A chirp signal x(t) = e j2π ct2 2 = A(t)e jθ(t) has instantaneous frequency fx(t) = ct units of Hz (or radians, etc.) so instantaneous frequency for a linear FM chirp is a linear function of time t. The frequency is increasing linearly with time, with slope c. Note: if there are more than one simultaneous frequency components, at a particular time, then it is hard to analyze this way. But OK fo...

Event picking is used in many steps of seismic processing. We present an automatic event picking method that is based on a new attribute of seismic signals, the instantaneous traveltime. The calculation of the instantaneous traveltime consists of two separate but interrelated stages. First, a trace is mapped onto the time-frequency domain. Then the time-frequency representation is mapped back o...

In this paper, the AM{FM modulation model is applied to speech analysis, synthesis and coding. The multiband demodulation pitch tracking algorithm is proposed that produces smooth and accurate fundamental frequency contours. The AM{ FM modulation vocoder represents speech as the sum of resonance signals modeled by their amplitude envelope and instantaneous frequency signals. E cient modeling an...

This article presents a method of signal timescale modification using spectral analysis-resynthesis. It discusses an alternative technique for instantaneous frequency estimation, the Instantaneous Frequency Distribution (IFD). The partial tracking analysis employed in this process is explained in some detail, followed by a look into the resynthesis method. The article discusses this technique o...

We propose a new approach for studying the notion of the instantaneous frequency of a signal. We build on ideas from the Synchrosqueezing theory of Daubechies, Lu, andWu [Appl. Comput. Harmonic Anal., 30 (2010), pp. 243–261] and consider a variant of Synchrosqueezing, based on the short-time Fourier transform, to precisely define the instantaneous frequencies of a multicomponent AM-FM signal. W...