Eigenvectors and eigenvalues are numbers and vectors associated to square matrices, and together they provide the eigen-decomposition of a matrix which analyzes the structure of this matrix. Even though the eigen-decomposition does not exist for all square matrices, it has a particularly simple expression for a class of matrices often used in multivariate analysis such as correlation, covarianc...

Water-filling is the power allocation that maximizes the parallel-channel eigen-MIMO informationtheoretic capacity. However, for practical designs, designing for error performance is also important. The overall uncoded error rate, in a system with water-filled eigen-channels using digital modulation, degrades through the errors in the data that uses the weaker eigen-channels. This is because in...

Aljabar max-plus adalah suatu struktur aljabar yang dilengkapi dengan operasi maksimum dan penjumlahan. Diantara beberapa masalah pada menentukan nilai eigen vektor matriks atas max-plus. Nilai dapat diterapkan dalam keperiodikan sistem antrian. Dalam tulisan ini akan dibahas penentuan eigen, serta aplikasinya keperidikan dicari berdasarkan bobot rata-rata sirkuit elementer graf terkait digunak...

Free probability provides tools and techniques for studying the spectra of large Hermitian random matrices. These stochastic eigen-analysis techniques have been invaluable in providing insight into the structure of sample covariance matrices. We briefly outline how these techniques can be used to analytically predict the spectrum of large sample covariance matrices. We discuss how these eigen-a...

We present a new method for unsupervised, fast speaker adaptation that combines the Eigen-MLLR transform approach with discriminative MLLR. We thereby aim to profit both from the performance improvements that are generally provided by a discriminative approach, and from the reliability that Eigen-MLLR has demonstrated in fast adaptation scenarios. We present first evaluation results on the Spok...

This paper describes a method of fingerprint classification using Eigen Block Directional Fingerprints. The method we propose dispenses off with the preprocessing stages such as segmentation, binarisation, thinning etc. We determine the block directional representation of a fingerprint and the location of the core points in a set of template fingerprints which belong to the same class. In the n...

In [1] a method of decomposing a 3D wave field into spherical harmonics (’eigen-beams’) by using spherical microphone arrays was introduced. It was further shown how the eigen-beams can be used for beamforming applications by means of a modal beamformer structure. This paper introduces a method for the unambiguous localization of multiple wideband acoustic sources in 3D space using the eigen-be...