Novel Fourier quadrature transforms and analytic signal representations for nonlinear and non-stationary time-series analysis

@article{Singh2018NovelFQ,
  title={Novel Fourier quadrature transforms and analytic signal representations for nonlinear and non-stationary time-series analysis},
  author={Pushpendra Singh},
  journal={Royal Society Open Science},
  year={2018},
  volume={5}
}
  • Pushpendra Singh
  • Published 29 March 2018
  • Computer Science
  • Royal Society Open Science
The Hilbert transform (HT) and associated Gabor analytic signal (GAS) representation are well known and widely used mathematical formulations for modelling and analysis of signals in various applications. In this study, like the HT, to obtain quadrature component of a signal, we propose novel discrete Fourier cosine quadrature transforms (FCQTs) and discrete Fourier sine quadrature transforms (FSQTs), designated as Fourier quadrature transforms (FQTs). Using these FQTs, we propose 16 Fourier… 

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