Characterization of analytic phase signals

Characterization of analytic phase signals

In many cases, a real-valued signal x(t) may be associated with a complex-valued signal a(t)e ~°(t) , the analytic signal associated with x'(t) with the characteristic properties x(t) = a(t) cos O(t) and "H(a(.)cos0(-))(t) = a(t)sin0(t). Using such obtained amplitude-frequency modulation the instantaneous frequency of x(t) at the time to may be defined to be 0'(t0), provided O'(to) >_ O. The pr...

On discrete multiresolution analytic signals

Feature extraction from analytic phase of speech signals for speaker verification

The objective of this work is to study the speaker-specific nature of analytic phase of speech signals. Since computation of analytic phase suffers from phase wrapping problem, we have used its derivativethe instantaneous frequency for feature extraction. The cepstral coefficients extracted from smoothed subband instantaneous frequencies (IFCC) are used as features for speaker verification. The...

Amplitude, Phase and Frequency Estimation based on the Analytic Representation of Power System Signals

Power Quality problems have a significant impact in electrical power systems. Therefore, real-time techniques to detect and quantify these problems are getting much attention. This paper proposes a new approach based on the real wavelet transform of the analytic representation of distorted power signals. To generate the analytic signal, two methods are given. The first method is based on Fast F...

Analytic phase margin design

In [4] an algorithm is presented for analytic phase margin control design. Without special care, however, the compensator computed with this algorithm may not be a real rational function. The problem is evident when the plant has real unstable poles. In this case the algorithm in [4] requires a mapping of real points into complex values, and it is not clear that the resulting compensator has re...