Name
Abstract | ||
|---|---|---|
Matrix-valued wavelet series expansions for wide-sense stationary processes are studied in this paper. The expansion coefficients a are uncorrelated matrix random process, which is a property similar to that of a matrix Karhunen-Loe`ve (MKL) expansion. Unlike the MKL expansion, however, the matrix wavelet expansion does not require the solution of the eigen equation. This expansion also has advantages over the Fourier series, which is often used as an approximation to the MKL expansion in that it completely eliminates correlation. The basis functions of this expansion can be obtained easily from wavelets of the Matrix-valued Lemarie´-Meyer type and the power-spectral density of the process. |
Year | DOI | Venue |
|---|---|---|
2004 | 10.1109/TSP.2004.823499 | IEEE Transactions on Signal Processing |
Keywords | Field | DocType |
wide-sense stationary process,wide-sense stationary random process,matrix-valued lemarie,meyer type,matrix-valued wavelet series expansion,basis function,matrix random process,mkl expansion,matrix karhunen-loe,matrix wavelet expansion,matrix-valued wavelet kl-like expansion,fourier series,power spectral density,fourier transforms,multiresolution analysis,wavelet transforms,multispectral imaging,indexing terms,signal processing,series expansion,random processes,random variables,random process,color,wide sense stationary | Matrix (mathematics),Mathematical analysis,Stationary process,Stochastic process,Multiresolution analysis,Fourier series,Basis function,Mathematics,Wavelet,Wavelet transform | Journal |
Volume | Issue | ISSN |
52 | 4 | 1053-587X |
Citations | PageRank | References |
4 | 0.71 | 7 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Ping Zhao | 1 | 48 | 8.60 |
| Guizhong Liu | 2 | 634 | 74.47 |
| Chun Zhao | 3 | 18 | 3.06 |