Volume
Issue
ISSN
15
1.0
1424-8220
Citations 
PageRank 
References 
1
0.36
16
Authors
4
Name
Order
Citations
PageRank
Zenghui Li110.70
Bin Xu213323.23
Jian Yang348364.80
Jianshe Song410.36