| Paper: | SPTM-L5.3 | ||
| Session: | Signal Parameter Estimation | ||
| Time: | Wednesday, May 19, 16:10 - 16:30 | ||
| Presentation: | Lecture | ||
| Topic: | Signal Processing Theory and Methods: Detection, Estimation, and Class. Thry & Apps. | ||
| Title: | ESTIMATING FREQUENCIES OF TWO DIMENSIONAL HARMONICS WITH HYPERCOMPLEX | ||
| Authors: | Fei Wang; Jilin University | ||
| Shu-Xun Wang; Jilin University | |||
| Huijing Dou; Jilin University | |||
| Jing Li; Jilin University | |||
| Abstract: | The complex signal of two dimensional harmonics is common. And the pairing steps were always needed when we estimated the frequency pairs of harmonics which was described by complex signals. We introduced hypercomplex signal in this paper, and used it to study two dimensional harmonics. First, we constructed hypercomplex signal using the original two dimensional harmonics and its Hilbert transform. Then, we presented our algorithm of estimating frequencies of hypercomplex signal through taking advantage of the properties of Hamilton’s quaternion. Some simulations illustrated the prospect of using hypercomplex signal in estimating parameters of two dimensional harmonics without pairing steps. | ||
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