Ten lectures on wavelets
Wavelets: a tutorial in theory and applications
An introduction to wavelets
Reconstruction of bandlimited signals from irregular samples
Signal Processing
Matrix computations (3rd ed.)
Approximation from shift-invariant spaces by integral operators
SIAM Journal on Mathematical Analysis
Statistical Digital Signal Processing and Modeling
Statistical Digital Signal Processing and Modeling
Weighted sampling and signal reconstruction in spline subspaces
Signal Processing
Irregular sampling for spline wavelet subspaces
IEEE Transactions on Information Theory
On simple oversampled A/D conversion in shift-invariant spaces
IEEE Transactions on Information Theory
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Spectral estimation has important applications to microarray time series analysis. For unevenly sampled data, a common spectral estimation technique is to use the Lomb-Scargle algorithm. In this paper, we introduce a new reconstruction algorithm and singular spectrum analysis (SSA) method to deal with unevenly sampled microarray time series. The new reconstruction method is based on signal reconstruction technique in aliased shift-invariant signal spaces and a direct implemental algorithm is developed based on the B-spline basis. We experiments on simulated noisy signals and gene expression profiles show different effects for our designed three methods. The three methods are based on our presented reconstruction algorithm, SSA, classical FFT periodogram method and Lomb-Scargle periodogram method.