Fractional Fourier transform is one of a flourishing field of active research due to its wide range of applications. It is well-known that fractional Fourier transform is linear, but not shift invariant as that of conventional Fourier transform. Linear shift invariant systems can be expressed in terms of convolution of two functions. Convolution for fractional Fourier transform, defined by Alme...

Long Term Evolution (LTE) is broadly available to the world. The upcoming trend in LTE-Advanced (LTE-A) emphasizes the enhancement in spectrum efficiency, capacity and cell-edge user throughput and thus highlights the small cell technologies. With the advantage of small size, Femtocell is able to be deployed at "Died zone" and thus satisfying the service expectation particularly to cell-edge us...

The Fractional Frequency Reuse (FFR) scheme combines the benefits of universal Frequency Reuse and Frequency Reuse Factor (FRF)3. Universal Frequency Reuse scheme has high spectral efficiency while FRF=3 scheme is normally used to mitigate Intercell Interference (ICI) in a cellular system. Nevertheless, the advancement of the wireless technology does not stop here. The trend of Long Term Evolut...

the complex-step derivative approximation is applied to compute numerical derivatives. in this study, we propose a new formula of fractional complex-step method utilizing jumarie definition. based on this method, we illustrated an approximate analytic solution for the fractional cauchy-euler equations. application in image denoising is imposed by introducing a new fractional mask depending on s...

This paper proposes a novel adaptive genetic algorithm (AGA) for the multi-objective optimization design of a fractional PID controller and applies it to the control of an active magnetic bearing (AMB) system. Different from PID controllers with three constants, the fractional PID controller’s parameters are composed of proportional constant, integral constant, derivative constant, derivative o...

In central nervous system (CNS) synapses, action potential-evoked neurotransmitter release is principally mediated by CaV2.1 calcium channels (CaV2.1) and is highly dependent on the physical distance between CaV2.1 and synaptic vesicles (coupling). Although various active zone proteins are proposed to control coupling and abundance of CaV2.1 through direct interactions with the CaV2.1 α1 subuni...