The Special Affine Fourier Transform or the SAFT generalizes a number of well known unitary transformations as well as signal processing and optics related mathematical operations. Unlike the Fourier transform, the SAFT does not work well with the standard convolution operation. Recently, Q. Xiang and K. Y. Qin introduced a new convolution operation that is more suitable for the SAFT and by whi...

In this work we extend the crossover (CR) modification of the statistical-associating-fluid-theory (SAFT) equation of state (EOS), recently developed and applied for non-associating systems [Ind. Eng. Chem. Res. 38 (1999) 4993] to associating fluids. Unlike the previous crossover EOS that was based on the parametric linear model for the universal crossover function Y, the new CR SAFT EOS is bas...

Recent theoretical and simulation studies suggest an unexpected shift in the solubility of n-alkanes in nearcritical water, which would indicate that longer n-alkane molecules are more soluble than shorter ones. This trend is contrary to what one finds at ambient conditions, where longer alkanes generally have a lower aqueous solubility. The latter is usually interpreted as a consequence of the...

The special affine Fourier transform (SAFT) is an extended version of the classical and incorporates various signal processing tools which include transforms, fractional transform, linear canonical other related transforms. This paper aims to introduce a novel octonion (O−SAFT) establish several classes uncertainty inequalities for proposed transform. We begin by studying norm split energy cons...

The time and Fourier domain Synthetic Aperture Focusing Technique (SAFT and FSAFT) have been used to improve both sensitivity and lateral resolution of ultrasonic NDT. Following acquisition of signals over the surface of the tested piece, SAFT identifies a defect by summing all the signals within a certain area (the aperture) after giving proper time-delays. FSAFT, although using the same data,...

The synthetic aperture focusing technique (SAFT) has been previously employed to increase the penetration and to extend the depth of focus. This is particularly important in high frequency ultrasonic imaging because dynamic focusing using arrays is not yet possible. However, performance of the SAFT is limited due to its high sidelobes. In this paper, an adaptive weighting technique based on a f...

The aim of this study was to investigate the effect of a multi-directional soccer-specific fatigue protocol on sprinting kinematics in relation to hamstring injury risk. Nine semi-professional soccer players (Mean +/- SD: Age: 21.3 +/- 2.9 year; Height 185.0 +/- 8.7 cm; Body Mass 81.6 +/- 6.7 kg) completed the SAFT(90); a multi-directional, intermittent 90 min exercise protocol representative o...

A statistical associating fluid theory for potential of variable range has been recently developed to model dipolar fluids (SAFT-VR+D) [Zhao and McCabe, J. Chem. Phys. 2006, 125, 104504]. The SAFT-VR+D equation explicitly accounts for dipolar interactions and their effect on the thermodynamics and structure of a fluid by using the generalized mean spherical approximation (GMSA) to describe a re...