压缩感知是一种亚奈奎斯特率信息采样方法。基于压缩感知的符号检测方法通常先将亚奈奎斯特率样本重构为奈奎斯特率样本,然后再依据传统符号检测的原理检测接收符号。本文针对基于重构的压缩感知符号检测方法采样率过高的问题,研究广义...压缩感知是一种亚奈奎斯特率信息采样方法。基于压缩感知的符号检测方法通常先将亚奈奎斯特率样本重构为奈奎斯特率样本,然后再依据传统符号检测的原理检测接收符号。本文针对基于重构的压缩感知符号检测方法采样率过高的问题,研究广义似然比检测和信息采样样本之间的关系,提出了一种不需要重构奈奎斯特率样本的压缩检测方法。该方法首先通过双通道时延结构分离接收信号的参考部分和信息符号部分,然后依据两部分信号的稀疏相关特性,对亚奈奎斯特率接收符号进行检测。实验结果表明本文提出的方法能够有效地抵抗多径衰弱和符号间干扰(Inter Symbol Interference,ISI)。展开更多
The focus of our investigation is to evaluate one of the four contributing terms to the coulombic potential energy of an H<sub>2</sub> molecule. Specifically, we are interested in the term describing the e...The focus of our investigation is to evaluate one of the four contributing terms to the coulombic potential energy of an H<sub>2</sub> molecule. Specifically, we are interested in the term describing the electronic interaction of the charge distribution of one of the hydrogen atoms with the proton of the second atom. Quantum mechanics provides the charge distribution;hence, the evaluation of this term is a semi-classic quantum physics issue. For states other than the ground state the charge distributions are not spherically symmetric;they are functions of the radial and the angular coordinates. For the excited states we develop exact analytic expressions conducive to the potential energies. Because of the functional complexities of the wave functions, the evaluation of the core integrals is carried out utilizing symbolic capabilities of Mathematica [1]. Plots of these energies vs. the distance between the two protons reveal global features.展开更多
Pseudo-random sequences with long period, low correlation, high linear complexity, and uniform distribution of bit patterns are widely used in the field of information security and cryptography. This paper proposes an...Pseudo-random sequences with long period, low correlation, high linear complexity, and uniform distribution of bit patterns are widely used in the field of information security and cryptography. This paper proposes an approach for generating a pseudo-random multi-value sequence (including a binary sequence) by utilizing a primitive polynomial, trace function, and k-th power residue symbol over the sub extension field. All our previous sequences are defined over the prime field, whereas, proposed sequence in this paper is defined over the sub extension field. Thus, it’s a new and innovative perception to consider the sub extension field during the sequence generation procedure. By considering the sub extension field, two notable outcomes are: proposed sequence holds higher linear complexity and more uniform distribution of bit patterns compared to our previous work which defined over the prime field. Additionally, other important properties of the proposed multi-value sequence such as period, autocorrelation, and cross-correlation are theoretically shown along with some experimental results.展开更多
文摘压缩感知是一种亚奈奎斯特率信息采样方法。基于压缩感知的符号检测方法通常先将亚奈奎斯特率样本重构为奈奎斯特率样本,然后再依据传统符号检测的原理检测接收符号。本文针对基于重构的压缩感知符号检测方法采样率过高的问题,研究广义似然比检测和信息采样样本之间的关系,提出了一种不需要重构奈奎斯特率样本的压缩检测方法。该方法首先通过双通道时延结构分离接收信号的参考部分和信息符号部分,然后依据两部分信号的稀疏相关特性,对亚奈奎斯特率接收符号进行检测。实验结果表明本文提出的方法能够有效地抵抗多径衰弱和符号间干扰(Inter Symbol Interference,ISI)。
文摘The focus of our investigation is to evaluate one of the four contributing terms to the coulombic potential energy of an H<sub>2</sub> molecule. Specifically, we are interested in the term describing the electronic interaction of the charge distribution of one of the hydrogen atoms with the proton of the second atom. Quantum mechanics provides the charge distribution;hence, the evaluation of this term is a semi-classic quantum physics issue. For states other than the ground state the charge distributions are not spherically symmetric;they are functions of the radial and the angular coordinates. For the excited states we develop exact analytic expressions conducive to the potential energies. Because of the functional complexities of the wave functions, the evaluation of the core integrals is carried out utilizing symbolic capabilities of Mathematica [1]. Plots of these energies vs. the distance between the two protons reveal global features.
文摘Pseudo-random sequences with long period, low correlation, high linear complexity, and uniform distribution of bit patterns are widely used in the field of information security and cryptography. This paper proposes an approach for generating a pseudo-random multi-value sequence (including a binary sequence) by utilizing a primitive polynomial, trace function, and k-th power residue symbol over the sub extension field. All our previous sequences are defined over the prime field, whereas, proposed sequence in this paper is defined over the sub extension field. Thus, it’s a new and innovative perception to consider the sub extension field during the sequence generation procedure. By considering the sub extension field, two notable outcomes are: proposed sequence holds higher linear complexity and more uniform distribution of bit patterns compared to our previous work which defined over the prime field. Additionally, other important properties of the proposed multi-value sequence such as period, autocorrelation, and cross-correlation are theoretically shown along with some experimental results.
