Discrete Wavelet Transforms - Algorithms and Applications 2011
DOI: 10.5772/15936
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Discrete Wavelet Multitone Modulation for ADSL & Equalization Techniques

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(2 citation statements)
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“…Following the decomposition process, the original signal S can be reconstructed in the following manner: 𝑆(𝑑) = π‘Ž 1 + 𝑑 1 = (π‘Ž 2 + 𝑑 2 ) + 𝑑 1 = (π‘Ž 3 + 𝑑 3 ) + 𝑑 2 + 𝑑 1 (10) or more generally, 𝑆(𝑑) = π‘Ž 𝑛 + 𝑑 𝑛 + 𝑑 (π‘›βˆ’1) + β‹― 𝑑 2 + 𝑑 1 (11) There are many types of wavelets, such as Haar, Daubechies, Symlet, etc. Proper selection of the mother wavelet type and the number of decomposition levels is crucial prior to applying the DWT [16].…”
Section: Discrete Wavelet Transformmentioning
confidence: 99%
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“…Following the decomposition process, the original signal S can be reconstructed in the following manner: 𝑆(𝑑) = π‘Ž 1 + 𝑑 1 = (π‘Ž 2 + 𝑑 2 ) + 𝑑 1 = (π‘Ž 3 + 𝑑 3 ) + 𝑑 2 + 𝑑 1 (10) or more generally, 𝑆(𝑑) = π‘Ž 𝑛 + 𝑑 𝑛 + 𝑑 (π‘›βˆ’1) + β‹― 𝑑 2 + 𝑑 1 (11) There are many types of wavelets, such as Haar, Daubechies, Symlet, etc. Proper selection of the mother wavelet type and the number of decomposition levels is crucial prior to applying the DWT [16].…”
Section: Discrete Wavelet Transformmentioning
confidence: 99%
“…The discrete wavelet transform (DWT) algorithm is well-established in various signal processing research areas because it provides a time-frequency representation for non-stationary time-varying signals [10]. The Discrete Wavelet Transform (DWT) was implemented to solve the resolution problem associated with the Short-Time Fourier Transform (STFT)'s fixed window size.…”
Section: Introductionmentioning
confidence: 99%