Optimal interpolation of translation operator in multilevel fast multipole algorithm

Download

index.pdf

Date

2006-12-01

Author

Ergül, Özgür Salih

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

25
views

0
downloads

Lagrange interpolation of the translation operator in the three-dimensional multilevel fast multipole algorithm (MLFMA) is revisited. Parameters of the interpolation, namely, the number of interpolation points and the oversampling factor, are optimized for controllable error. Via optimization, it becomes possible to obtain the desired level of accuracy with the minimum processing time.

Subject Keywords

Electrical and Electronic Engineering

URI

https://hdl.handle.net/11511/35737

Journal

IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION

DOI

https://doi.org/10.1109/tap.2006.886562

Collections

Department of Electrical and Electronics Engineering, Article

Suggestions

OpenMETU
Core

Enhancing the accuracy of the interpolations and anterpolations in MLFMA Ergül, Özgür Salih (Institute of Electrical and Electronics Engineers (IEEE), 2006-01-01) We present an efficient technique to reduce the interpolation and anterpolation (transpose interpolation) errors in the aggregation and disaggregation processes of the multilevel fast multipole algorithm (MLFMA), which is based on the sampling of the radiated and incoming fields over all possible solid angles, i.e., all directions on the sphere. The fields sampled on the sphere are subject to various operations, such as interpolation, aggregation, translation, disaggregation, anterpolation, and integration....
HMM topology for boundary refinement in automatic speech segmentation Akdemir, E.; Çiloğlu, Tolga (Institution of Engineering and Technology (IET), 2010-07-22) A boundary refinement method using a new hidden Markov model (HMM) topology is proposed for automatic phonetic speech segmentation. The proposed method has the ability to work at high frame rates and the training and boundary refinement stages are easy and fast. The method is data driven and can be adapted to any speech segmentation problem provided that a training set is available. Given an initial segmentation obtained by forced alignment using an HMM based phone recogniser, 20% decrease in boundary error...
Hierarchical parallelisation strategy for multilevel fast multipole algorithm in computational electromagnetics Ergül, Özgür Salih (Institution of Engineering and Technology (IET), 2008-01-03) A hierarchical parallelisation of the multilevel fast multipole algorithm (MLFMA) for the efficient solution of large-scale problems in computational electromagnetics is presented. The tree structure of MLFMA is distributed among the processors by partitioning both the clusters and the samples of the fields appropriately for each level. The parallelisation efficiency is significantly improved compared to previous approaches, where only the clusters or only the fields are partitioned in a level.
Efficient parallelization of the multilevel fast multipole algorithm for the solution of large-scale scattering problems Ergül, Özgür Salih (Institute of Electrical and Electronics Engineers (IEEE), 2008-08-01) We present fast and accurate solutions of large-scale scattering problems involving three-dimensional closed conductors with arbitrary shapes using the multilevel fast multipole algorithm (MLFMA). With an efficient parallelization of MLFMA, scattering problems that are discretized with tens of millions of unknowns are easily solved on a cluster of computers. We extensively investigate the parallelization of MLFMA, identify the bottlenecks, and provide remedial procedures to improve the efficiency of the imp...
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.

Citation Formats

Ö. S. Ergül, “Optimal interpolation of translation operator in multilevel fast multipole algorithm,” IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, pp. 3822–3826, 2006, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/35737.