Name
Title | ||
|---|---|---|
Extrapolation of signals using the method of alternating projections in fractional Fourier domains |
Abstract | ||
|---|---|---|
The need for extrapolation of signals in time domain or frequency domain often arises in many applications in the area of
signal and image processing. One of the approaches used for the extrapolation of the signals is the method of alternating
projections (MAP) in conventional Fourier domains (CFD). Here we propose an extension of this approach using the fractional
Fourier transform (FRFT) called here as the method of alternating projections in the FRFT domains (MAPFD). It is shown through
the simulation results that the mean square error (MSE) between the true signal and the extrapolated signal obtained from
the given signal is a function of the angle parameter of the FRFT, and the MAPFD gives lower MSE than the MAP in the CFD for
the class of signals bandlimited in the FRFT domains, e.g., chirp signals. Moreover, the performance of the extrapolation
using the MAPFD is shown to be shift-variant along the time axis. |
Year | DOI | Venue |
|---|---|---|
2008 | 10.1007/s11760-007-0047-y | Signal, Image and Video Processing |
Keywords | Field | DocType |
signal and image processing,mean square error,frequency domain,fractional fourier transform,time domain | Time domain,Frequency domain,Signal processing,Bandlimiting,Image processing,Algorithm,Fourier transform,Extrapolation,Fractional Fourier transform,Mathematics | Journal |
Volume | Issue | ISSN |
2 | 2 | 1863-1711 |
Citations | PageRank | References |
10 | 0.61 | 5 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| K. K. Sharma | 1 | 53 | 7.62 |
| Shiv Dutt Joshi | 2 | 99 | 13.93 |