构造函数利用单调性解题

由函数单调性的定义容易知道 :(1 )若函数 f (x)在区间 I上单调增 ,且x1、x2 ∈ I,则 f(x1) x2 ;(3 )若函数 f(x)在区间 I上单调 ,且 x1、x2 ∈ I,则 f (x1) =f (x2 )　 　 x1=x2 .根据题目的特点 ,构造恰当的函数 ,利用函数单调性来解题是一种常用技巧 ,本文在此作点归纳和介绍 .1　巧用单调性解方程 (不等式 )例 1　解方程　 3 x 4x =5x.解　易知原方程同解于方程 (35) x (45) x=1 ,观察知 x =2是此方程的解 .易知 ,函数 f (x) =(…     

重构-等效啁啾分布反馈半导体激光器的多信号直调特性

在测量与分析频率响应与动态范围的基础上,研究了重构-等效啁啾分布反馈半导体.直调激光器偏置电流以及调制信号的微波功率对直调结果的影响.将300Mb/s基带信号与1.562 5Gb/s超宽带信号同时直接加载到该激光器上,经过10km单模光纤传输后进行波形、频谱及误码率的检测,结果表明:基带信号与超宽带信号的功率代价分别为1.98dB与0.92dB;该激光器具有良好的多信号直接调制性能,在基于波分复用无源光网络的多业务融合网络中具有重要的应用前景.     

Instantaneous frequency analysis of broadband LFM signals by photonics-assisted equivalent frequency sampling

We propose a photonics-assisted equivalent frequency sampling(EFS)method to analyze the instantaneous frequency of broadband linearly frequency modulated(LFM)microwave signals.The proposed EFS method is implemented by a photonic scanning receiver,which is operated with a frequency scanning rate slightly different from the repetition rate of the LFM signals.Compared with the broadband LFM signal analysis based on temporal sampling,the proposed method avoids the use of high-speed analog to digital converters,and the instantaneous frequency acquisition realized by frequency-to-time mapping is also simplified since real-time Fourier transformation is not required.Feasibility of the proposed method is verified through an experiment,in which frequency analysis of Kα-band LFM signals with a bandwidth up to 3 GHz is demonstrated with a moderate sampling rate of 100 MSa/s.The proposed method is highly demanded for analyzing the instantaneous frequency of broadband LFM signals used in radar and electronic warfare systems.     

Photonic generation of high quality frequency-tunable millimeter wave and terahertz wave

A scheme for the photonic generation of frequency-tunable millimeter wave and terahertz wave signals based on a highly flat optical frequency comb is proposed and demonstrated experimentally.The frequency comb is generated using two cascaded phase modulators(PMs)and an electro-absorption modulator(EAM).The frequency comb covers a 440-GHz frequency range,with 40-GHz comb spacing and less than 2-dB amplitude variation.By filtering out two of the comb lines with 50 dB out of the band suppression ratio,high frequency-purity and low phase noise millimeter wave or terahertz wave signals are successfully generated,with frequencies ranging from 40 to 440 GHz.     

函数思想在数列中的几点应用

数列是一类特殊的函数 ,即数列是定义在自然数集 N或其子集 {1 ,2 ,… ,n}上的函数f ( n) ,当自变量 n依次取自然数时 ,对应的函数值是一序列 :f( 1 ) ,f ( 2 ) ,… ,f( n) ,…这就是数列 ,其通项公式为 an =f ( n) .因此 ,数列与函数之间的关系 ,是一般与特殊的关系 ,正是这种关系 ,使函数思想方法成为研究和解决数列问题的重要工具 .在数列的教学中渗透函数思想方法 ,不仅可以加深学生对数列的认识 ,而且可以使学生深入领会特殊→一般→特殊这一认知规律在数列中的具体应用 .1　 用函数观点研究等差、等比数列的特点数列的通项公式及前 n…