F(φ(t)) = Φ(f) = ∫ ∞ −∞ f(t)e−2πiftdt F−1(Φ(f)) = φ(t) = ∫ ∞ −∞ Φ(f)edf The notation φ(t) ⊃ Φ(f) is also used to indicate that Φ(f) is the Fourier transform of φ(t). Another common notational convention is that capital letters are used for the names of functions in the frequency domain, and corresponding lower case letters are used for functions in the time domain. In this notation, s is often ...

The quantitative description of the propagation energy components in a signal is fundamental task processing. correct identification important because they carry information about medium which propagate. In this article, I introduce Reassigned Cross-S-Transform to estimate dispersion curves from time-varying signals, technique based on function maximization principles and time-frequency cross-c...

By exploiting a causality property of the nonlinear Fourier transform, a novel decisionfeedback detection strategy for nonlinear frequency-division multiplexing (NFDM) systems is introduced. The performance of the proposed strategy is investigated both by simulations and by theoretical bounds and approximations, showing that it achieves a considerable performance improvement compared to previou...

although elzaki transform is stronger than sumudu and laplace transforms to solve the ordinary differential equations withnon-constant coefficients, but this method does not lead to finding the answer of some differential equations. in this paper, a method is introduced to find that a differential equation by elzaki transform can be ‎solved?‎