Exact minimization of large fixed polarity dual form of reed-muller functions
Journal Article
Yang, M., Xu, H., Wang, L. Y., Tong, J. R., & Almaini, A. E. A. (2007)
Exact minimization of large fixed polarity dual form of reed-muller functions. Solid-State and Integrated Circuit Technology, 1931-1933. https://doi.org/10.1109/ICSICT.2006.306532
Dual form of Reed-Muller (DFRM) expansions are implemented in OX/XNOR logic, which are based on the features of coincidence operation and are known as fixed polarity Canonical...
Dynamic response simulation for a nonlinear system.
Journal Article
Roberts, D., & Hay, N. (2005)
Dynamic response simulation for a nonlinear system. Journal of sound and vibration, 281(3-5), (783-798). doi:10.1016/j.jsv.2004.02.016. ISSN 1095-8568
Laboratory simulation testing has for many years contributed significantly to the durability and quality of motor vehicles. Most sophisticated test rigs use an iterative algor...
On a representation of vector continued fractions.
Journal Article
Roberts, D. E. (1999)
On a representation of vector continued fractions. Journal of Computational and Applied Mathematics, 105(1-2), (453-466). doi:10.1016/S0377-0427(99)00034-5. ISSN 0377-0427
Vector Pade approximants to power series with vector coefficients may be calculated using the three-term recurrence relations of vector continued fractions
if formulated in th...
Modulo correlativity and its application in a multiple valued logic system.
Journal Article
Wang, L. Y., Chen, X. & Almaini, A. E. A. (1998)
Modulo correlativity and its application in a multiple valued logic system. International Journal of Electronics. 85, 561-570. doi:10.1080/002072198133851. ISSN 0020-7217
Several new concepts such as pseudoprime and correlativity, are presented. Then modulo subtraction and modulo division, which are very useful in computing the canonical expans...
Algebraic properties of multiple-valued modulo systems and their applications to current-mode CMOS circuits.
Journal Article
Wang, L. Y., Chen, X. & Almaini, A. E. A. (1998)
Algebraic properties of multiple-valued modulo systems and their applications to current-mode CMOS circuits. IEE proceedings. Computers and digital techniques. 145, 364-368. doi:10.1049/ip-cdt:19982204. ISSN 1350-2387
The paper presents the concepts of pseudoprime and modulo correlativity and establishes the relationships among completeness of modulo operations, uniqueness of solution of eq...
A vector Chebysev algorithm.
Journal Article
Roberts, D. (1998)
A vector Chebysev algorithm. Numerical Algorithms, 17(1/2), (33-50). doi:10.1023/A:1011633327892. ISSN 1017-1398
We consider polynomials orthogonal relative to a sequence of vectors and derive their recurrence relations within the framework of Clifford algebras. We state sufficient condi...
On a vector q-d algorithm.
Journal Article
Roberts, D. (1998)
On a vector q-d algorithm. Advances in computational mathematics, 8(3), (193-219). doi:10.1023/A:1018944213562. ISSN 1019-7168
Using the framework provided by Clifford algebras, we consider a noncommutative quotient-difference algorithm for obtaining the elements of a continued fraction corresponding ...