Approximation of wide-sense stationary stochastic processes by Shannon sampling series
IEEE Transactions on Information Theory
Advances in Computational Mathematics
Recovery of the optimal approximation from samples in wavelet subspace
Digital Signal Processing
Hi-index | 754.90 |
From the Paley-Wiener 1/4-theorem, the finite energy signal f(t) can be reconstructed from its irregularly sampled values f(k+δκ) if f(t) is band-limited and supκ|δκ|<1/4. We consider the signals in wavelet subspaces and wish to recover the signals from its irregular samples by using scaling functions. Then the method of estimating the upper bound of supκ|δκ | such that the irregularly sampled signals can be recovered is very important. Following the work done by Liu and Walter (see J. Fourier Anal. Appl., vol.2, no.2, p.181-9, 1995), we present an algorithm which can estimate a proper upper bound of supκ |δκ|. Compared to Paley-Wiener 1/4-theorem, this theorem can relax the upper bound for sampling in some wavelet subspaces