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This paper presents the application of higher order eigenvalue moment ratio based blind spectrum sensing to the cognitive radio. It starts with an investigation on recently proposed eigenvalue based blind spectrum sensing techniques, that work under sample starving environment. A modified version of eigenvalue moment ratio (EMR) spectrum sensing based on random matrix theory (RMT) is proposed. EMR...
For complex large scale networks, like social networks, it is typically impossible to observe complete information about their topology structure or link weight directly. A recent proposal, the network resonance method, can estimate the eigenvalues and eigenvectors of the Laplacian matrix for representing network structure, by using the resonance phenomena of oscillation dynamics on networks. However,...
There are many models and metrics developed to study the resilience of networks. Eigenvalues are the roots of the characteristic polynomial for a given graph and are mathematically rigorous compared to a statistical measure such as degree distribution. The graph energy is the sum of absolute values of eigenvalues; there is a subtle difference between the adjacency, Laplacian, and normalized Laplacian...
Wind energy has attracted great interest as alternative source for electric power supply. However, its intermittent nature has been an issue of concern when integrated in power system. In this paper numerical technique based on generalised eigenvalues is used to investigate the influence of intermittent wind energy on small signal stability of power system. The result shows that the variation of power...
Utilizing additional devices for small signal stability enhancement of power systems is crucial over the last few years due to increasing number of demand, uncertainty of load and integrating intermittent power system based on renewable energy. Among the number of additional devices in power system, energy storage is becoming more popular in last few decade. This paper investigates the impact of different...
In this paper, we prove the convergence and determine the best convergence factor of the gradient-based iterative algorithm for the equation Ax = b by analyzing the eigenvalues of the relevant matrices. A new property of eigenvalues related to the symmetric positive definite matrix is established. By using this property, we obtain a family of iterative algorithms for the linear matrix equation and...
This paper presents an eigenvalue-based impedance stability analytical method of multiple paralleled grid-connected inverter system. Different from the conventional impedance-based stability criterion, this work first built the state-space model of paralleled grid-connected inverters. On the basis of this, a bridge between the state-space-based modelling and impedance-based stability criterion is...
The study focuses on the investigation small-signal stability in power systems using two methods. One of the methods is traditional method of modal analysis investigating behavior of the eigenvalues. Another one is a new sub-Gramians method that was worked out in Institute of Control Sciences (ICS) RAS. The method is based on the application of the so-called sub-Gramians derivable from solving the...
For the large-scale wireless mobile networks, the topology or global state information directly affects congestion control, traffic control, quality of service and so on. Due to the dynamic change of the opportunistic network structure, the node can not perceive the current state of the network, therefore, it is important to improve the routing quality by designing a topology aware algorithm that...
This paper proposes a method for speeding up the estimation of the absolute value of largest eigenvalue of an asymmetric tridiagonal matrix based on Power method. An error analysis shows that the proposed method provide errors no greater than the usual Power method. The proposed method involves the computation of the tridiagonal matrix square under analysis, which is performed through a proposed fast...
This paper presents a new approach of calculating eigenvalues of any matrix, using triangular systolic array (TSA) architecture which incorporates three angle complex-rotation (TACR) architecture, as it reduces area and latency of the design. This TACR architecture has been further modified to reduce the area utilized by the architecture. Subsequently, the very-large scale-integration (VLSI) architecture...
In cognitive radio spectrum sensing is a fundamental problem. Under the case of uncorrelated noise different methods are used for spectrum sensing. In this paper we compare the performance of MP and eigenvalue based methods. In eigenvalue based method we find the threshold using random matrix theory (RMT). Marchenko-Pastur (MP) method use standard condition number (SCN) to find the threshold. Here...
In this paper, we propose a compact two-dimensional finite-difference frequency-domain method (2-D FDFD) with sub-regions division to analyze the propagation characteristics in the generalized ridge waveguides. Compared to other approaches in which six field components are comprised, this approach enjoys an extra saving of CPU time by only involving four transverse field components in the final resulting...
Eigenvalues of the Laplacian matrix play an important role in characterizing structural and dynamical properties of networks. In the procedure for calculating eigenvalues of the Laplacian matrix, we need to get the Laplacian matrix that represents structures of the network. Since the actual structure of networks and the strength of links are difficult to know, it is difficult to determine elements...
There are various different kinds of on-board satellite data (called 'satellite integrated data'), such as telemetry, telecommand, diagnosis knowledge, etc. Because some of the data (such as telemetry) is very large and most of these data is needed to be inquired in near real time, a stronger management strategy is needed to deal with the data. This paper researched the key techniques about satellite...
Aiming at the shortcomings of solving eigenvalues and eigenvectors of matrix by using traditional methods, this paper proposes the population migration algorithm based on speed, which can convert solving matrix eigenvalue problem to unconstrained optimization problems, and take a population migration algorithm to solve matrix eigenvalues and eigenvectors. Simulation results show that the proposed...
We aimed to study the effects of an anti-gravity treadmill (AlterG) training on balance and postural stability in children with cerebral palsy (CP). AlterG training was performed 3 days/week for 8 weeks, with up to 45 minutes of training per session. The subject was evaluated before and after the 8-week training. The effects of training on the balance and postural stability was evaluated based on...
This paper presents a numerical procedure to calculate complex propagation constants of first higher mode of microstrip. The eigenvalue approach based on the 2M-port ABCD matrix is reported to extract the complex propagation constants of the leaky-mode antenna. The RPA (relative power absorbed) values, extracted from the two-port measured results of the prototype, validate the proposed numerical method.
This paper considers pointwise stabilization of an Euler-Bernoulli beam equation where two kinds of feedback are jointed with each other for the arbitrary internal point in the boundary conditions. The asymptotic expressions of the eigenvalues are obtained for all sufficient large positive integers. And then the asymptotical stability and exponential stability have been analyzed by the characteristic...
The function of Automatic Generation Control (AGC) is to regulate the output power of the corresponding generator in response to changes in system frequency or tie line loading or in both cases within a prescribed limit. In this paper Differential Evolution (DE) based Proportional-Integral (PI) controller is designed and simulated to observe its performance for a two area Hydro-Thermal power system...
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