
Muhammad KabirMcGill University | McGill · Department of Electrical & Computer Engineering
Muhammad Kabir
BSc, MSc
About
20
Publications
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185
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Introduction
Additional affiliations
January 2011 - December 2014
September 2010 - March 2015
September 2010 - present
Publications
Publications (20)
Macromodeling techniques using Loewner Matrix (LM) interpolation were proposed recently as a way to generate time-domain macromodels based on simulated Y-parameters. These approaches scale very well with respect to the number of ports as well as number of poles in the system. However, these methods become less efficient in terms of accuracy and pas...
Loewner Matrix interpolation based macromodeling methods can generate an accurate macromodel for large and complex structures. However, there is less flexibility in the choice of the macromodel order due to the need to ensure passivity. In this paper, an algorithm is proposed to obtain a reduced order model based on Loewner Matrix interpolation whi...
In this paper, a method for obtaining a reduced order macromodel based on measured/simulated admittance parameters is presented. Loewner Matrix based macromodeling may require an higher than optimal system order in order to preserve the passivity of the macromodel. In this paper, a modified order selection scheme, combined with the Hamiltonian-Symp...
In this paper, a method for obtaining a reduced order macromodel based on measured parameters is presented. Loewner Matrix based macromodeling may require a higher than optimal system order in order to preserve the passivity of the macromodel. In this paper, a modified order selection scheme, combined with the Hamiltonian Matrix Pencil perturbation...
In this paper, a Stroud cubature based stochastic collocation approach for the efficient statistical analysis of
microwave networks is proposed. The key advantage of this approach is that the number of Stroud collocation nodes scales optimally (i.e. linearly) with the number of random dimensions thereby requiring substantially smaller number of ful...
In this paper, a novel stochastic macromodeling technique for the variability analysis of complex electromagnetic (EM) structures is proposed. This work combines a pseudo spectral approach with the Loewner matrix interpolation technique to generate the polynomial chaos macromodel from the stochastic S-parameters of the structure. The major benefit...
In this paper, a novel stochastic macromodeling technique for the variability analysis of complex electromagnetic (EM) structures is proposed. This work combines a pseudo spectral approach with the Loewner matrix interpolation technique to generate the polynomial chaos macromodel from the stochastic S-parameters of the structure. The major benefit...
Distributed networks with embedded parametric uncertainty can be characterized in the frequency-domain by tabulated augmented multiport S or Y-parameter responses based on a stochastic Galerkins formulation of the network equations. In this work, the Loewner Matrix approach is utilized to generate a compact SPICE-compatible macromodel of the stocha...
Stochastic distributed networks can be characterized in the frequency-domain by augmented multiport Y-parameter sampled data based on a stochastic Galerkin's formulation of the network equations. In this paper, a Loewner Matrix approach towards generating time-domain macromodels from the augmented multiport data is proposed. The key benefit of this...
Recently, Loewner Matrix (LM) method was introduced for generating time-domain macromodels based on frequency-domain measured parameters. For the case of lumped systems the order is clearly defined and is detected easily by the LM algorithm. However, for the case of distributed systems with a theoretically infinite number of poles, an optimum order...
In macromodeling of high speed modules, recently introduced Loewner Matrix (LM) based algorithms were shown to be very accurate and efficient for generating time-domain macromodel of a structure with a large number of ports and poles, based on frequency-domain Y-parameter data. In this paper, we present a method to generate a SPICE netlist from the...
A Parametric macromodeling algorithm based on standard Loewner Matrix (LM) method was introduced recently for generating parametric time-domain macromodels based on S-parameter data. The method was shown to be efficient and accurate for systems with large number of ports and poles. However, the method is not suitable for the parametric problems whe...
Recently, Loewner Matrix (LM) based algorithms were introduced for generating time-domain macromodels based on frequency-domain data. These methods were shown to be very efficient and accurate for systems with large number of ports. Traditional LM method can handle only single variable frequency-domain data i.e. the data depending on frequency only...
Recently, Loewner matrix (LM)-based methods were introduced for generating time-domain macromodels based on frequency-domain measured parameters. These methods were shown to be very efficient and accurate for lumped systems with a large number of ports; however, they were not suitable for distributed transmission-line networks. In this paper, an LM...
In this paper, a new Loewner-Matrix based efficient algorithm for fast frequency sweep of S or Y parameters of highspeed modules is proposed. The new method adaptively minimizes the number of frequency point solutions leading to significant speed-up over conventional methods. The proposed method is identically applicable regardless of the solution...
Recently, Loewner Matrix (LM) based methods were introduced for generating time-domain macromodels based on frequency domain measured parameters. These methods were shown to be very efficient and accurate for systems with a very large number of ports, however they were not suitable for distributed transmission line networks. In this paper, an LM ba...
A recently introduced wave-based transient analysis uses relaxation and thus does not require large matrix decompositions at each nonlinear iteration. The use of waves results in guaranteed convergence for any linear passive circuit and some types of nonlinear circuits, but the convergence rate can not be controlled. In this work, the wave-based tr...
This article reports a new method for transient analysis of nonlinear circuits based on nonlinear device state variables and waves at their ports. The method is based on relaxation and thus does not require large matrix decompositions if time step is constant. The use of waves results in guaranteed convergence for any linear passive circuit and som...
Questions
Question (1)
In control theory the poles of a LTI system is computed from the eigenvalues of matrix pencil (A,E) where matrices A and E come from the descriptor system representation. In my problem I have a stable system (i.e. the all the eigenvalues have negative real part). Now if matrix A is perturbed by adding a all-ones matrix, almost all the poles stays same (i.e. stable), however some poles (maximum 2) become unstable (i.e. positive real part) and stay on the real axis very far from the origin. I have to mathematically prove the reason behind that. Can anyone help me answering that question please or at least direct me to some references where I can search for answers?