This paper investigates logical stochastic resonance(LSR)in a cross-bifurcation non-smooth system driven by Gaussian colored noise.In this system,a bifurcation parameter triggers a transition between monostability,bis...This paper investigates logical stochastic resonance(LSR)in a cross-bifurcation non-smooth system driven by Gaussian colored noise.In this system,a bifurcation parameter triggers a transition between monostability,bistability and tristability.By using Novikov's theorem and the unified colored noise approximation method,the approximate Fokker-Planck equation is obtained.Then we derive the generalized potential function and the transition rates to analyze the LSR phenomenon using numerical simulations.We simulate the logic operation of the system in the bistable and tristable regions respectively.We assess the impact of Gaussian colored noise on the LSR and discover that the reliability of the logic response depends on the noise strength and the bifurcation parameter.Furthermore,it is found that the bistable region has a more extensive parameter range to produce reliable logic operation compared with the tristable region,since the tristable region is more sensitive to noise than the bistable one.展开更多
There exists an optimal range of intensity of a chaotic force in which the behavior of a chaos-driven bistable system with two weak inputs can be consistently mapped to a specific logic output. This phenomenon is call...There exists an optimal range of intensity of a chaotic force in which the behavior of a chaos-driven bistable system with two weak inputs can be consistently mapped to a specific logic output. This phenomenon is called logical chaotic resonance(LCR). However, realization of a reliable exclusive disjunction(XOR) through LCR has not been reported.Here, we explore the possibility of using chaos to enhance the reliability of XOR logic operation in a triple-well potential system via LCR. The success probability P of obtaining XOR logic operation can take the maximum value of 1 in an optimal window of intensity D of a chaotic force. Namely, success probability P displays characteristic bell-shaped behavior by altering the intensity of the chaotic driving force, indicating the occurrence of LCR. Further, the effects of periodic force on LCR have been investigated. For a subthreshold chaotic force, a periodic force with appropriate amplitude and frequency can help enhance the reliability of XOR logic operation. Thus, LCR can be effectively regulated by changing the amplitude and frequency of the periodic force.展开更多
For all-optical communication and information processing,it is necessary to develop all-optical logic gates based on photonic structures that can directly perform logic operations.All-optical logic gates have been dem...For all-optical communication and information processing,it is necessary to develop all-optical logic gates based on photonic structures that can directly perform logic operations.All-optical logic gates have been demonstrated based on conventional waveguides and interferometry,as well as photonic crystal structures.Nonetheless,any defects in those structures will introduce high scattering loss,which compromises the fidelity and contrast ratio of the information process.Based on the spin-valley locking effect that can achieve defect-immune unidirectional transmission of topological edge states in valley photonic crystals(VPCs),we propose a high-performance all-optical logic OR gate based on a VPC structure.By tuning the working bandwidth of the two input channels,we prevent interference between the two channels to achieve a stable and high-fidelity output.The transmittance of both channels is higher than 0.8,and a high contrast ratio of 28.8 dB is achieved.Moreover,the chirality of the logic gate originated from the spin-valley locking effect allows using different circularly polarized light as inputs,representing“1”or“0”,which is highly desired in quantum computing.The device’s footprint is 18μm×12μm,allowing high-density on-chip integration.In addition,this design can be experimentally fabricated using current nanofabrication techniques and will have potential applications in optical communication,information processing,and quantum computing.展开更多
This paper proposes a Fuzzy Neural Network (FNN) model, which uses a propagation algorithm. A logical operation is defined by a set of weights which are independent of inputs. The realization of the basic And,Or and N...This paper proposes a Fuzzy Neural Network (FNN) model, which uses a propagation algorithm. A logical operation is defined by a set of weights which are independent of inputs. The realization of the basic And,Or and Negation fuzzy logical operations is shown by the fuzzy neuron. A example in fault diagnosis is put forward and the result witnesses some effectiveness of the new FNN model.展开更多
The cascade of reversible logic gate network with n inputs and n outputs forms a group isomorphic to the symmetric group S2^n. Characteristics of a number of gates from the set of all generalized Toffoli gates are stu...The cascade of reversible logic gate network with n inputs and n outputs forms a group isomorphic to the symmetric group S2^n. Characteristics of a number of gates from the set of all generalized Toffoli gates are studied. Any permutation Sn is proved to be generated by a n-cycle 9 and a permutation τ= （ij,ik） together. It shows that any neighboring 2-cycle permutation can be generated by at most two NOT gates without ancilla bit. Based on the above theory, a cascade algorithm for reversible logic gate networks is proposed. A reversible example of logic gate network cascade is given to show the correctness of the algorithm.展开更多
