A New Discrete Wavelet Transform
نویسندگان
چکیده
The Discrete Wavelet Transform (DWT) has two parameters: the mother of wavelets and the number of iterations. Selecting different parameters for different DWT of the same signal, different energy concentrations in the wavelet domain are obtained. So, for a particular signal there is a better pair of parameters that realizes the best energy concentration in the wavelet transform domain. In applications is difficult to find this best pair of parameters. This is the reason why the aim of this paper is to introduce a new DWT less sensitive to the parameter selection. This transform is built using a technique very modern in telecommunications, the diversity enhancement. The diversity is enhanced in the wavelet transform domain computing different DWT, of the same signal, with different parameters. So, the input signal, represented by a vector, is transformed into a matrix. Each column of this matrix represents the DWT of the input signal, computed with a different pair of parameters. This matrix represents the result of the new discrete wavelet transform, named the Diversity Enhanced Discrete Wavelet Transform, (DEDWT). The new transform can be used with good results in denoising applications, especially for low SNR signals.
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