Obtaining of Time Response from Frequency Response of Fractional Order Systems

Avsar, Selman Fatih
In this paper, an approximation method for obtaining the unit step response of a fractional order system is presented. The method is based on using piecewise linear equivalence of real frequency response curve of the system. Simulation examples shows that this method gives successful unit step response results for the fractional order systems.


Two methods for the numerical integration of the time-dependent Schrodinger equation with given initial conditions (initial wave packet) are presented. The first method (method A) is based on the Schrodinger representation of the quantum-dynamical system while the second one (method B) is based upon the intermediate representation. In both cases the quantum dynamical equation is transformed into a system of Hamilton-Jacobi type equations of motion as occurring in multi particle classical dynamics, i.e. stan...
Derivation of length extension formulas for complementary sets of sequences using orthogonal filterbanks
Candan, Çağatay (Institution of Engineering and Technology (IET), 2006-11-23)
A method for the construction of complementary sets of sequences using polyphase representation of orthogonal filterbanks is presented. It is shown that the case of two-channel filterbanks unifies individually derived length extension formulas for complementary sequences into a common framework and the general M-channel case produces novel formulas for the extension of complementary sets of sequences. The presented technique can also be used to generate polyphase and multilevel sequences.
Analysis of Radial Excitations of Octet Baryons in QCD Sum Rules
Alıyev, Tahmasıb; Bilmiş, Selçuk (Hindawi Limited, 2017-01-01)
Using the QCD sum rules method, we estimate the mass and residues of the first radial excitations of octet baryons. The contributions coming from the ground state baryons are eliminated by constructing the linear combinations of the sum rules corresponding to different Lorentz structures. Our predictions of the masses of the first radial excitations of octet baryons are in good agreement with the data.
An efficient method for fundamental frequency estimation of periodic signals with harmonics
Çelebi, Utku; Candan, Çağatay; Department of Electrical and Electronics Engineering (2020-8)
A computationally efficient method for the fundamental frequency estimation of a group of harmonically related complex sinusoids is given. To this aim, an efficient frequency estimation method for single tone complex sinusoids is adapted to the harmonic frequency estimation problem. The main idea of the suggested Fast Fourier Transform based method is the frequency estimation of individual complex sinusoids after the removal of the interference due to other harmonics. After several iterations of estimation ...
Exact Pseudospin Symmetric Solution of the Dirac Equation for Pseudoharmonic Potential in the Presence of Tensor Potential
AYDOĞDU, OKTAY; Sever, Ramazan (Springer Science and Business Media LLC, 2010-04-01)
Under the pseudospin symmetry, we obtain exact solution of the Dirac equation for the pseudoharmonic potential in the presence of the tensor potential with arbitrary spin-orbit coupling quantum number kappa. The energy eigenvalue equation of the Dirac particles is found and the corresponding radial wave functions are presented in terms of confluent hypergeometric functions. We investigate the tensor potential dependence of the energy of the each state in the pseudospin doublet. It is shown that degeneracy b...
Citation Formats
S. F. Avsar and S. E. HAMAMCI, “Obtaining of Time Response from Frequency Response of Fractional Order Systems,” 2015, p. 2601, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/65943.