J. A. Gubner and W.-B. Chang, "Wavelet transforms for discrete-time periodic signals", Sig. Proc., vol. 42, pp. 167--180, 1995.  Home/Search   Document Details and Download   Summary   Related Articles

....finite matrix operations. The discrete Fourier transform (DFT) is the natural tool for the harmonic analysis in such spaces, in which the circular convolution operation plays a vital role. Recently, there has been interest in this problem which has lead to interesting and important works such as [1, 2]. However, our approach is distinct: in a sense, it is simpler and more independent of the well known theory in L 2 . 1. INTRODUCTION The great impact of the wavelet transform in signal and image processing is a consequence of the practical usefulness of the concepts, and of the power and ....

....using matrix operations. The discrete Fourier transform (DFT) is the natural tool for the harmonic analysis in such spaces, in which the circular convolution operation plays a vital role. Recently, there has been interest in this problem which has lead to interesting and important works such as [1, 2]. However, the approach followed in the present work is distinct. It does not mimic the well known L 2 theory; instead, it uses matrix theory as the main tool to obtain the conditions for perfect reconstruction. The ideas are quite simple and suitable to the finite dimensional setting. They also ....

J. A. Gubner and W.-B. Chang, "Wavelet transforms for discrete-time periodic signals", Sig. Proc., vol. 42, pp. 167--180, 1995.

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