How does phase wrapping leads to unwanted high frequency spikes in the instantaneous frequency vs time curve of analytic signal ? Can anybody upload a research paper (journal or conference paper) to know more about this ?
Siddharth Kamila The phenomenon of phase wrapping happens when the phase of a signal wraps around from a maximum value (such as 2*pi radians) to a minimum value (such as 0 radians). Because the abrupt shift in phase might be read as a quick rise in frequency, this can result in undesirable high-frequency spikes in the analytic signal's instantaneous frequency curve.
Many research articles have been written about phase wrapping and its effect on the accuracy of instantaneous frequency estimates. Here's a document you might find useful:
N. E. Huang, Z. Shen, S. R. Long, M. C. Wu, H. H. Shih, Q. Zheng, N. C. Yen, C. C. Tung, and H. H. Liu, "The empirical mode decomposition and the Hilbert spectrum for non-linear and non-stationary time series analysis," Proc. R. Soc. Lond. A, vol. 454, no. 1971, pp. 903-995, 1998.
This paper describes an empirical mode decomposition (EMD) methodology, which is often used to analyze non-linear and non-stationary signals, such as those with phase wrapping. The EMD approach breaks down a signal into a series of intrinsic mode functions (IMFs), which are frequency-bandlimited oscillations that are basic and straightforward to examine. The IMFs may then be used to rebuild the original signal and estimate its instantaneous frequency without having to deal with the issues created by phase wrapping.
I hope you find this info useful. Please let me know if you have any queries or require any other support.
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