An all-optical Orthogonal Frequency Division Multiplexing communication system at 2 THz is modeled using photonic crystal fiber of length 1km, and the performance of four carrier waveforms hyperbolic secant, square of hyperbolic secant, square and sinusoidal is evaluated using standard metrics such as eye diagram and bit error rate. From the above mentioned valuations, one can deduce the minima...

in this paper, an effective technique is proposed to determine thenumerical solution of nonlinear volterra-fredholm integralequations (vfies) which is based on interpolation by the hybrid ofradial basis functions (rbfs) including both inverse multiquadrics(imqs), hyperbolic secant (sechs) and strictly positive definitefunctions. zeros of the shifted legendre polynomial are used asthe collocatio...

In this paper, an effective technique is proposed to determine thenumerical solution of nonlinear Volterra-Fredholm integralequations (VFIEs) which is based on interpolation by the hybrid ofradial basis functions (RBFs) including both inverse multiquadrics(IMQs), hyperbolic secant (Sechs) and strictly positive definitefunctions. Zeros of the shifted Legendre polynomial are used asthe collocatio...

The shape of a probability distribution is often summarized by the distribution’s skewness and kurtosis. Starting from a symmetric “parent” density f on the real line, we can modify its shape (i.e. introduce skewness and in-/decrease kurtosis) if f is appropriately weighted. In particular, every density w on the interval (0, 1) is a specific weighting function. Within this work, we follow up a ...

A generalization of the hyperbolic secant distribution which allows for both skewness and leptokurtosis was given by Morris (1982). Recently, Vaughan (2002) proposed another flexible generalization of the hyperbolic secant distribution which has a lot of nice properties but is not able to allow for skewness. For this reason, Fischer and Vaughan (2002) additionally introduced a skewness paramete...

We show that (g2, a, b) is a Gabor frame when a > 0, b > 0, ab < 1 and g2(t) = ( 1 2πγ) 1 2 (cosh πγt)−1 is a hyperbolic secant with scaling parameter γ > 0. This is accomplished by expressing the Zak transform of g2 in terms of the Zak transform of the Gaussian g1(t) = (2γ) 1 4 exp(−πγt2), together with an appropriate use of the Ron-Shen criterion for being a Gabor frame. As a side result it f...