Parametric Method Based PSD Estimation using Gaussian Window
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.