The initial cell search plays an important role during the process of downlink synchronization establishment between the User Equipment(UE) and the base station. In particular, the uncertainty of the synchronization s...The initial cell search plays an important role during the process of downlink synchronization establishment between the User Equipment(UE) and the base station. In particular, the uncertainty of the synchronization signals on the frequency domain and the flexibility of frame structure configuration have brought great challenges to the initial cell search for the fifth-generation(5G) new radio(NR). To solve this problem, firstly, we analyze the physical layer frame structure of 5G NR systems. Then, by focusing on the knowledge of synchronization signals, the 5G NR cell search process is designed, and the primary synchronization signal(PSS) timing synchronization algorithm is proposed, including a 5G-based coarse synchronization algorithm and conjugate symmetry-based fine synchronization algorithm. Finally, the performance of the proposed cell search algorithm in 5G NR systems is verified through the combination of Digital Signal Processing(DSP) and personal computer(PC). And the MATLAB simulation proves that the proposed algorithm has better performance than the conventional cross-correlation algorithm when a certain frequency offset exists.展开更多
DVB-T2(digital video broadcasting-second generation terrestrial)系统采用一种具有C-A-B特殊结构的前导符号用于时频同步。目前,已有的基于前导符号的同步算法仅利用其中C-A与B-A之间的相关性来实现时频同步,而忽略了A内部的共轭对...DVB-T2(digital video broadcasting-second generation terrestrial)系统采用一种具有C-A-B特殊结构的前导符号用于时频同步。目前,已有的基于前导符号的同步算法仅利用其中C-A与B-A之间的相关性来实现时频同步,而忽略了A内部的共轭对称性。基于该共轭对称性质,提出一种新的镜像乘积同步算法,用于实现前导符号的检测与时频同步。通过在AWGN(addictive white Gaussian noise)信道和TU6(typical urban)信道30 km/h移动速度下对所提算法进行蒙特卡洛仿真,并与已有同步算法相比较,结果表明所提算法的检测概率明显提高,时域同步和频域同步的均方误差均明显降低。展开更多
For the numerical treatment of Hamiltonian differential equations, symplectic integrators are the most suitable choice, and methods that are conjugate to a symplectic integrator share the same good long-time behavior....For the numerical treatment of Hamiltonian differential equations, symplectic integrators are the most suitable choice, and methods that are conjugate to a symplectic integrator share the same good long-time behavior. This note characterizes linear multistep methods whose underlying one-step method is conjugate to a symplectic integrator. The bounded- hess of parasitic solution components is not addressed.展开更多
针对具有偏移正交幅度调制的滤波器组多载波(Filter Bank Multicarrier with Offset Quadrature Amplitude Modulation,FBMC-OQAM)系统中目前存在的定时同步算法问题,提出了一种改进的定时同步算法。该算法利用两个特殊设计的符号,将其...针对具有偏移正交幅度调制的滤波器组多载波(Filter Bank Multicarrier with Offset Quadrature Amplitude Modulation,FBMC-OQAM)系统中目前存在的定时同步算法问题,提出了一种改进的定时同步算法。该算法利用两个特殊设计的符号,将其连续通过FBMC-OQAM系统后在时域形成共轭对称特性的信号。与现有的算法相比,该算法增加了计算相关序列的长度,但减少了训练符号,还去除了高旁瓣带来的干扰。理论分析与仿真结果表明,改进算法具有更好的定时同步性能。展开更多
The relationship between the arguments of the bottom vector D(λ) and the local Symmetry is given for a system of chain conjugate polymers. On this basis, we find the condition of single-frequency reduction for its ei...The relationship between the arguments of the bottom vector D(λ) and the local Symmetry is given for a system of chain conjugate polymers. On this basis, we find the condition of single-frequency reduction for its eigenequation.展开更多
A new framework has been developed to express variant and invariant properties of functions operating on a binary vector space.This framework allows for manipulation of dynamic logic using basic operations and permuta...A new framework has been developed to express variant and invariant properties of functions operating on a binary vector space.This framework allows for manipulation of dynamic logic using basic operations and permutations.Novel representations of binary functional spaces are presented.Current ideas of binary functional spaces are extended and additional conditions are added to describe new function representation schemes:F code and C code.Sizes of the proposed functional space representation schemes were determined.It was found that the complete representation for any set of functions operating on a binary sequence of numbers is larger than previously thought.The complete representation can only be described using a structure having a space of size 2^(2n)×2^(n)!for any given space of functions acting on a binary sequence of length n.The framework,along with the proposed coding schemes provides a foundational theory of variant and invariant logic in software and electricelectronic technology and engineering,and has uses in the analysis of the stability of rule-based,dynamic binary systems such as cellular automata.展开更多
Two algorithms for constructing a class of compactly supported conjugate symmetric complex tight wavelet framesψ={ψ1,ψ2}are derived.Firstly,a necessary and sufficient condition for constructing the conjugate symmet...Two algorithms for constructing a class of compactly supported conjugate symmetric complex tight wavelet framesψ={ψ1,ψ2}are derived.Firstly,a necessary and sufficient condition for constructing the conjugate symmetric complex tight wavelet frames is established.Secondly,based on a given conjugate symmetric low pass filter,a description of a family of complex wavelet frame solutions is provided when the low pass filter is of even length.When one wavelet is conjugate symmetric and the other is conjugate antisymmetric,the two wavelet filters can be obtained by matching the roots of associated polynomials.Finally,two examples are given to illustrate how to use our method to construct conjugate symmetric complex tight wavelet frames which have some vanishing moments.展开更多
基金partially the Chongqing Municipality’s Major Theme Project “R & D and Application of 5G terminal simulation equipment” (Grant No. Cstc2017zdcy-zdzx0030)
文摘The initial cell search plays an important role during the process of downlink synchronization establishment between the User Equipment(UE) and the base station. In particular, the uncertainty of the synchronization signals on the frequency domain and the flexibility of frame structure configuration have brought great challenges to the initial cell search for the fifth-generation(5G) new radio(NR). To solve this problem, firstly, we analyze the physical layer frame structure of 5G NR systems. Then, by focusing on the knowledge of synchronization signals, the 5G NR cell search process is designed, and the primary synchronization signal(PSS) timing synchronization algorithm is proposed, including a 5G-based coarse synchronization algorithm and conjugate symmetry-based fine synchronization algorithm. Finally, the performance of the proposed cell search algorithm in 5G NR systems is verified through the combination of Digital Signal Processing(DSP) and personal computer(PC). And the MATLAB simulation proves that the proposed algorithm has better performance than the conventional cross-correlation algorithm when a certain frequency offset exists.
