The polynomial matrix EVD (PEVD) is an extension of the conventional eigenvalue
decomposition (EVD) to polynomial matrices. The purpose of this article is to provide a …

An algorithm for computing the eigenvalue decomposition of a para-Hermitian polynomial
matrix is described. This amounts to diagonalizing the polynomial matrix by means of a …

If a one-dimensional quantum lattice system is subject to one step of a reversible discrete-
time dynamics, it is intuitive that as much “quantum information” as moves into any given …

Novel factorizations for 8-and 6-channel linear-phase paraunitary filter banks are presented,
which are aimed at finite-precision implementation. Using quaternion multipliers as essential …

本书采用直观的方式, 从数学和信号处理相结合的角度, 系统叙述了小波与离散变换的理论和
新型算法设计及其应用, 使读者能够透过小波理论建立过程中出现的复杂数学表达式领悟到其 …

If people do not believe that mathematics is simple, it is only because they do not realize
how complicated life is.—John von Neumann While this is a course in analysis, our …

We study the asymptotic position distribution of general quantum walks on a lattice,
including walks with a random coin, which is chosen from step to step by a general Markov …

Parauninary linear-phase (PULP) M-channel uniform filterbanks, which are also known as
the generalized lapped orthogonal transforms (GenLOTs), can be designed and …

In this paper, a new algorithm for calculating the QR decomposition (QRD) of a polynomial
matrix is introduced. This algorithm amounts to transforming a polynomial matrix to upper …

Omnidirectional space-time coding has been proposed recently for massive multiple-input
multiple-output (MIMO) systems to broadcast common information. In these systems, signals …