[PDF][PDF] Complex Hadamard matrices and applications

T Banica - 2021 - hal.science
A complex Hadamard matrix is a square matrix H∈ MN (C) whose entries are on the unit
circle,| Hij|= 1, and whose rows and pairwise orthogonal. The main example is the Fourier …

Generalized Sylvester-type Hadamard matrices

JS No, HY Song - … Symposium on Information Theory (Cat. No …, 2000 - ieeexplore.ieee.org
In this paper, we generalize Sylvester's construction for (generalized) Hadamard matrices in
such a way that m matrices B/sub 1/, B/sub 2/,..., B/sub m/(not necessarily distinct) of the …

2023—A twofold commemoration: the 100th birthday of Walsh functions and the 50th anniversary of Professor Joseph Leonard Walsh's death

PL Butzer, F Pichler, F Schipp, RS Stanković… - Sampling Theory, Signal …, 2024 - Springer
In 2023, it is 100 years after the introduction of Walsh functions and 50 years after the death
of their introducer Joseph Leonard Walsh. This paper is an homage to JL Walsh and …

Complex composite spectra of unified complex Hadamard transform for logic functions

S Rahardja, BJ Falkowski - … on Circuits and Systems II: Analog …, 2000 - ieeexplore.ieee.org
A method to evaluate the Unified Complex Hadamard spectra of AND, OR, and XOR for
Boolean functions, directly from the spectra of the functions, is presented. The results are …

Fixed-pipeline two-dimensional Hadamard transform algorithms

CP Fan, JF Yang - IEEE transactions on signal processing, 1997 - dl.acm.org
Fixed-Pipeline Two-Dimensional Hadamard Transform Algorithms | IEEE Transactions on
Signal Processing skip to main content ACM Digital Library home ACM home Google, Inc. (search) …

[PDF][PDF] New duality operator for complex circulant matrices and a conjecture of Ryser

LH Gallardo - The Electronic Journal of Combinatorics, 2016 - emis.de
We associate to any given circulant complex matrix $ C $ another one $ E (C) $ such that $
E (E (C))= C^{*} $ the transpose conjugate of $ C. $ All circulant Hadamard matrices of order …

[HTML][HTML] Almost Hadamard matrices: the case of arbitrary exponents

T Banica, I Nechita - Discrete Applied Mathematics, 2013 - Elsevier
A square matrix H∈ MN (R) is called “almost Hadamard” if U= H/N is orthogonal, and locally
maximizes the 1-norm on O (N). We review our previous work on the subject, notably with …

General lower bounds on maximal determinants of binary matrices

RP Brent, JH Osborn - arXiv preprint arXiv:1208.1805, 2012 - arxiv.org
We give general lower bounds on the maximal determinant of n by n {+ 1,-1}-matrices, both
with and without the assumption of the Hadamard conjecture. Our bounds improve on earlier …

Active addressingTM of STN displays for high-performance video applications

TJ Scheffer, B Clifton, D Prince, AR Conner - Displays, 1993 - Elsevier
Active Addressing TM is a new electronic drive technique that makes it possible for fast-
responding supertwisted nematic (STN) LCDs to deliver full-motion video images without …

A generalized approach to modal filtering for active noise control. I. Vibration sensing

NC Burgan, SD Snyder, N Tanaka… - IEEE Sensors …, 2002 - ieeexplore.ieee.org
Many techniques for controlling the noise radiated by large structures require a large
number of inputs to the controller to produce global attenuation. Unfortunately, processing …