Research Article

Filtering in Time-Frequency Domain using STFrFT

by  Pragati Rana, Vaibhav Mishra, Rahul Pachauri
journal cover
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 69 - Issue 26
Published: May 2013
Authors: Pragati Rana, Vaibhav Mishra, Rahul Pachauri
10.5120/12133-8391
PDF

Pragati Rana, Vaibhav Mishra, Rahul Pachauri . Filtering in Time-Frequency Domain using STFrFT. International Journal of Computer Applications. 69, 26 (May 2013), 5-9. DOI=10.5120/12133-8391

                        @article{ 10.5120/12133-8391,
                        author  = { Pragati Rana,Vaibhav Mishra,Rahul Pachauri },
                        title   = { Filtering in Time-Frequency Domain using STFrFT },
                        journal = { International Journal of Computer Applications },
                        year    = { 2013 },
                        volume  = { 69 },
                        number  = { 26 },
                        pages   = { 5-9 },
                        doi     = { 10.5120/12133-8391 },
                        publisher = { Foundation of Computer Science (FCS), NY, USA }
                        }
                        %0 Journal Article
                        %D 2013
                        %A Pragati Rana
                        %A Vaibhav Mishra
                        %A Rahul Pachauri
                        %T Filtering in Time-Frequency Domain using STFrFT%T 
                        %J International Journal of Computer Applications
                        %V 69
                        %N 26
                        %P 5-9
                        %R 10.5120/12133-8391
                        %I Foundation of Computer Science (FCS), NY, USA
Abstract

The Fractional Fourier Transform is a generalized form of Fourier Transform, which can be interpreted as a rotation by angle ? in time-frequency plane or decomposition of signals in terms of chirps. However it fails in locating Fractional Fourier Domain Frequency contents. Short-time FRFT variants are suitable for analysis of multicomponent and non-linear chirp signals with improved time-frequency resolution. Short-Time FRFT is the simultaneous representation of, combination of the time and FRFD-frequency information. Filtering in the fractional domain separates the noise and the highly concentrated signal. Filtering results depict that the results in fractional domain give better results. The time-frequency representation in fractional domain is useful tool for various applications like filtering of chirp signals. Simulations are performed on MATLAB platform.

References
  • C. Capus and K. Brown, "Short-time fractional Fourier methods for the time-frequency representation of chirp signals," J. Acoust. Soc. Amer. ,vol. 113, no. 6, pp. 3253–3263, Jun. 2003.
  • L. Cohen. Time-frequency analysis [J]. IEEE Signal Processing, 1999, vol. 16,pp:22-28, January1987.
  • J. B. Wu, J. Chen, P. Zhong. Time frequency-based blind source separation technique for elimination of cross-terms in Wigner distribution [J]. Electronics Letters, vol. 39, pp:475-477, May 2003.
  • L. B. Almeida, "The fractional Fourier transform and time-frequency representations," IEEE Trans. Signal Process. , vol. 42, no. 11, pp. 3084–3091, Nov. 1994.
  • X. G. Xia, "On bandlimited signals with fractional Fourier transform," IEEE Signal Process. Lett. , vol. 3, pp. 72–74, Mar. 1996.
  • R. Tao, B. Deng, W. Q. Zhang, and Y. Wang, "Sampling and sampling rate conversion of band limited signals in the fractional Fourier transform domain," IEEE Trans. Signal Process. , vol. 56, no. 1, pp. 158–171, Jan. 2008.
  • Ran Tao, Yan –Lei Li and Yue Wang, "Short Time Fractional Fourier Transform and its Applications", IEEE Trans. Signal Process. , vol. 58, no. 05,pp 2568-2580, May 2010.
  • H. M. Ozaktas and OO. Aytur, "Fractional Fourier domains", Signal Process. , vol. 46, pp. 119-124, 1995.
Index Terms
Computer Science
Information Sciences
No index terms available.
Keywords

Tfd Stft Wvd Stfrft Frft

Powered by PhDFocusTM