文摘DVB-T2(digital video broadcasting-second generation terrestrial)系统采用一种具有C-A-B特殊结构的前导符号用于时频同步。目前,已有的基于前导符号的同步算法仅利用其中C-A与B-A之间的相关性来实现时频同步,而忽略了A内部的共轭对称性。基于该共轭对称性质,提出一种新的镜像乘积同步算法,用于实现前导符号的检测与时频同步。通过在AWGN(addictive white Gaussian noise)信道和TU6(typical urban)信道30 km/h移动速度下对所提算法进行蒙特卡洛仿真,并与已有同步算法相比较,结果表明所提算法的检测概率明显提高,时域同步和频域同步的均方误差均明显降低。
基金the Swiss National Science Foundation, project No.200020-121561
文摘For the numerical treatment of Hamiltonian differential equations, symplectic integrators are the most suitable choice, and methods that are conjugate to a symplectic integrator share the same good long-time behavior. This note characterizes linear multistep methods whose underlying one-step method is conjugate to a symplectic integrator. The bounded- hess of parasitic solution components is not addressed.
文摘针对具有偏移正交幅度调制的滤波器组多载波(Filter Bank Multicarrier with Offset Quadrature Amplitude Modulation,FBMC-OQAM)系统中目前存在的定时同步算法问题,提出了一种改进的定时同步算法。该算法利用两个特殊设计的符号,将其连续通过FBMC-OQAM系统后在时域形成共轭对称特性的信号。与现有的算法相比,该算法增加了计算相关序列的长度,但减少了训练符号,还去除了高旁瓣带来的干扰。理论分析与仿真结果表明,改进算法具有更好的定时同步性能。
文摘The relationship between the arguments of the bottom vector D(λ) and the local Symmetry is given for a system of chain conjugate polymers. On this basis, we find the condition of single-frequency reduction for its eigenequation.
基金This work was supported in part by Information Security Professional Education System Constructions from Yunnan University,and Yunnan Education Organization and Writing Environment in Conjugate Systems Kunming Ltd.Co.
文摘A new framework has been developed to express variant and invariant properties of functions operating on a binary vector space.This framework allows for manipulation of dynamic logic using basic operations and permutations.Novel representations of binary functional spaces are presented.Current ideas of binary functional spaces are extended and additional conditions are added to describe new function representation schemes:F code and C code.Sizes of the proposed functional space representation schemes were determined.It was found that the complete representation for any set of functions operating on a binary sequence of numbers is larger than previously thought.The complete representation can only be described using a structure having a space of size 2^(2n)×2^(n)!for any given space of functions acting on a binary sequence of length n.The framework,along with the proposed coding schemes provides a foundational theory of variant and invariant logic in software and electricelectronic technology and engineering,and has uses in the analysis of the stability of rule-based,dynamic binary systems such as cellular automata.
基金supported by the National Natural Science Foundation of China(Grant No.10631080,Grant No.11126291)Guangdong Province Key Laboratory of Computational Science at the Sun Yat-sen University,the Scientific Research Foundation of Nanjing University of Information Science and Technology(Grant No.2012X057).
文摘Two algorithms for constructing a class of compactly supported conjugate symmetric complex tight wavelet framesψ={ψ1,ψ2}are derived.Firstly,a necessary and sufficient condition for constructing the conjugate symmetric complex tight wavelet frames is established.Secondly,based on a given conjugate symmetric low pass filter,a description of a family of complex wavelet frame solutions is provided when the low pass filter is of even length.When one wavelet is conjugate symmetric and the other is conjugate antisymmetric,the two wavelet filters can be obtained by matching the roots of associated polynomials.Finally,two examples are given to illustrate how to use our method to construct conjugate symmetric complex tight wavelet frames which have some vanishing moments.
