Name
Abstract | ||
|---|---|---|
Generalized analytic signal associated with the linear canonical transform (LCT) was proposed recently by Fu and Li [“Generalized Analytic Signal Associated With Linear Canonical Transform,” Opt. Commun., vol. 281, pp. 1468–1472, 2008]. However, most real signals, especially for baseband real signals, cannot be perfectly recovered from their generalized analytic signals. Therefore, in this paper, the conventional Hilbert transform (HT) and analytic signal associated with the LCT are concerned. To transform a real signal into the LCT of its HT, two integral transforms (i.e., the HT and LCT) are required. The goal of this paper is to simplify cascades of multiple integral transforms, which may be the HT, analytic signal, LCT or inverse LCT. The proposed transforms can reduce the complexity when realizing the relationships among the following six kinds of signals: a real signal, its HT and analytic signal, and the LCT of these three signals. Most importantly, all the proposed transforms are reversible and undistorted. Using the proposed transforms, several signal processing applications are discussed and show the advantages and flexibility over simply using the analytic signal or the LCT. |
Year | DOI | Venue |
|---|---|---|
2013 | 10.1109/TSP.2013.2273884 | IEEE Transactions on Signal Processing |
Keywords | Field | DocType |
undistortion,signal processing,baseband real signal,computational complexity reduction,linear canonical transform,analytic signal processing,distortion,numerical round-off error,fractional hilbert transform,inverse lct,integral transforms,reversible joint hilbert transform,ht,analytic signal,hilbert transform,generalized analytic signal,hilbert transforms | Signal processing,Baseband,Analytic signal,Multidimensional signal processing,Control theory,Mathematical analysis,Algorithm,Hilbert transform,Integral transform,Hilbert spectral analysis,Mathematics,Hilbert–Huang transform | Journal |
Volume | Issue | ISSN |
61 | 19 | IEEE Transactions on Signal Processing, Volume 61, Issue 19,
Oct.1, 2013 |
Citations | PageRank | References |
5 | 0.51 | 8 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Soo-Chang Pei | 1 | 449 | 46.82 |
| Shih-Gu Huang | 2 | 43 | 6.44 |