Browsing by Author "Islam, M.J.,"

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    Estimation of optimum number of poles for random signal by Yule-Walker method
    (Universitas Ahmad Dahlan, 2017) Al Amin, A.,; Islam, M.S.,; Abdul Al Woadud, K.M.,; Islam, M.J.,; ImrulKayes, M.
    The Yule-Walker method is an effective method to estimate the system response or spectrum for random signal. Hence most of the noise and spurious signals are random in nature, so it is very convenient to estimate their spectrum by Yule-Walker method successfully. The Yule-Walker method is an autoregressive process to estimate the poles and errors also based on the number of poles for Wide Sense Stationary (WSS) process as well. Moreover the value of zero will be correspondingly calculated based on the poles in case of all poles model. The main concern of this paper is to analyze the Yule-Walker method and estimate the poles and zero along with the error based on the number of poles for a random signal. Moreover analyze the results to find out the optimum number of poles for least possible error.
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    Extraction of solitary wave features to the heisenberg ferromagnetic spin chain and the complex klein–gordon equations
    (Springer, 2019) Al Woadud, K.M.A.,; Kumar, D.,; Islam, M.J.,; Kayes, M.I.,; Kundu, A.K.
    In this paper, the modified Kudryashov method is applied for obtaining the exact travelling wave solutions for the (2 + 1)-dimensional Heisenberg ferromagnetic spin chain equation and the complex Klein–Gordon equation. The extracted solutions show distinct physical configurations. More precisely, the modified Kudryashov method is utilized for constructing the exact periodic and soliton solutions of these equations. As an outcome, in a broader sense, dark, bright, dark-bright, singular or combined singular and optical soliton solutions or wave features are derived from the equations. All solitons are verified through the corresponding equations with the help of Maple package program. The three-dimensional and two-dimensional waves are generated with the help of MATLAB for investigating the real significance of the proposed scheme to draw all solutions.