The wave packet transform (WPT) as applied to signal processing

Posch, T.E.

doi:10.1109/tftsa.1992.274216

Cited by 12 publications

(2 citation statements)

References 2 publications

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“…The wave packet transform (WPT) is an integral transform of a signal windowed with a wavelet dilated by any parameter a and translated by b. The WPT associated with integral transforms like Fourier transform, fractional Fourier transform etc., have been previously obtained [14,16,26]. Thus following in this similar manner, now we define the wave packet transform (WPT) associated with KL-transform for a function f ∈ L 2 (R + ; x −1 dx) as:…”

Section: Wave Packet Transform (Wpt) Associated To Kl-transformmentioning

confidence: 99%

Composition of wavelet transforms and wave packet transform involving Kontorovich-Lebedev transform

Mandal

Kumar

Prasad

2021

Filomat

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The main objective of this paper is to study the composition of continuous Kontorovich-Lebedev wavelet transform (KL-wavelet transform) and wave packet transform (WPT) based on the Kontorovich-Lebedev transform (KL-transform). Estimates for KL-wavelet and KL-wavelet transform are obtained, and Plancherel?s relation for composition of KL-wavelet transform and WPT-transform are derived. Reconstruction formula for WPT associated to KL-transform is also deduced and at the end Calderon?s formula related to KL-transform using its convolution property is obtained.

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Section: Wave Packet Transform (Wpt) Associated To Kl-transformmentioning

confidence: 99%

Composition of wavelet transforms and wave packet transform involving Kontorovich-Lebedev transform

Mandal

Kumar

Prasad

2021

Filomat

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“…The wavelet packet transform (WPT) [27][28][29][30] generalizes the discrete wavelet transform and provides a more flexible tool for the time-scale analysis of the data. All advantages of the wavelet transform are retained because the wavelet basis is in the repertoire of bases available with the wavelet packet transform.…”

Section: Wavelet Packet Transformmentioning

confidence: 99%

A New Image Fusion Technique Based on Directive Contrast

Bhatnagar

Raman

2009

ELCVIA

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For making an image, which is more suitable for segmentation, feature extraction, object recognition, and Human Visual System, image fusion is frequently used technique. It combines complimentary information from different images of the same scene in a single image. In this paper, a simple but efficient algorithm is presented for image fusion employed in wavelet packet domain. For fusion, all the source images are decomposed into low and high frequency sub-bands and then fusion of high frequency sub-bands is done by the means of Directive Contrast while for low frequency median values is used. To reconstruct the fused image, inverse wavelet packet transform is performed. The performance of the algorithm is carried out by the experimental evaluation and the comparison is carried out with the existing algorithms

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Further Quaternion Integral Transforms

Hitzer

2023

Trends in Mathematics

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The wave packet transform (WPT) as applied to signal processing

Cited by 12 publications

References 2 publications

Composition of wavelet transforms and wave packet transform involving Kontorovich-Lebedev transform

Composition of wavelet transforms and wave packet transform involving Kontorovich-Lebedev transform

A New Image Fusion Technique Based on Directive Contrast

Further Quaternion Integral Transforms

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