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REAL-VALUED PERIODIC WAVELETS: CONSTRUCTION AND RELATION WITH FOURIER SERIES |
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| Authors: | Han-lin Chen |
| Abstract: | In this paper, we construct the real-valued periodic orthogonal wavelets. Themethod presented here is new. The decomposition and reconstruction formulas involve only 4 terms respectively. It demonstrates that the formulas are simpler thanthat in other kinds of periodic wavelets. Our wavelets are useful in applicationssince it is real valued. The relation between the periodic wavelets and the Fourierseries is also discussed. |
| Keywords: | Periodic wavelet Multiresolution Fourier series Linear independence. |
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