In this paper, the author analyzed some cryptographic properties of a class of logical functions, f(x,y)=(q(x),...,q(x))·y+h(x),over Galois rings and residue rings, presented the relationship between the characte...In this paper, the author analyzed some cryptographic properties of a class of logical functions, f(x,y)=(q(x),...,q(x))·y+h(x),over Galois rings and residue rings, presented the relationship between the character spectrum of f(x,y) and the character speetrum of q(x),h(x) and the relationship between the cryptographic properties of f(x,y) and the cryptographic properties of h(x).展开更多
A multi-valued logic system is a promising alternative to traditional binary logic because it can reduce the complexity,power consumption, and area of circuit implementation. This article briefly summarizes the develo...A multi-valued logic system is a promising alternative to traditional binary logic because it can reduce the complexity,power consumption, and area of circuit implementation. This article briefly summarizes the development of ternary logic and its advantages in digital logic circuits. The schemes, characteristics, and application of ternary logic circuits based on CMOS, CNTFET, memristor, and other devices and processes are reviewed in this paper, providing some reference for the further research and development of ternary logic circuits.展开更多
A soitable data model and data structure make underground survey objects maintained and operated easier. This paper gives a formal definition for underground survey objects. By making use of the quotient topological s...A soitable data model and data structure make underground survey objects maintained and operated easier. This paper gives a formal definition for underground survey objects. By making use of the quotient topological space, the author studies the logical relations among underground survey objects, a partiallyordered space uuder some conditions. An example is given to show the data model’s possible applications.展开更多
The phenomenon of logical stochastic resonance （LSR） in a nonlinear bistable system is demonstrated by numerical simulations and experiments. However, the bit rates of the logical signals are relatively low and not ...The phenomenon of logical stochastic resonance （LSR） in a nonlinear bistable system is demonstrated by numerical simulations and experiments. However, the bit rates of the logical signals are relatively low and not suitable for practical applications. First, we examine the responses of the bistable system with fixed parameters to different bit rate logic input signals, showing that an arbitrary high bit rate LSR in a bistable system cannot be achieved. Then, a normalized transform of the LSR bistable system is introduced through a kind of variable substitution. Based on the transform, it is found that LSR for arbitrary high bit rate logic signals in a bistable system can be achieved by adjusting the parameters of the system, setting bias value and amplifying the amplitudes of logic input signals and noise properly. Finally, the desired OR and AND logic outputs to high bit rate logic inputs in a bistable system are obtained by numerical simulations. The study might provide higher feasibility of LSR in practical engineering applications.展开更多
This paper aims to critique Robert Bley-Vroman's views on accessibility to UG. In paper "what is the logical problem of foreign language learning?" Robert Bley-Vroman puts forward the famous fundamental ...This paper aims to critique Robert Bley-Vroman's views on accessibility to UG. In paper "what is the logical problem of foreign language learning?" Robert Bley-Vroman puts forward the famous fundamental difference hypothesis. Robert Bley-Vroman thinks that child first language learning is quite different from adult foreign language learning. In this paper author's view is different from Robert Bley-Vroman's. Author thinks the innate system that guides child acquisition also operates in adult foreign language learning.展开更多
In order to improve the performance of arithmetic very large-scale integration （VLSI） sys- tem, a novel structure of quaternary logic gates is proposed based on multiple-valued current mode （MVCM） by using dynamic...In order to improve the performance of arithmetic very large-scale integration （VLSI） sys- tem, a novel structure of quaternary logic gates is proposed based on multiple-valued current mode （MVCM） by using dynamic source-coupled logic （SCL）. Its key components, the comparator and the output generator are both based on differential-pair circuit （DPC）, and the latter is constructed by using the structure of DPC trees. The pre-charge evaluates logic style makes a steady current flow cut off, thereby greatly saving the power dissipation. The combination of multiple-valued source- coupled logic and differential-pair circuit makes it lower power consumption and more compact. The performance is evaluated by HSPICE simulation with 0.18 ~m CMOS technology. The power dissipa- tion, transistor numbers and delay are superior to corresponding binary CMOS implementation. Mul- tiple-valued logic will be the potential solution for the high performance arithmetic VLSI system in the future.展开更多
