Extension of Traditional Frequency and Research on Time-Frequency Distribution

Article Preview

Abstract:

The concept of traditional frequency is extended and the concept of local frequency is proposed, which makes the physical meaning of frequency clearer. The wide adaptability of local frequency is also discussed. Moreover, a novel time-frequency analysis method is presented based on local frequency. The time-frequency distribution of continuous triangular wave signal is analyzed by the novel approach. Compared with wavelet transform and Hilbert-Huang transform (HHT), the results show that the concept of local frequency is correct and the novel time-frequency approach is effective.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

2089-2093

Citation:

Online since:

December 2010

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2011 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] Roberts M. J. Signals and Systems: Analysis Using Transform Methods and MATLAB [M], 1st Edition, McGraw-Hill, (2004).

Google Scholar

[2] Jonathan M. L, Sofia C. O. Bivariate Instantaneous Frequency and Bandwidth [J]. IEEE Transactions on Signal Processing, Volume 58(2), pp.591-603, (2010).

DOI: 10.1109/tsp.2009.2031729

Google Scholar

[3] Sharat Chikkerur, Venu Govindaraju, Alexander N. Cartright. Fingerprint Image Enhancement Using STFT Analysis, Pattern Recognition, Volume 40(1), pp.198-211, (2007).

DOI: 10.1016/j.patcog.2006.05.036

Google Scholar

[4] Cheol-Ki Kim, Hwa-Sei Lee, Do Hoon Lee. Non-stationary Movement Analysis Using Wavelet Transform, ICIC2006, Volume 345, pp.976-981, (2006).

Google Scholar

[5] John M. O, Mostefa M and Boualem B. A New Discrete Analytic Signal for Reducing Aliasing in the Discrete Wigner-Ville Distribution [J]. IEEE Transactions on Signal Processing, Volume 56(11), pp.5427-5434, (2008).

DOI: 10.1109/tsp.2008.929325

Google Scholar

[6] Xing. M, Wu. R. New ISAR Imaging Algorithm Based on Modified Wigner-Ville Distribution, IET Radar, Sonar and Navigation, Volume 3(1), pp.70-80, (2009).

DOI: 10.1049/iet-rsn:20080003

Google Scholar

[7] Laila D. S, Messina A. R and Pal B. C. A Refined Hilbert–Huang Transform with Applications to Interarea Oscillation Monitoring [J]. IEEE Transaction on Power Systems, Volume 24(2), pp.610-620, (2009).

DOI: 10.1109/tpwrs.2009.2016478

Google Scholar

[8] Len Smith, Rob J. Hyndman, Simon N. Wood. Spline Interpolation for Demographic Variables: the Monotonicity Problem, Journal of Population Research, Volume 21(1), pp.95-98, (2004).

DOI: 10.1007/bf03032212

Google Scholar