Expansion of random wave phase in terms of eigenfunctions of phase correlation function

2002 ◽  
Author(s):  
Yusup N. Isaev ◽  
Elena V. Zakharova
Keyword(s):  
Correlation Function ◽  
Phase Correlation ◽  
Random Wave ◽  
Wave Phase

Phase correlation function of liquid crystal-polymer composites

2008 ◽  
Author(s):  
P. P. Maksymyak ◽  
A. L. Negrych ◽  
L. O. Dolgov ◽  
O. V. Yaroshchuk
Keyword(s):  
Correlation Function ◽  
Liquid Crystal ◽  
Polymer Composites ◽  
Liquid Crystal Polymer ◽  
Phase Correlation ◽  
Crystal Polymer

scholarly journals On the Bound Wave Phase Lag

Fluids ◽  
2019 ◽  
Vol 4 (3) ◽  
pp. 152 ◽  
Author(s):  
Thomas Guérin ◽  
Anouk de Bakker ◽  
Xavier Bertin
Keyword(s):  
Order Approximation ◽  
Laboratory Data ◽  
Short Wave ◽  
Random Wave ◽  
Phase Lag ◽  
Bottom Slope ◽  
Peak Period ◽  
Lower Phase ◽  
Wave Phase ◽  
Phase Lags

More than three decades ago, it was noted that the ocean infragravity bound wave increasingly lags behind the forcing short-wave groups when propagating towards the shore. To date, the most recent theoretical prediction of this so-called phase lag remained a first-order approximation in terms of depth variations. Here, a new semi-analytical solution is proposed which does not rely on this approximation. Strong agreement is obtained when the new solution is compared with high-resolution laboratory data involving both bichromatic and random wave conditions. This newly proposed theoretical phase lag is then extensively compared with the former one, highlighting an increasing discrepancy between the two solutions as the relative bottom slope increases. The four influencing parameters, namely the bottom slope, the water depth, the incident short-wave peak period and the incident group period, are shown to impact, each in a specific way, the bound wave phase lag. While the latter is seen to increase with lower water depths and/or with higher short-wave peak periods, both the bottom slope and the group period can affect the phase lag in a different manner. Indeed, steeper bed slopes induce lower phase lags in shallow water but higher ones in deep water, while higher group periods induce higher phase lags for gentle slopes but lower ones for steep slopes.

scholarly journals Phase correlation functions: FFT vs. FHT

ACTA IMEKO ◽  
2019 ◽  
Vol 8 (1) ◽  
pp. 87 ◽  
Author(s):  
Giuseppe Schirripa Spagnolo ◽  
Lorenzo Cozzella ◽  
Fabio Leccese
Keyword(s):  
Image Processing ◽  
Fourier Transform ◽  
Correlation Function ◽  
Pattern Matching ◽  
Phase Correlation ◽  
Critical Element ◽  
Hartley Transform ◽  
Subpixel Accuracy ◽  
2D Fft ◽  
Good Substitute

<p><span lang="EN-GB">The ability to process an image is a crucial skill in many measurement activities. In image processing or pattern recognition, Fast Fourier Transform (FFT) is widely used. In particular, the Phase Only Correlation (POC) method demonstrates high robustness and subpixel accuracy in pattern matching. However, there is a disadvantage in the required memory machine because of the calculation of 2D-FFT. In applications in which the use of memory is a critical element, Fast Hartley Transform (FHT) seems to be a good substitute. In this context, the use of Hartley’s transform can be of interest for apps implemented on portable systems e.g. smartphones. In this article, we present a comparison of the implementations of the phase correlation function using FFT and FHT. Particular attention is given to the analytical steps necessary to implement the POC by means of the Hartley transform.</span></p>

Galvanomagnetic properties in the spin-density-wave phase of (TMTSF)2PF6

1999 ◽  
Vol 09 (PR10) ◽  
pp. Pr10-247-Pr10-249 ◽  
Author(s):  
B. Korin-Hamzic ◽  
M. Basletić ◽  
N. Francetić ◽  
A. Hamzić ◽  
K. Bechgaard
Keyword(s):  
Spin Density ◽  
Density Wave ◽  
Spin Density Wave ◽  
Wave Phase ◽  
Galvanomagnetic Properties
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