balanced multiwavelets
时间: 2024-05-29 10:10:56 浏览: 13
Balanced multiwavelets are a type of multiwavelets that have a balance property, meaning that the number of vanishing moments is equal to the number of scaling coefficients. This property leads to a more efficient and accurate representation of signals and images, as it allows for a better trade-off between time and frequency resolution.
Balanced multiwavelets are characterized by a matrix-valued transfer function that satisfies certain conditions, such as symmetry and orthogonality. They can be constructed using a lifting scheme, which is a recursive algorithm that builds an orthogonal basis from a set of lifting steps.
The use of balanced multiwavelets has been shown to improve the performance of signal and image processing applications, such as denoising, compression, and feature extraction. They have also been applied in various fields, including medical imaging, radar signal processing, and audio signal processing.
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