Binary signed digit representation （BSD-R） of an integer is widely used in computer arithmetic, cryptography and digital signal processing. This paper studies what the exact number of optimal BSD-R of an integer is ...Binary signed digit representation （BSD-R） of an integer is widely used in computer arithmetic, cryptography and digital signal processing. This paper studies what the exact number of optimal BSD-R of an integer is and how to generate them entirely. We also show which kinds of integers have the maximum number of optimal BSD-Rs.展开更多
Based on the Cayley-Hamilton theorem and fixed-point method,we provide an elementary proof for the representation theorem of analytic isotropic tensor functions of a second-order tensor in a three-dimensional(3D)inner...Based on the Cayley-Hamilton theorem and fixed-point method,we provide an elementary proof for the representation theorem of analytic isotropic tensor functions of a second-order tensor in a three-dimensional(3D)inner-product space,which avoids introducing the generating function and Taylor series expansion.The proof is also extended to any finite-dimensional inner-product space.展开更多
The paper examines a particular aspect of the way semiosis models complex anthroposemiotic activity as exemplified by the "persuasion path" implicit in any source or origin of intentional influence in human ...The paper examines a particular aspect of the way semiosis models complex anthroposemiotic activity as exemplified by the "persuasion path" implicit in any source or origin of intentional influence in human communication.Now,in theory,we should be able to account for every stage in the process of semiosis,and this ability has a bearing on the way signs are to be classified according to the nature of their immediate objects.The topic is a pretext,consequently,for exploring the stages in semiosis from the dynamic object to the sign via the immediate object in selected pictorial examples of purpose and intentionality in semiosis,since,to be understood successfully—indeed,to function at all—any such persuasive or influential activity depends upon the formal organisation of its representation.The paper thus presents one possible explanation of the role of the immediate object in cases of evident intentionality.However,in view of the fact that Peirce never developed a clear idea of semiosis,it is necessarily speculative and abductive.展开更多
In this paper, we present a novel and efficient method for the design of a sharp, two dimensional (2D) wideband, circularly symmetric, FIR filter. First of all, a sharp one dimensional (1D) infinite precision FIR filt...In this paper, we present a novel and efficient method for the design of a sharp, two dimensional (2D) wideband, circularly symmetric, FIR filter. First of all, a sharp one dimensional (1D) infinite precision FIR filter is designed using the Frequency Response Masking (FRM) technique. This filter is converted into a multiplier-less filter by representing it in the Canonic Signed Digit (CSD) space. The design of the FRM filter in the CSD space calls for the use of a discrete optimization technique. To this end, a new optimization approach is proposed using a modified Harmony Search Algorithm (HSA). HSA is modified in such a way that, in every exploitation and exploration phase, the candidate solutions turns out to be integers. The 1D FRM multiplier-less filter, is in turn transformed to the 2D equivalent using the recently proposed multiplier-less transformations namely, T1 and T2. These transformations are successful in generating circular contours even for wideband filters. Since multipliers are the most power consuming elements in a 2D filter, the multiplier-less realization calls for reduced power consumption as well as computation time. Significant reduction in the computational complexity and computation time are the highlights of our proposed design technique. Besides, the proposed discrete optimization using modified HSA can be used to solve optimization problems in other engineering disciplines, where the search space consists of integers.展开更多
基金Supported by Chinese National Basic Research Program(2007CB807902)
文摘Binary signed digit representation （BSD-R） of an integer is widely used in computer arithmetic, cryptography and digital signal processing. This paper studies what the exact number of optimal BSD-R of an integer is and how to generate them entirely. We also show which kinds of integers have the maximum number of optimal BSD-Rs.
文摘Based on the Cayley-Hamilton theorem and fixed-point method,we provide an elementary proof for the representation theorem of analytic isotropic tensor functions of a second-order tensor in a three-dimensional(3D)inner-product space,which avoids introducing the generating function and Taylor series expansion.The proof is also extended to any finite-dimensional inner-product space.
文摘The paper examines a particular aspect of the way semiosis models complex anthroposemiotic activity as exemplified by the "persuasion path" implicit in any source or origin of intentional influence in human communication.Now,in theory,we should be able to account for every stage in the process of semiosis,and this ability has a bearing on the way signs are to be classified according to the nature of their immediate objects.The topic is a pretext,consequently,for exploring the stages in semiosis from the dynamic object to the sign via the immediate object in selected pictorial examples of purpose and intentionality in semiosis,since,to be understood successfully—indeed,to function at all—any such persuasive or influential activity depends upon the formal organisation of its representation.The paper thus presents one possible explanation of the role of the immediate object in cases of evident intentionality.However,in view of the fact that Peirce never developed a clear idea of semiosis,it is necessarily speculative and abductive.
文摘In this paper, we present a novel and efficient method for the design of a sharp, two dimensional (2D) wideband, circularly symmetric, FIR filter. First of all, a sharp one dimensional (1D) infinite precision FIR filter is designed using the Frequency Response Masking (FRM) technique. This filter is converted into a multiplier-less filter by representing it in the Canonic Signed Digit (CSD) space. The design of the FRM filter in the CSD space calls for the use of a discrete optimization technique. To this end, a new optimization approach is proposed using a modified Harmony Search Algorithm (HSA). HSA is modified in such a way that, in every exploitation and exploration phase, the candidate solutions turns out to be integers. The 1D FRM multiplier-less filter, is in turn transformed to the 2D equivalent using the recently proposed multiplier-less transformations namely, T1 and T2. These transformations are successful in generating circular contours even for wideband filters. Since multipliers are the most power consuming elements in a 2D filter, the multiplier-less realization calls for reduced power consumption as well as computation time. Significant reduction in the computational complexity and computation time are the highlights of our proposed design technique. Besides, the proposed discrete optimization using modified HSA can be used to solve optimization problems in other engineering disciplines, where the search space consists of integers.
