The linear frequency modulation (LFM) interference is one of the typical broadband interferences in direct sequence spread spectrum (DSSS) communication system. In this article, a novel parameter estimation method LFM proposed for DSSS system alpha-stable noise. To accurately estimate parameters, noise should be eliminated first. Thus, we formulate new generalized extended chirplet transform to...

The modified adaptive Chirplet decomposition (MACD) is presented in this paper. It is based on the extension of the traditional Chirplet atoms to the form of the quadratic frequency-modulated signals. The accuracy of the signal decomposition is improved compared with the traditional Chirplet decomposition. A practical algorithm for the parameters estimation of monocomponent MACD atom and the de...

The chirp function is one of the most fundamental functions in nature. Many natural events, for example, most signals encountered in seismology and the signals in radar systems, can be modeled as the superposition of short-lived chirp functions. Hence, the chirp-based signal representation, such as the Gaussian chirplet decomposition, has been an active research area in the field of signal proc...

Time-frequency representations, like the spectrogram or the scalogram, are widely used to characterize dispersive waves. The resulting energy distributions, however, suffer from the uncertainty principle, which complicates the allocation of energy to individual propagation modes (especially when the dispersion curves of these modes are close to each other in the time-frequency domain). This res...

The well-known Linear Chain Trick (LCT) allows modelers to derive mean field ODEs that assume gamma (Erlang) distributed passage times, by transitioning individuals sequentially through a chain of sub-states. time spent in these states is the sum $k$ exponentially random variables, and thus distributed. Generalized (GLCT) extends this technique much broader phase-type family distributions, whic...

Matching pursuit (MP) is an adaptive signal decomposition technique and can be applied to process Lamb waves, such as denoising, wave parameter estimation, and feature extraction, for health monitoring applications. This paper explored matching pursuit decomposition using Gaussian and chirplet dictionaries to decompose/approximate Lamb waves and extract wave parameters. While Gaussian dictionar...