Parametric Method Based PSD Estimation using Gaussian Window

  IJETT-book-cover  International Journal of Engineering Trends and Technology (IJETT)          
  
© 2015 by IJETT Journal
Volume-29 Number-1
Year of Publication : 2015
Authors : Pragati Sheel, Dr. Rajesh Mehra, Preeti Singh
DOI :  10.14445/22315381/IJETT-V29P204

Citation 

Pragati Sheel, Dr. Rajesh Mehra, Preeti Singh "Parametric Method Based PSD Estimation using Gaussian Window", International Journal of Engineering Trends and Technology (IJETT), V29(1),18-22 November 2015. ISSN:2231-5381. www.ijettjournal.org. published by seventh sense research group

Abstract
Non-parametric methods of Spectrum Estimation Such as Periodogram, Modified Periodogram, Welch, Bartlett and Blackman-Tukey are generally used but are not always efficient in finding out the power spectral densities. These methods lacks due to their limitations like windowing of the autocorrelation sequence, spectral leakage, poor resolution and incapability to include the available information about the process into the estimation procedure. In these cases parametric approach of spectrum estimation outperforms the nonparametric ones and helps in producing high resolution spectral estimates. Also, parametric methods are more accurate and computationally more efficient than the non-parametric methods. As Gaussian window is an important window in digital signal processing applications. So in the proposed work, Burg’s, Yule-Walker, Covariance and Modified Covariance methods are used to estimate the PSD of the Gaussian window function. The simulation is done in MATLAB and compared to analyze the power in different spectral components using different methods.

 References

[1] Lipika Gupta nd Rajesh Mehra, “Modified PSO based adaptive IIR filter design for system identification on FPGA,” International Journal of Computer Applications, Vol . 22, Issue 5, pp. 1-7, 2011.
[2] Kanu Priya and Rajesh Mehra, “Area efficient design of FIR filter using Symmetric Structure,” International Journal of Advanced Research in Computer and communication Engineering, Vol. 1, Issue 10, pp. 122-129,2012.
[3] Rajesh Mehra and Swapna Devi, “FPGA implementation of high speed pulse shaping filter for SDR applications,” Recent trends in Networks and Communications, Vol. 90, pp. 214- 222, July 2010.
[4] J.G. proakis, J.G Manolakis, “Digital signal processing principles, Algorithms, and applications,” printiceHall,4th edition, Inc.2002.
[5] Ifeachor, Emmanuel C. and Barrie W. Jervis, “Digital Signal Processing: a practical approach,” Pearson Education, 2002.
[6] Frida Eng, Fredrik Gunnassio and Fredrik Gustafsson,“Frequency domain analysis of signals with stochastic sampling times,” IEEE Transaction on signal processing,Vol. 56, No.7, July 2008.
[7] Sudeshna pal, Soosan Beheshti, “A New look at frequency resolution in power spectrum estimation,” proceedings of IEEE Symposium on Computational Intelligence in image and Signal Processing(CIISP), pp. 88-94, 2007.
[8] P.Hall and Y.Yin “Non uniform sequential sampling for signal anaslysis,” IEEE Transaction on Information Theory, Vol.50,No.9, September 2004.
[9] Rajesh Mehra and Swapna Devi, “Area efficient cost and effective pulse shaping filter for software radios,” International Journal of Ad hoc, sensor & ubiquitous computing, Vol. 1, No. 3, pp. 85-91, September 2010.
[10] Rajesh Mehra and Rashmi Arora, “FPGA-based design of high speed CIC decimator for wireless applications,” International Journal of Advanced computer Science and applications, Vol. 2, Issue 5, pp. 59-62,2011.
[11] S. Beheshti, S. Pal “Optimum segmentation and windowing in nonparametric power spectral density estimation,” 15th International Conference on Digital Signal Processing, pp. 379-382, July 2007.
[12] S. Beheshti, M.A. Dahleh, “A new information theorectic approach to signal denoising and best basis selection,” IEEE Trans. on Signal Processing, Vol. 53, No. 10, pp. 3613-3624, October 2005.
[13] S. Beheshti, “A new approach to order selection and parametric spectrum estimation,” IEEE Proceeding, ICASSP, Vol. 3, pp. 520-523, May 2006.
[14] S. Pal and S. Beheshti, “A new look at frequency resolution in power spectral density estimation,” IEEE Proceedings, CIISP, pp. 88-94, April 2007.
[15] Steven M.Kay,"Modern spectral estimation, theory and application," printice Hall,pp.222-228,1st edition, Inc.1988.

Keywords
Parametric Methods, PSD, Burg’s method, Yule Walker method, Covariance method, Modified Covariance method.