Results 211 to 220 of about 122,015 (230)

Polynomial expansions over GF(3)based on fastest transformation

33rd International Symposium on Multiple-Valued Logic, 2003. Proceedings., 2004
A new fastest Linearly Independent (LI) transforms over GF(3) and its corresponding polynomial expansions have been introduced. The number of required additions and multiplications in new LI transform is advantageous when compared with ternary Reed-Muller transform, which was previously known as the most efficient transform over GF(3).
Bogdan J. Falkowski, Cheng Fu 0001
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SAR Tomographic Imaging Demonstration Using GF-3 Data

IGARSS 2019 - 2019 IEEE International Geoscience and Remote Sensing Symposium, 2019
Synthetic aperture radar (SAR) tomography (TomoSAR) is well established for three-dimensional (3D) reconstruction in urban buildings. There are many methods usually require a large data stacks for a reliable reconstruction and very few methods to handle small data stacks.
Hongliang Lu, Yunkai Deng, Heng Zhang 0007, Weidong Yu, Robert Wang 0001   +4 more
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CLASSIFICATION OF NEW LINEARLY INDEPENDENT TRANSFORMS OVER GF(3)

Journal of Circuits, Systems and Computers, 2005
New classes of ternary linearly independent transforms as the bases of ternary polynomial expansions over GF(3) are introduced here. Recursive equations defining the linearly independent transforms and their corresponding butterfly diagrams are shown.
Bogdan J. Falkowski, Cheng Fu 0001
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Fastest linearly independent arithmetic transforms over GF(3)

2003 IEEE International Conference on Acoustics, Speech, and Signal Processing, 2003. Proceedings. (ICASSP '03)., 2003
In this paper, the family of fastest ternary linearly independent arithmetic transforms, which possesses forward and inverse butterfly diagrams with lowest computational complexity have been identified. This family is recursively defined and has consistent formulas relating forward and inverse transform matrices.
Bogdan J. Falkowski, Cheng Fu 0001
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Marine targets detection using GF-3 SAR data

2017 IEEE International Geoscience and Remote Sensing Symposium (IGARSS), 2017
In this letter, we present a business process flow of marine target detection using GF-3 SAR data. It includes 12 kinds of imaging modes and 3 types of polarization. The detection method for the single polarization data is a Double-Parameter Constant False Alarm Ratio (DP-CFAR) algorithm.
Peng Chen 0019, Jingsong Yang, Juan Wang 0009   +2 more
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Hardware Accelerator for Generating Primitive Polynomials over GF(3)

2011 21st International Conference on Systems Engineering, 2011
The paper presents a hardware accelerator that could be used to generate irreducible primitive polynomials with coefficients over GF(3). The process of generating a primitive polynomial is done by replicating the other primitive polynomial which is fixed in the device.
Grzegorz Borowik, Andrzej Paszkiewicz
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Linearly independent helix transforms over GF(3)

The 2004 IEEE Asia-Pacific Conference on Circuits and Systems, 2004. Proceedings., 2005
New classes of linearly independent ternary transforms over Galois Field (3) called linearly independent helix transforms are introduced here. Four types of such helix transform matrices with detailed recursive equations are described. Various properties of helix transform matrices, their mutual relations and special cases for selected temary logic ...
null Cheng Fu, B.J. Falkowski
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Self-Dual Codes over ${\text{GF}}( 3 )$

SIAM Journal on Applied Mathematics, 1976
This paper studies self-dual and maximal self-orthogonal codes over ${\text{GF}}( 3 )$. First, a number of Gleason-type theorems are given, describing the weight enumerators of such codes. Second, a table of all such codes of length $\leqq 12$ is constructed.
C. L. Mallows, V. Pless, N. J. A. Sloane
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Multi-polarity helix transform over GF(3)

2004 IEEE International Symposium on Circuits and Systems (IEEE Cat. No.04CH37512), 2004
In this paper, the multi-polarity helix transform for ternary logic functions has been introduced. In addition, an extended dual polarity property that had been used to optimize Kronecker and quaternary fixed-polarity Reed-Muller (FPRM) expressions has been applied to calculate efficiently this new multi-polarity helix transform over GF(3).
null Cheng Fu, B.J. Falkowski
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?????????????????? ?? ???????????????? ?????????? ?????????????????? ?????????????? ??????????????????? ???????????????????? ?????????????? ???????????????? ???????????????????? ?????????????? ?????? ?????????? GF(3)

2010
Two theorems on the conditions of existence of the unique solution depending on intervals of the distribution of coefficients of the system are proved for a homogeneous system of linear random equations over the field GF(3).
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