Commutative quaternion algebra and DSP fundamental properties: Quaternion convolution and Fourier transform
Artyom M. Grigoryan, Sos С. Agaian
Topics & Concepts
QuaternionConvolution (computer science)MathematicsMultiplication (music)Algebra over a fieldHypercomplex numberQuaternion algebraCommutative propertyConvolution theoremChinese remainder theoremDual quaternionFourier transformPure mathematicsArithmeticDivision algebraDiscrete mathematicsComputer scienceMathematical analysisAlgebra representationFourier analysisFractional Fourier transformArtificial neural networkGeometryCombinatoricsMachine learningDigital Filter Design and ImplementationMathematical Analysis and Transform MethodsImage and Signal Denoising Methods