Extrapolation of signals using the method of alternating projections in fractional Fourier domains

Signal, Image and Video Processing

Volumn 2, Issue 2, 2008, Pages 177-182

  Sharma, K K ^a   Joshi, S D ^b  

^a MALAVIYA NATIONAL INSTITUTE OF TECHNOLOGY   (India)

^b INDIAN INSTITUTE OF TECHNOLOGY DELHI   (India)

Author keywords

Fractional Fourier transform; Method of alternating projections

Indexed keywords

DIGITAL SIGNAL PROCESSING; EXTRAPOLATION; FOURIER OPTICS; IMAGE PROCESSING; MEAN SQUARE ERROR; MINES; STRAIN ENERGY;

ALTERNATING PROJECTIONS; CHIRP SIGNALS; DO-MAINS; FOURIER DOMAINS; FRACTIONAL FOURIER DOMAINS; FRACTIONAL FOURIER TRANSFORM; FRACTIONAL FOURIER TRANSFORMS; FREQUENCY DOMAINS; MEAN SQUARES; METHOD OF ALTERNATING PROJECTIONS; SIMULATION RESULTS; TIME AXIS; TIME DOMAINS;

FOURIER TRANSFORMS;

EID: 56749170311     PISSN: 18631703     EISSN: 18631711     Source Type: Journal    
DOI: 10.1007/s11760-007-0047-y     Document Type: Article

References (14)

1. Jain A.K. (2002). Fundamentals of Digital Image processing. Prentice Hall of India, New Delhi
2. Castleman K.R. (1996). Digital Image Processing. Prentice Hall, Englewood Cliffs
3. A.E. Cetin H. Ozaktas H.M. Ozaktas 2003 Resolution enhancement of low resolution wavefields with POCS algorithm Elect. Lett. 39 25 1808 1810
4. D. Rajan S. Choudhary 2001 Generalized interpolation and its application in super-resolution imaging Image Vis. Comput. 19 957 969
5. Marks II R.J. (1993). Advanced Topics in Shannon Sampling and Interpolation Theory. Springer, New York
6. X.-G. Xia 1996 On bandlimited signals with fractional Fourier transform IEEE Signal Proc. Lett. 3 3 72 74
7. Ozaktas H.M., Zalevsky Z. and Kutay M.A. (2001). The Fractional Fourier Transform with Applications in Optics and Signal Processing. Wiley, Chichester
8. S.-C. Pei M.-H. Yeh T.-L. Luo 1999 Fractional Fourier series expansion for finite signals and dual extension to discrete-time fractional Fourier transform IEEE Trans. Signal Proc. 47 10 2883 2888
9. V. Namias 1980 The fractional Fourier transform and its application to quantum mechanics J. Inst. Math Appl. 25 241 265
10. L.B. Almeida 1994 The fractional Fourier transform and time-frequency representations IEEE Trans. Signal Proc. 42 3084 3091
11. A.I. Zayed 1998 A convolution and product theorem for the fractional Fourier transform IEEE Signal Proc. Lett. 5 4 101 103
12. H.M. Ozaktas B. Barshan 1994 Convolution, filtering, and multiplexing in fractional Fourier domains and their relationship to chirp and wavelet transforms J. Opt. Soc. Am. A 11 547 559
13. S.Y. Lee H.H. Szu 1994 Fractional Fourier transforms, wavelet transform, and adaptive neural network Opt. Eng. 33 2326 2330
14. L.B. Almeida 1997 Product and convolution theorems for the fractional Fourier transform IEEE Signal Proc. Lett. 4 1 15 17