Abstract

In this paper, we propose a method for applying the time and frequency domain's representation to multicomponent signals. Our discussion is based on the method of ridge detection extraction taking into account the time and frequency domain by following the demodulation method, and the numerical results obtained by applying this method are evident compared to other methods that do not use demodulation. The simulation carried out on the examine signals indicates that the signal estimation can be accessed by the initial estimation of the information carrier signals. In both noisy and noise-free environments, the frequency-time-based observation method is more accurate than the other methods.

Highlights

  • There are many physical subsystems that produce synthetic signals, that usually integrate amplitude and frequency modulation waves

  • We attempted to define a new algorithm for existing options for detecting multi-component signals

  • The basis of the proposed methods could lead to ridge signal detection, which is considered as a demodulation detection method

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Summary

INTRODUCTION

There are many physical subsystems that produce synthetic signals, that usually integrate amplitude and frequency modulation waves. Fast Fourier transform is part of the signal ridge detection that is included in the Fourier transform scheme [1]. This detection method is used to retrieve different components of the signal based on the signal ridge. The foregoing method involves time-domain representation and acceptable approximation known as short time Fourier transform (STFT). We attempt to describe a specific modulation method based on the transform of second-order functions with the synchrosqueezing transform method to gain a better and more accurate representation of the signal. The purpose of synchrosqueezing transform is to use a second-order estimation method called SST [4]. We try to focus on the operational structure of the signal ridge estimation and follow the displacement of the definition of the demodulation method by a structural algorithm

Initial definitions and notations
THE SECOND-ORDER SYNCHROSQUEEZING
STFT calculation and Synchrosqueezing transform
Approximation of signal ridges
PROPOSED RIDGE EXTRACTION ALGORITHM
Influence of zero-padding on the signal ridge approximation
Signal Reconstruction Method
CONCLUSION
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