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system
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  system
This implies that a system is algebraically integrable (i.e., its eigenvalue problem is explicitly solvable in quadratures) if and only if the differential Galois group is commutative for generic eigenvalues.
      
We apply this criterion of algebraic integrability to two examples: finite-zone potentials and the elliptic Calogero-Moser system.
      
In the second example, we obtain a proof of the Chalyh-Veselov conjecture that the Calogero-Moser system with integer parameter is algebraically integrable, using the results of Felder and Varchenko.
      
The least upper bound for the degrees of elements in a system of generators turns out to be independent of the number of vector variables.
      
We consider 3-parametric polynomialsPμ*(x; q, t, s) which replace theAn-series interpolation Macdonald polynomialsPμ*(x; q, t) for theBCn-type root system.
      
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A practical means is presented for the design of a coherent Integrating Filter (GIF) covering the whole doppler frequency range with a single channel, as it is much simpler than the usual way of implementing the coherent integration by a large number of parallel channels each matched at a different doppler frequency, therefore it is easier to implement and superior than the parallel matched filters scheme. The paper has analyzed the principle of operation of the GIF, pointed out that it is equivalent to a set...

A practical means is presented for the design of a coherent Integrating Filter (GIF) covering the whole doppler frequency range with a single channel, as it is much simpler than the usual way of implementing the coherent integration by a large number of parallel channels each matched at a different doppler frequency, therefore it is easier to implement and superior than the parallel matched filters scheme. The paper has analyzed the principle of operation of the GIF, pointed out that it is equivalent to a set of high frequency sweeping comb filters but with no sweeping loss. GIF implements the optimum receiver by inclined cutting the Woodward's "uncertainty function" as contrast with the ax-is parallel cutting implemented by the matched filters.The block diagram of a radar system with GIF is presented in the last section and the choice of some system parameters is explained.

提出一个具有能在未知多卜勒频移情况下不需分路的相参积累器,它比一般分路方案可以简单得多。因此在从噪声中发现微弱信号的角度来看,优于其他曾提出过的任何积累方案。文中分析了这种积累器的作用原理,提出了利用这种积累器组成的积累滤波器如何能对脉冲串高频信号获得最佳信噪比,并用模糊度函数的概念说明了这种积累滤波器的实质,指出它比脉冲串匹配滤波器更优越和具有较大的实现可能性。最后还讨论了利用这种设备进行雷达站设计的要点和某些工作参数的选择与考虑。

Function of a control equipment in meteor-trail communication system and its requirements are described, with its block diagrams for use in FM system and some principle remarks introduced. Effects of starting and stopping delay on performance of the communication system has been emphasized. The article points out that the timing of all gating circuits must be rationally distributed, and the resultant delays of some circuits, especially their stopping delay, must be shortten as much as possible....

Function of a control equipment in meteor-trail communication system and its requirements are described, with its block diagrams for use in FM system and some principle remarks introduced. Effects of starting and stopping delay on performance of the communication system has been emphasized. The article points out that the timing of all gating circuits must be rationally distributed, and the resultant delays of some circuits, especially their stopping delay, must be shortten as much as possible.

本文叙述流星余迹通讯体系中控制设备的作用及对它提出的要求。简略介绍在调频制体系中采用的一种控制设备的方案及某些主要问题。着重分析启动迟延和停动迟延对体系通讯性能的影响。文中指出,为改善通讯性能,在控制设备的设计中,必须使各闸门动作的时间合理配合,尽可能减小有关电路的迟延,特别是停动迟延。

The paper deals with the problem of the detection and the estimation of parameters of radar signals in the Gaussian white noise from the point of view of the theory of statistical decision. The design principle of the optimum radar receiver for signals of unknown parameters is given according to the characteristics of the high-speed target at distance and to the purposes of radar systems. Unified detection procedures are established the construction and the performances of the optimum radar receivers are...

The paper deals with the problem of the detection and the estimation of parameters of radar signals in the Gaussian white noise from the point of view of the theory of statistical decision. The design principle of the optimum radar receiver for signals of unknown parameters is given according to the characteristics of the high-speed target at distance and to the purposes of radar systems. Unified detection procedures are established the construction and the performances of the optimum radar receivers are obtained.The block diagrams of these results are also shown.Emphasis is given to the case where the prior distributions are unknown, while only two parameters, velocity and distance, are discussed for the case where the prior distributions "re known. For the latter case, the optimum estimations of these two parameters and their properties are derived from the absolute loss criterion.

本文以统计判决理论观点考虑淹没于正态白噪声中雷达信号检测和参数估计问题。根据远距离高速目标的性质及雷达系统的目的,指出未知参数信号最佳雷达接收机的设计原则。建立了统一的检测程序,得出最佳雷达接收机的结构及其性能。也附有这些结果相应的方框图。 着重于论述信号参数先验分布未知的情形,对于先验分布已知的情形,只讨论了目标速度和距离两个参数。在后种情形,以绝对损失标准导出达两个参数的最佳估计程序和它们的性质。

 
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