Memristive stateful logic is one of the most promising candidates to implement an in-memory computing system that computes within the storage unit.It can eliminate the costs for the data movement in the traditional vo...Memristive stateful logic is one of the most promising candidates to implement an in-memory computing system that computes within the storage unit.It can eliminate the costs for the data movement in the traditional von Neumann system.However,the instability in the memristors is inevitable due to the limitation of the current fabrication technology,which incurs a great challenge for the reliability of the memristive stateful logic.In this paper,the implication of device instability on the reliability of the logic event is simulated.The mathematical relationship between logic reliability and redundancy has been deduced.By combining the mathematical relationship with the vector-matrix multiplication in a memristive crossbar array,the logic error correction scheme with high throughput has been proposed.Moreover,a universal design paradigm has been put forward for complex logic.And the circuit schematic and the flow of the scheme have been raised.Finally,a 1-bit full adder(FA)based on the NOR logic and NOT logic is simulated and the mathematical evaluation is performed.It demonstrates the scheme can improve the reliability of the logic significantly.And compared with other four error corrections,the scheme which can be suitable for all kinds of R–R logics and V–R logics has the best universality and throughput.Compared with the other two approaches which also need additional complementary metal–oxide semiconductor(CMOS)circuits,it needs fewer transistors and cycles for the error correction.展开更多
A fuzzy model was presented to predict the weldment shape profile of submerged arc welds （SAW） including the shape of heat affected zone （HAZ）. The SAW bead-on-plates were welded by following a full factorial desi...A fuzzy model was presented to predict the weldment shape profile of submerged arc welds （SAW） including the shape of heat affected zone （HAZ）. The SAW bead-on-plates were welded by following a full factorial design matrix. The design matrix consisted of three levels of input welding process parameters. The welds were cross-sectioned and etched, and the zones were measured. A mapping technique was used to measure the various segments of the weld zones. These mapped zones were used to build a fuzzy logic model. The membership functions of the fuzzy model were chosen for the accurate prediction of the weld zone. The fuzzy model was further tested for a set of test case data. The weld zone predicted by the fuzzy logic model was compared with the experimentally obtained shape profiles and close agreement between the two was noted. The mapping technique developed for the weld zones and the fuzzy logiemodel earl be used for on-line control of the SAW process. From the SAW fuzzy logic model an estimation of the fusion and HAZ can also be developed.展开更多
基金Project supported by the National Natural Science Foundation of China(Grant No.12072262)the Shaanxi Computer Society&Xiangteng Company Foundation.
文摘This paper investigates logical stochastic resonance(LSR)in a cross-bifurcation non-smooth system driven by Gaussian colored noise.In this system,a bifurcation parameter triggers a transition between monostability,bistability and tristability.By using Novikov's theorem and the unified colored noise approximation method,the approximate Fokker-Planck equation is obtained.Then we derive the generalized potential function and the transition rates to analyze the LSR phenomenon using numerical simulations.We simulate the logic operation of the system in the bistable and tristable regions respectively.We assess the impact of Gaussian colored noise on the LSR and discover that the reliability of the logic response depends on the noise strength and the bifurcation parameter.Furthermore,it is found that the bistable region has a more extensive parameter range to produce reliable logic operation compared with the tristable region,since the tristable region is more sensitive to noise than the bistable one.
基金supported by the Technology Innovation Team Program in Higher Education Institutions in Hubei Province, China (Grant No. T2020039)。
文摘There exists an optimal range of intensity of a chaotic force in which the behavior of a chaos-driven bistable system with two weak inputs can be consistently mapped to a specific logic output. This phenomenon is called logical chaotic resonance(LCR). However, realization of a reliable exclusive disjunction(XOR) through LCR has not been reported.Here, we explore the possibility of using chaos to enhance the reliability of XOR logic operation in a triple-well potential system via LCR. The success probability P of obtaining XOR logic operation can take the maximum value of 1 in an optimal window of intensity D of a chaotic force. Namely, success probability P displays characteristic bell-shaped behavior by altering the intensity of the chaotic driving force, indicating the occurrence of LCR. Further, the effects of periodic force on LCR have been investigated. For a subthreshold chaotic force, a periodic force with appropriate amplitude and frequency can help enhance the reliability of XOR logic operation. Thus, LCR can be effectively regulated by changing the amplitude and frequency of the periodic force.
