1、10()( )()Njj njdnH eh n eHe1( )2jj nddh nHeed( )( )( )dh nw n h nw(n):窗函数序列要选择合适的形状和长度()0,jjccdcceHe 1sin()( )2()ccjj nccdcnh needn( )( )Nw nRn 1sin201 120cccNnnNh nNnn其它( )01( )( ) ( )0ddh nnNh nh n w nn其它12Nsin()( )()ccdcnh nn1()2jjjdH eHeW ed 1120sin2()( )sin2NNjjj nRnNW ew n ee( )( ) ( )dh nh n
2、w nsin2 ( )sin2RNW其幅度函数: 12()( )NjjddHeHe11()221()( )()2NNjjjdRH eHeWed 121( )()2NjdReHWd1( )0cdcH 1( )()2dRHHWd其幅度函数:(0)( )RHW近似于的全部积分面积()0.5(0)cHH2cHN为最大值,正肩峰2cHN为最小值,负肩峰( )H随,绕零值波动( )(0)HH随,绕波动0c2cN2cN2cN2cN1( )( )()2dRHHWd幅度函数:2cNsinsinsin22 ( )sin22RNNxWNNxN幅度函数:( )( )Nw nRn4N 1120()( )NNjjj nR
3、RnWew n eWesin2( )sin2RNW幅度函数: 21012( )212112nNnNw nnNnNN8N 12()NjjW eWe2sin24( )sin2NWN幅度函数: 1N 12( )1cos( )21Nnw nRnN8N22( )0.5( )0.25RRRWWWWNN幅度函数: 1N 2( )0.540.46cos( )1Nnw nRnN8N22( )0.54( )0.23RRRWWWWNN幅度函数: 1N 24( )0.420.5cos0.08cos( )11Nnnw nRnNN12N22( )0.42( )0.25RRRWWWWNN440.04RRWWNN幅度函数:
4、1N 0( )I 2002111( )( )nINw nI01nN改变 可同时调整主瓣 宽度和旁瓣幅度 旁瓣幅度 但主瓣宽度/ 2 / N/ 2 / N7.865阻带最小衰减只由窗形状决定过渡带宽则与窗形状和窗宽N都有关()jdHe2,( )dh n( )w n()jH e/NA( )( )( )dh nh nw n()jdHe( )dh n, ( )( )dMMNh nhn当时1( )2jj nddh nHeed( )()Mdrhnh nrM计算其IFFT,得:()jdHe2()jkMdHe/2/0.2ppspsf /2/0.4ststsstsf 250dB421.5 10 (/sec)sr
5、ad 321.5 10 (/sec)prad 323 10 (/sec)strad ()0,jjccdcceHe ccsf()11( )22ccjj njndh needed1sin()()ccnnnn12N1/220.3psts 2( )0.540.46cos( )1Nnw nRnN20.2stps 6.6330.2AN1162N250dB3)选择窗函数:由 确定海明窗(-53dB)6.6N海明窗带宽:( )( ) ( )dh nh n w n33sin 0.3160.540.46cos( )1616nnRnn()jH e若不满足,则改变N或窗形状重新设计()()1( )2ccjnjndh neded1sinsin()1()ccnnnnn()=()cc高通滤波器全通滤波器低通滤波器12N()0jjcdeHe其它理想高通的频响:1221()()1( )2jnjndh neded21211sinsin1nnnnn1221(,)=()() 带通滤波器低通滤波器低通滤波器120()0jjdeHe其它12N2112()()()1( )2jnjnjndh nededed12121sinsinsin1nnnnnn1221()=()()带阻滤波器,高通滤波器+低通滤波器12N120,()0jjdeHe 其它