Sentence examples for using the biorthogonal wavelet from inspiring English sources

Figure 1 DWT framework: analysis and synthesis using the biorthogonal wavelet.

For the wavelet modulation basis, we can also study the PAPR by using several types of wavelets, such as the Daubechies wavelets, the Haar wavelet and the biorthogonal wavelet [15].

The linear independence of the shifts of a pseudo spline is a necessary and sufficient condition for the construction of the biorthogonal wavelet system.

Two design examples illustrate that the biorthogonal wavelet bases designed by the proposed scheme are very close to Hilbert transform pairs.

As a result, the biorthogonal wavelets are usually suggested to be used, for example, JPEG2000 standard.

The biorthogonal wavelets are a general form of Riesz wavelets.

By verifying the condition of the biorthogonal wavelets in Theorem 4.2, we can get that the corresponding biorthogonal wavelets ψ have six vanishing moments from a given smoothed pseudo spline (phi_{6,2,1}).

As a generalization of orthogonal wavelets, the biorthogonal wavelets have become a fundamental tool in many areas of applied mathematics, from signal processing to numerical analysis [1 8].

With Lemma 4.1 and Corollary 4.1, we prove the following result on the biorthogonal wavelets infinite masks from smoothed pseudo splines.

The low-pass output of first level DWT are shown in Figure2b using biorthogonal wavelet "bior3.9" (the analysis and synthesis filters are 20- and 4-tap, respectively).

Step 8: The residual error is down-sampled by two using cubic spline interpolation technique and three-level discrete wavelet transform using Biorthogonal wavelet (Bior 4.4) is applied to the down-sampled residual signal.