基金Project supported by the National Key Research and Development Program of the Ministry of Science and Technology of China(Grant No.2022YFA1404201)the National Natural Science Foundation of China(Grant No.11904255)the Key Research and Development Program of Shanxi Province(International Cooperation)(Grant No.201903D421052).
文摘For all-optical communication and information processing,it is necessary to develop all-optical logic gates based on photonic structures that can directly perform logic operations.All-optical logic gates have been demonstrated based on conventional waveguides and interferometry,as well as photonic crystal structures.Nonetheless,any defects in those structures will introduce high scattering loss,which compromises the fidelity and contrast ratio of the information process.Based on the spin-valley locking effect that can achieve defect-immune unidirectional transmission of topological edge states in valley photonic crystals(VPCs),we propose a high-performance all-optical logic OR gate based on a VPC structure.By tuning the working bandwidth of the two input channels,we prevent interference between the two channels to achieve a stable and high-fidelity output.The transmittance of both channels is higher than 0.8,and a high contrast ratio of 28.8 dB is achieved.Moreover,the chirality of the logic gate originated from the spin-valley locking effect allows using different circularly polarized light as inputs,representing“1”or“0”,which is highly desired in quantum computing.The device’s footprint is 18μm×12μm,allowing high-density on-chip integration.In addition,this design can be experimentally fabricated using current nanofabrication techniques and will have potential applications in optical communication,information processing,and quantum computing.
文摘This paper proposes a Fuzzy Neural Network (FNN) model, which uses a propagation algorithm. A logical operation is defined by a set of weights which are independent of inputs. The realization of the basic And,Or and Negation fuzzy logical operations is shown by the fuzzy neuron. A example in fault diagnosis is put forward and the result witnesses some effectiveness of the new FNN model.
基金the National Natural Science Foundation of China(60673127)the National High Technology Research and Development Program of China(863Program)(2007AA01Z404)~~
文摘The cascade of reversible logic gate network with n inputs and n outputs forms a group isomorphic to the symmetric group S2^n. Characteristics of a number of gates from the set of all generalized Toffoli gates are studied. Any permutation Sn is proved to be generated by a n-cycle 9 and a permutation τ= （ij,ik） together. It shows that any neighboring 2-cycle permutation can be generated by at most two NOT gates without ancilla bit. Based on the above theory, a cascade algorithm for reversible logic gate networks is proposed. A reversible example of logic gate network cascade is given to show the correctness of the algorithm.
文摘In this paper, the author analyzed some cryptographic properties of a class of logical functions, f(x,y)=(q(x),...,q(x))·y+h(x),over Galois rings and residue rings, presented the relationship between the character spectrum of f(x,y) and the character speetrum of q(x),h(x) and the relationship between the cryptographic properties of f(x,y) and the cryptographic properties of h(x).
基金Project supported in part by the National Natural Science Foundation of China (Grant No. 61871429)the Natural Science Foundation of Zhejiang Province,China (Grant No. LY18F010012)the Project of Ministry of Science and Technology of China (Grant No. D20011)。
文摘A multi-valued logic system is a promising alternative to traditional binary logic because it can reduce the complexity,power consumption, and area of circuit implementation. This article briefly summarizes the development of ternary logic and its advantages in digital logic circuits. The schemes, characteristics, and application of ternary logic circuits based on CMOS, CNTFET, memristor, and other devices and processes are reviewed in this paper, providing some reference for the further research and development of ternary logic circuits.
文摘A soitable data model and data structure make underground survey objects maintained and operated easier. This paper gives a formal definition for underground survey objects. By making use of the quotient topological space, the author studies the logical relations among underground survey objects, a partiallyordered space uuder some conditions. An example is given to show the data model’s possible applications.
