6 papers
FFT reconstruction of signals from MIMO sampled data
Dong Cheng, Xiaoxiao Hu, Kit Ian Kou
This paper introduces an innovative approach for signal reconstruction using data acquired through multi-input-multi-output (MIMO) sampling. First, we show that it is possible to p…
The Color Clifford Hardy Signal: Application to Color Edge Detection and Optical Flow
Xiaoxiao Hu, Kit Ian Kou, Cuiming Zou +1
This paper introduces the idea of the color Clifford Hardy signal, which can be used to process color images. As a complex analytic function's high-dimensional analogue, the color…
Convolution theorems associated with quaternion linear canonical transform and applications
Xiaoxiao Hu, Dong Cheng, Kit Ian Kou
Novel types of convolution operators for quaternion linear canonical transform (QLCT) are proposed. Type one and two are defined in the spatial and QLCT spectral domains, respectiv…
Signal reconstruction from noisy multichannel samples
Dong Cheng, Xiaoxiao Hu, Kit Ian Kou
We consider the signal reconstruction problem under the case of the signals sampled in the multichannel way and with the presence of noise. Observing that if the samples are inexac…
Quaternion Hardy Functions for Local Images Feature Representation
Xiaoxiao Hu, Kit Ian Kou, Yangxing Ting
This paper is concerned with the applications of local features of the quaternion Hardy function. The feature information can be provided by the polar form of the quaternion Hardy…
Quaternion Fourier and Linear Canonical Inversion Theorems
Xiao Xiao Hu, Kit Ian Kou
The Quaternion Fourier transform (QFT) is one of the key tools in studying color image processing. Indeed, a deep understanding of the QFT has created the color images to be transf…