Title :
Two-dimensional harmonic retrieval in Gaussian noise based on hypercomplex
Author :
Wu, Yonggui ; Wang, Shuxun ; Wang, Fei
Author_Institution :
Inst. of Commun. Eng., Jilin Univ., Changchun, China
Abstract :
The complex signal of two dimensional harmonics is common. The pairing steps are always needed when we estimated the frequency pairs of harmonics which is described by complex signals. First we construct the quaternion signal model through the separated signal and its Hilbert transform. Then we define the corresponding four-order cumulant to restrain the additive Gauss noise and extract the frequency. Some simulations prove the correctness of the algorithm in this paper.
Keywords :
Gaussian noise; Hilbert transforms; frequency estimation; multidimensional signal processing; Hilbert transform; additive Gaussian noise; four-order cumulant; frequency estimation; hypercomplex; quaternion signal model; two-dimensional harmonic retrieval; Additive noise; Colored noise; Frequency estimation; Gaussian noise; Image processing; Quaternions; Radar applications; Sonar applications; Two dimensional displays; White noise;
Conference_Titel :
Communications and Information Technology, 2005. ISCIT 2005. IEEE International Symposium on
Print_ISBN :
0-7803-9538-7
DOI :
10.1109/ISCIT.2005.1567138