基金supported by the National Natural Science Foundation of China(Grant No.51379526)
文摘The phenomenon of logical stochastic resonance （LSR） in a nonlinear bistable system is demonstrated by numerical simulations and experiments. However, the bit rates of the logical signals are relatively low and not suitable for practical applications. First, we examine the responses of the bistable system with fixed parameters to different bit rate logic input signals, showing that an arbitrary high bit rate LSR in a bistable system cannot be achieved. Then, a normalized transform of the LSR bistable system is introduced through a kind of variable substitution. Based on the transform, it is found that LSR for arbitrary high bit rate logic signals in a bistable system can be achieved by adjusting the parameters of the system, setting bias value and amplifying the amplitudes of logic input signals and noise properly. Finally, the desired OR and AND logic outputs to high bit rate logic inputs in a bistable system are obtained by numerical simulations. The study might provide higher feasibility of LSR in practical engineering applications.
文摘This paper aims to critique Robert Bley-Vroman's views on accessibility to UG. In paper "what is the logical problem of foreign language learning?" Robert Bley-Vroman puts forward the famous fundamental difference hypothesis. Robert Bley-Vroman thinks that child first language learning is quite different from adult foreign language learning. In this paper author's view is different from Robert Bley-Vroman's. Author thinks the innate system that guides child acquisition also operates in adult foreign language learning.
基金Supported by Beijing Institute of Technology Science Foundation(3050012211106)
文摘In order to improve the performance of arithmetic very large-scale integration （VLSI） sys- tem, a novel structure of quaternary logic gates is proposed based on multiple-valued current mode （MVCM） by using dynamic source-coupled logic （SCL）. Its key components, the comparator and the output generator are both based on differential-pair circuit （DPC）, and the latter is constructed by using the structure of DPC trees. The pre-charge evaluates logic style makes a steady current flow cut off, thereby greatly saving the power dissipation. The combination of multiple-valued source- coupled logic and differential-pair circuit makes it lower power consumption and more compact. The performance is evaluated by HSPICE simulation with 0.18 ~m CMOS technology. The power dissipa- tion, transistor numbers and delay are superior to corresponding binary CMOS implementation. Mul- tiple-valued logic will be the potential solution for the high performance arithmetic VLSI system in the future.
基金Project supported by the National Key Research and Development Plan of the Ministry of Science of Technology of China (Grand Nos.2019YFB 2205100 and 2019YFB2205102)the National Natural Science Foundation of China (Grant Nos.61974164,62074166,61804181,62004219,and 62004220)the Science Support Program of the National University of Defense and Technology (Grand No.ZK20-06)。
文摘Memristive stateful logic is one of the most promising candidates to implement an in-memory computing system that computes within the storage unit.It can eliminate the costs for the data movement in the traditional von Neumann system.However,the instability in the memristors is inevitable due to the limitation of the current fabrication technology,which incurs a great challenge for the reliability of the memristive stateful logic.In this paper,the implication of device instability on the reliability of the logic event is simulated.The mathematical relationship between logic reliability and redundancy has been deduced.By combining the mathematical relationship with the vector-matrix multiplication in a memristive crossbar array,the logic error correction scheme with high throughput has been proposed.Moreover,a universal design paradigm has been put forward for complex logic.And the circuit schematic and the flow of the scheme have been raised.Finally,a 1-bit full adder(FA)based on the NOR logic and NOT logic is simulated and the mathematical evaluation is performed.It demonstrates the scheme can improve the reliability of the logic significantly.And compared with other four error corrections,the scheme which can be suitable for all kinds of R–R logics and V–R logics has the best universality and throughput.Compared with the other two approaches which also need additional complementary metal–oxide semiconductor(CMOS)circuits,it needs fewer transistors and cycles for the error correction.
基金Supported by the IIT Roorkee Project under Grant No. FIG-A Scheme-A
文摘A fuzzy model was presented to predict the weldment shape profile of submerged arc welds （SAW） including the shape of heat affected zone （HAZ）. The SAW bead-on-plates were welded by following a full factorial design matrix. The design matrix consisted of three levels of input welding process parameters. The welds were cross-sectioned and etched, and the zones were measured. A mapping technique was used to measure the various segments of the weld zones. These mapped zones were used to build a fuzzy logic model. The membership functions of the fuzzy model were chosen for the accurate prediction of the weld zone. The fuzzy model was further tested for a set of test case data. The weld zone predicted by the fuzzy logic model was compared with the experimentally obtained shape profiles and close agreement between the two was noted. The mapping technique developed for the weld zones and the fuzzy logiemodel earl be used for on-line control of the SAW process. From the SAW fuzzy logic model an estimation of the fusion and HAZ can also be developed.
