scholarly journals Characterization of the peak value behavior of the Hilbert transform of bounded bandlimited signals

2013 ◽  
Vol 49 (3) ◽  
pp. 197-223
Author(s):  
H. Boche ◽  
U. J. Mönich
Keyword(s):  
Hilbert Transform ◽  
Bandlimited Signals ◽  
The Hilbert Transform ◽  
Peak Value

scholarly journals A characterization of the Hilbert transform

1998 ◽  
Vol 126 (6) ◽  
pp. 1747-1749
Author(s):  
Nicola Arcozzi ◽  
Luigi Fontana
Keyword(s):  
Hilbert Transform ◽  
The Hilbert Transform

Non-Parametric Identification of Asymmetric Signals and Characterization of a Class of Non-Linear Systems Based on Frequency Modulation

2016 ◽  
Author(s):  
Václav Ondra ◽  
Ibrahim A. Sever ◽  
Christoph W. Schwingshackl
Keyword(s):  
Linear Systems ◽  
Hilbert Transform ◽  
Frequency Modulation ◽  
Parametric Identification ◽  
Free Decay ◽  
Non Linear ◽  
Non Linear Systems ◽  
The Hilbert Transform ◽  
Non Parametric

Non-parametric and parametric identification of a non-linear system is often performed by estimating instantaneous amplitude and frequency using the Hilbert transform. However, the Hilbert transform cannot be used for the accurate analysis of asymmetric signals and the reliable estimation of intra-wave frequency modulation. This paper proposes two alternatives to the Hilbert transform which not only avoid some of its mathematical and numerical issues, but also allow the above mentioned analyses. The first method, based on zero-crossing, allows the backbone and damping curves as well as the elastic and damping force characteristics of an asymmetric free decay to be identified. The application and accuracy of this method are demonstrated on the free decay of the system with off-centre clearance. The second method, based on direct quadrature, estimates intrawave frequency modulation frequency with sufficient resolution for characterization of non-linear systems which have stiffness non-linearities. The use of this method is shown on a system with cubic hardening stiffness.

Model of multicomponent narrow-band periodical non-stationary random signal

2020 ◽  
Vol 2020 (48) ◽  
pp. 17-24
Author(s):  
I.M. Javorskyj ◽  
◽  
R.M. Yuzefovych ◽  
P.R. Kurapov ◽  
◽  
...  
Keyword(s):  
Time Series ◽  
Real Time ◽  
Hilbert Transform ◽  
Spectral Properties ◽  
Narrow Band ◽  
Analytic Signal ◽  
Random Signal ◽  
Hilbert Transformation ◽  
The Hilbert Transform

The correlation and spectral properties of a multicomponent narrowband periodical non-stationary random signal (PNRS) and its Hilbert transformation are considered. It is shown that multicomponent narrowband PNRS differ from the monocomponent signal. This difference is caused by correlation of the quadratures for the different carrier harmonics. Such features of the analytic signal must be taken into account when we use the Hilbert transform for the analysis of real time series.

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