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  2. Wavelet coefficients can be computed by passing the signal to be decomposed though a series of filters. In the case of 1-D, there are two filters at every level-one low pass for approximation and one high pass for the details.

  3. Discrete wavelet transform - Wikipedia

    en.wikipedia.org/wiki/Discrete_wavelet_transform

    An example of computing the discrete Haar wavelet coefficients for a sound signal of someone saying "I Love Wavelets." The original waveform is shown in blue in the upper left, and the wavelet coefficients are shown in black in the upper right. Along the bottom are shown three zoomed-in regions of the wavelet coefficients for different ranges.

  4. Wavelet packet decomposition - Wikipedia

    en.wikipedia.org/wiki/Wavelet_packet_decomposition

    In the DWT, each level is calculated by passing only the previous wavelet approximation coefficients (cA j) through discrete-time low- and high-pass quadrature mirror filters. [1] [2] However, in the WPD, both the detail (cD j (in the 1-D case), cH j, cV j, cD j (in the 2-D case)) and approximation coefficients are decomposed to create the full ...

  5. Wavelet - Wikipedia

    en.wikipedia.org/wiki/Wavelet

    Discrete wavelet transform (continuous in time) of a discrete-time (sampled) signal by using discrete-time filterbanks of dyadic (octave band) configuration is a wavelet approximation to that signal. The coefficients of such a filter bank are called the shift and scaling coefficients in wavelets nomenclature.

  6. Daubechies wavelet - Wikipedia

    en.wikipedia.org/wiki/Daubechies_wavelet

    Daubechies wavelet approximation can be used to analyze Griffith crack behavior in nonlocal magneto-elastic horizontally shear (SH) wave propagation within a finite-thickness, infinitely long homogeneous isotropic strip. [10] Daubechies wavelet cepstral coefficients can be useful in the context of Parkinson's disease detection.

  7. Coiflet - Wikipedia

    en.wikipedia.org/wiki/Coiflet

    Both the scaling function (low-pass filter) and the wavelet function (high-pass filter) must be normalised by a factor /. Below are the coefficients for the scaling functions for C6–30. The wavelet coefficients are derived by reversing the order of the scaling function coefficients and then reversing the sign of every second one (i.e. C6 ...

  8. Haar wavelet - Wikipedia

    en.wikipedia.org/wiki/Haar_wavelet

    The Haar wavelet. In mathematics, the Haar wavelet is a sequence of rescaled "square-shaped" functions which together form a wavelet family or basis. Wavelet analysis is similar to Fourier analysis in that it allows a target function over an interval to be represented in terms of an orthonormal basis. The Haar sequence is now recognised as the ...

  9. List of wavelet-related transforms - Wikipedia

    en.wikipedia.org/wiki/List_of_wavelet-related...

    Fast wavelet transform (FWT) Complex wavelet transform; Non or undecimated wavelet transform, the downsampling is omitted; Newland transform, an orthonormal basis of wavelets is formed from appropriately constructed top-hat filters in frequency space; Wavelet packet decomposition (WPD), detail coefficients are decomposed and a variable tree can ...