Title :
An efficient approach for the harmonic retrieval problem via Haar wavelet transform
Author :
Chu, Yi ; Fang, Wen-Hsien
Author_Institution :
Dept. of Electron. Eng., Nat. Taiwan Inst. of Technol., Taipei, Taiwan
Abstract :
Modern subspace-based algorithms can offer high-resolution spectral estimates but with a cost of high computational complexity for the eigenvalue decomposition (EVD) involved. We propose a novel preprocessing scheme that can be used in conjunction with the subspace-based algorithms to alleviate the high amount of computations previously required. The main crux of the new scheme lies in a subband decomposition of the input data via the computationally efficient discrete-time Haar wavelet transform (HWT). Some simulation results are provided to justify the proposed approach.
Keywords :
computational complexity; discrete time systems; eigenvalues and eigenfunctions; harmonic analysis; signal resolution; spectral analysis; wavelet transforms; discrete-time Haar wavelet transform; eigenvalue decomposition; harmonic retrieval problem; high computational complexity; high-resolution spectral estimates; input data; preprocessing scheme; simulation results; subband decomposition; subspace-based algorithms; Computational complexity; Computational efficiency; Computational modeling; Demodulation; Discrete wavelet transforms; Eigenvalues and eigenfunctions; Frequency; Geophysics computing; Multiple signal classification; Wavelet transforms;
Journal_Title :
Signal Processing Letters, IEEE
