A simultaneous decomposition for three quaternion tensors with applications in color video signal processing
Zhuo‐Heng He, Chen Chen, Xiangxiang Wang
Abstract
In this paper, we establish a simultaneous decomposition for three quaternion tensors via Einstein product. This simultaneous decomposition transforms the given three quaternion tensors into nice forms which have only 1 and 0. We conclude with an application in the color video signal processing. This new approach only needs to store four keys to realize the simultaneous encryption and decryption of three videos.
Topics & Concepts
QuaternionDecompositionSIGNAL (programming language)Signal processingMathematicsComputer scienceDigital signal processingGeometryComputer hardwareProgramming languageEcologyBiologyTensor decomposition and applicationsAdvanced Data Compression TechniquesDigital Filter Design and Implementation