Instantaneous phase and frequency derived without user-defined parameters

2-D phase unwrapping and instantaneous frequency estimation

Instantaneous Frequency Analysis

This paper investigated the use of instantaneous frequency (IF) instead of power amplitude and power spectrum in side-channel analysis. By opposition to the constant frequency used in Fourier Transform, instantaneous frequency reflects local phase differences and allows detecting frequency variations. These variations reflect the processed binary data and are hence cryptanalytically useful. IF ...

On Instantaneous Frequency

Instantaneous frequency (IF) is necessary for understanding the detailed mechanisms for nonlinear and nonstationary processes. Historically, IF was computed from analytic signal (AS) through the Hilbert transform. This paper offers an overview of the difficulties involved in using AS, and two new methods to overcome the difficulties for computing IF. The first approach is to compute the quadrat...

Generalized instantaneous parameters and window matching in the time-frequency plane

In this paper, the concept of instantaneous parameters, which has previously been associated exclusively with 1-D measures like the instantaneous frequency and the group delay, are extended to the 2-D time-frequency plane. Such generalized instantaneous parameters are associated with the shorttime Fourier transform. They may also be interpreted as local moments of certain time-frequency distrib...

Algorithms for estimating instantaneous frequency

Three algorithms to estimate instantaneous frequency of a frequency-modulated signal is discussed. These algorithms are 7 based on Hilbert transform, Haar wavelet, and generalized pencil of function (GPOF) methods. While GPOF-based frequency detection method appears to be least sensitive to noise, wavelet-based method is easiest to implement. The latter method is 9 also computationally more e c...