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Title: Accomplishment of fractional fourier transform by culmination of identities and applications
Researcher: Singh, Ashutosh Kumar
Guide(s): Saxena, Rajiv
Keywords: Fractional Fourier Transform
Mobile Communication
Dual Domain Transform
Integral Transform
Upload Date: 6-Jun-2013
University: Jaypee University of Engineering and Technology, Guna
Completed Date: 11/07/2011
Abstract: In mobile communication, normally communication is intended to establish between the transmitter and receiver under the scenario where the transmitter / receiver or both having their respective movements, the consequence of the relative motion of receiver is to introduce a Doppler shift in the received frequency which in turn making the frequency components received as time-variant. This nonstationary behavior of the signal enforced the analysis of the signal to be performed in time-frequency plane. The fractional Fourier transform (FRFT), which is also known as generalization of Fourier transform (FT), has been established as a better mathematical tool to tackle this state of affair of the signal. The efficacy of the FRFT, as a transforming tool, is also investigated in 2-dimensional signal processing applications viz., encryption and watermarking. In both the cases of encryption and watermarking, the FRFT provides two more number of security options per FRFT block which can be used as decryption keys. Actually, these keys are generated in terms of the transformation order related with the column wise and row wise transformation and this beneficial feature can be originated only with the FRFT. Thus, the FRFT proved to be a better technique, in terms of the greater number of keys offered by this method, in context to the Fourier transform. Finally, this study succeeded in pushing the FRFT towards a complete and perfect Integral Transform.
Pagination: 143p.
Appears in Departments:Department of Electronics and Communication

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10. chapter-1.pdfAttached File267.63 kBAdobe PDFView/Open
11. chapter-2.pdf461.19 kBAdobe PDFView/Open
12. chapter 3.pdf607.85 kBAdobe PDFView/Open
13. chapter -4.pdf665.53 kBAdobe PDFView/Open
14. chapter 5.pdf587.96 kBAdobe PDFView/Open
15. chapter 6.pdf3.08 MBAdobe PDFView/Open
16. chapter-7.pdf40.66 kBAdobe PDFView/Open
17. conclusion .pdf26.77 kBAdobe PDFView/Open
18. bibliography .pdf63.58 kBAdobe PDFView/Open
19. list of publication .pdf11.38 kBAdobe PDFView/Open
1. title page .pdf61.17 kBAdobe PDFView/Open
2. certificate .pdf65.01 kBAdobe PDFView/Open
3. abstract.pdf14.96 kBAdobe PDFView/Open
4. decelaration.pdf7.47 kBAdobe PDFView/Open
5. acknowledgement pdf.pdf9.42 kBAdobe PDFView/Open
6. content.pdf23.94 kBAdobe PDFView/Open
7. list of tables.pdf8.29 kBAdobe PDFView/Open
8. list of figures.pdf33.26 kBAdobe PDFView/Open
9. abbreviations.pdf12.68 kBAdobe PDFView/Open

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