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  2. Wavelet - Wikipedia

    en.wikipedia.org/wiki/Wavelet

    This means that there has to exist an auxiliary function, the father wavelet φ in L 2 (R), and that a is an integer. A typical choice is a = 2 and b = 1. The most famous pair of father and mother wavelets is the Daubechies 4-tap wavelet. Note that not every orthonormal discrete wavelet basis can be associated to a multiresolution analysis; for ...

  3. Discrete wavelet transform - Wikipedia

    en.wikipedia.org/wiki/Discrete_wavelet_transform

    The filterbank implementation of wavelets can be interpreted as computing the wavelet coefficients of a discrete set of child wavelets for a given mother wavelet (). In the case of the discrete wavelet transform, the mother wavelet is shifted and scaled by powers of two

  4. Morlet wavelet - Wikipedia

    en.wikipedia.org/wiki/Morlet_wavelet

    The Morlet wavelet filtering process involves transforming the sensor's output signal into the frequency domain. By convolving the signal with the Morlet wavelet, which is a complex sinusoidal wave with a Gaussian envelope, the technique allows for the extraction of relevant frequency components from the signal.

  5. Daubechies wavelet - Wikipedia

    en.wikipedia.org/wiki/Daubechies_wavelet

    Daubechies orthogonal wavelets D2–D20 resp. db1–db10 are commonly used. Each wavelet has a number of zero moments or vanishing moments equal to half the number of coefficients. For example, D2 has one vanishing moment, D4 has two, etc. A vanishing moment limits the wavelets ability to represent polynomial behaviour or information in a ...

  6. Get lifestyle news, with the latest style articles, fashion news, recipes, home features, videos and much more for your daily life from AOL.

  7. 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 ...

  8. Continuous wavelet transform - Wikipedia

    en.wikipedia.org/wiki/Continuous_wavelet_transform

    In definition, the continuous wavelet transform is a convolution of the input data sequence with a set of functions generated by the mother wavelet. The convolution can be computed by using a fast Fourier transform (FFT) algorithm. Normally, the output (,) is a real valued function except when the mother wavelet is complex. A complex mother ...

  9. Denim & Soul - Wikipedia

    en.wikipedia.org/wiki/Denim_&_Soul

    Denim & Soul, formerly known as The Blues Jean Bar, is an American denim retailer, [1] [2] with locations in San Francisco, Santa Monica, San Jose, Mill Valley, Dallas, Denver, Boston, Chicago, [3] and New Orleans.

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