PARAMETRIC SPECTRAL ANALYSIS FOR NOISY SIGNALS WI TH GAUSSIAN SPECTRUM

The S-transform is a method of time-local spectral analysis (also known as time-frequency analysis), a modified short-time Fourier Transform, in which the width of the analyzing window scales inversely with frequency, in analogy with continuous wavelet transforms. If the time series is non-stationary and consists of a mix of Gaussian white noise and a deterministic signal, though, this type of scaling leads to larger apparent noise amplitudes at higher frequencies. In this paper, we introduce a modified S-transform window with a different scaling function that addresses this undesirable characteristic.

Download Full-text

PARAMETRIC SPECTRAL ANALYSIS OF UNIMODAL SPECTRUM FOR NOISY SIGNALS

Vestnik of Ryazan State Radio Engineering University ◽

10.21667/1995-4565-2016-57-3-3-8 ◽

2016 ◽

Vol 59 (3) ◽

pp. 3-8

Author(s):

V. G. Andreyev ◽

◽

H. L. Tran ◽

Keyword(s):

Spectral Analysis ◽

Noisy Signals

Download Full-text

Nonlinear averagings and overlapping techniques for spectral analysis of noisy signals

IMTC/98 Conference Proceedings. IEEE Instrumentation and Measurement Technology Conference. Where Instrumentation is Going (Cat. No.98CH36222) ◽

10.1109/imtc.1998.676856 ◽

2002 ◽

Author(s):

F. Attivissimo ◽

M. Savino ◽

A. Trotta

Keyword(s):

Spectral Analysis ◽

Noisy Signals

Download Full-text

Effect of spectral resolution on weak-value based parameter estimation

Journal of Physics B Atomic Molecular and Optical Physics ◽

10.1088/1361-6455/abb1fe ◽

2020 ◽

Vol 53 (21) ◽

pp. 215501

Author(s):

Jing-Zheng Huang ◽

Yang Yu ◽

Dongzi Zhao ◽

Hongjing Li ◽

Guihua Zeng

Keyword(s):

Spectral Analysis ◽

Parameter Estimation ◽

Spectral Resolution ◽

Real World ◽

Weak Value ◽

Error Ratio ◽

Real World Applications ◽

Convenient Technique ◽

Weak Value Amplification ◽

Gaussian Spectrum

Abstract There was a long-standing postulation that the precision of weak-value based metrology using post-selection and spectral analysis is limited by the resolution of spectrometer. Current proposals releasing this limitation require either initially Gaussian spectrum or giving up the weak value amplification approximation, both of which make extra restrictions and increase the difficulty of implementation. However, we find that this compromise is unnecessary. Rather than the spectral resolution, the precision of weak-value based metrology mainly relies on how accurate we know about the initial pointer state. Moreover, the relation between knowledge of the initial pointer state and the error-ratio of output is provided and numerically simulated. Our results suggest that the detection devices of weak-value based metrology can be significantly simplified, thus made it a more convenient technique for real-world applications.

Download Full-text