Impedance Matrix Compression (IMC) Using Iteratively Selected Wavelet Basis
نویسندگان
چکیده
In this paper, we present a novel approach for the incorporation of wavelets into the solution of frequencydomain integral equations arising in scattering problems. In this approach, we utilize the fact that when the basis functions used are wavelet-type functions, only a few terms in a series expansion are needed to represent the unknown quantity. To determine these dominant expansion functions, an iterative procedure is devised. The new approach combined with the iterative procedure yields a new algorithm that has many advantages over the presently used methods for incorporating wavelets. Numerical results which illustrate the approach are presented for three scattering problems.
منابع مشابه
Analysis of Truncated Periodic Array Using Two-Stage Wavelet-Packet Transformations for Impedance Matrix Compression
A novel method of moments procedure is applied to the problem of scattering by metallic truncated periodic arrays. In such problems, the induced current shows localized behavior within the unit cell and at the same time exhibits cell-to-cell periodicity. In order to select a set of expansion functions that may account for such behavior, a two-stage basis transformation, of which the first stage...
متن کاملAN ADAPTIVE WAVELET SOLUTION TO GENERALIZED STOKES PROBLEM
In this paper we will present an adaptive wavelet scheme to solvethe generalized Stokes problem. Using divergence free wavelets, theproblem is transformed into an equivalent matrix vector system, thatleads to a positive definite system of reduced size for thevelocity. This system is solved iteratively, where the applicationof the infinite stiffness matrix, that is sufficiently compressible,is r...
متن کاملWavelet-based analysis of transient electromagnetic wave propagation in photonic crystals.
Photonic crystals and optical bandgap structures, which facilitate high-precision control of electromagnetic-field propagation, are gaining ever-increasing attention in both scientific and commercial applications. One common photonic device is the distributed Bragg reflector (DBR), which exhibits high reflectivity at certain frequencies. Analysis of the transient interaction of an electromagnet...
متن کاملAdaptive Multiscale Moment Method (AMMM) for Analysis of Scattering From Three-Dimensional Perfectly Conducting Structures
Adaptive multiscale moment method (AMMM) is presented for the analysis of scattering from three-dimensional (3-D) perfectly conducting bodies. This algorithm employs the conventional moment method (MM) using the subsectional triangular patch basis functions and a special matrix transformation, which is derived from solving the Fredholm equation of the first kind by the multiscale technique. Thi...
متن کاملImage Compression Method Based on QR-Wavelet Transformation
In this paper, a procedure is reported that discuss how linear algebra can be used in image compression. The basic idea is that each image can be represented as a matrix. We apply linear algebra (QR factorization and wavelet transformation algorithms) on this matrix and get a reduced matrix out such that the image corresponding to this reduced matrix requires much less storage space than th...
متن کامل