We present spatial-Slepian transform~(SST) for the representation of signals on sphere to support localized signal analysis. use well-optimally concentrated Slepian functions, obtained by solving spatial-spectral concentration problem finding bandlimited and spatially optimally functions sphere, formulate proposed transform obtain joint domain signal. Due optimal energy in spatial domain, allow...

In this paper, our goal is to investigate local chirp rate (CR) estimation in noisy multicomponent signals. The focus put on improving a specific type of CR estimator used the second order synchrosqueezing transform, which proves be very inaccurate presence noise. More precisely, noise creates spurious oscillations estimate, and we first emphasis terms responsible for these oscillations. Then p...

The extraction of oscillatory components and their properties from different time-frequency representations, such as windowed Fourier transform and wavelet transform, is an important topic in signal processing. The first step in this procedure is to find an appropriate ridge curve: a sequence of amplitude peak positions (ridge points), corresponding to the component of interest. This is not a t...

The increase in the complexity of modern electronic products has brought significant challenges to fault diagnosis circuits, and current methods have problems such as long identification time, inaccurate positioning, low diagnostic efficiency. In response these situations. This paper proposes a method for circuits combining synchronous synchrosqueezing wavelet transform (SWT), deep convolutiona...

We present a new algorithm for reliable, unbiased, multivariate longitudinal analysis of cortical and white matter atrophy rates with penalized statistical methods. The pipeline uses a step-wise approach to transform and personalize template information first to a single-subject template (SST) and then to the individual's time series data. The first stream of information flows from group templa...

In nature and engineering world, the acquired signals are usually affected by multiple complicated factors appear as multicomponent nonstationary modes. such many other situations, it is necessary to separate these into a finite number of monocomponents represent intrinsic modes underlying dynamics implicated in source signals. this paper, we consider mode retrieval signal which has crossing in...