【第7章】有限脉冲响应数字滤波器的设计解读ppt课件.ppt

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1、 10)()(NnnznhzH)(10)()()( jgNnnjjeHenheH 是起始相位是常数 )( )(00 10( )( )NnnH zh n z 10( )(1)NnnH zh Nnz 11(1)(1)00(1)1( )()()( )()NNNmNmmmNH zh m zzh m zH zzH z 102121)21(10)1(1)1()(21)()(21)()(21)(NnNnNnNNnnNnNzznhzzzznhzHzzHzH11()201()( )cos() 2NNjjnNH eeh nn 101( )( )cos() 21( )(1)2NgnNHh nnN 1100( )(

2、)(1)NNnnnnH zh n zh Nnz 11(1)(1)00(1)1( )()()( )()NNNmNmnnNH zh m zzh m zH zzH z 102121)21(10)1(1)1()(21)()(21)()(21)(NnNnNnNNnnNnNzznhzzzznhzHzzHzH1120112201()( )( )sin()21( )sin()2jNNjjz enNNjjnNH eH zjeh nnNeh nn 101( )( )sin ()21( )()22NgnNHh nnNQ 101( )( )cos() 2NgnNHh nn (3)/2011( )()2 ( )cos(

3、) 22NgnNNHhh nn (1)/21(1)/2011( )()2 ()cos22( )( )cosNgmNgnNNHhhmmHa nn 1(0)()211( )2 ()1,2,3,22NahNNa nhnn 101201( )( )cos() 212 ( )cos() 2NgnNnNHh nnNh nn /21/211( )2 ()cos() 221( )( )cos() 2( )2 ()1,2,22式式中中：NgmNgnNHhmmHb nnNNb nhnn 101( )( )sin()2NgnNHh nn 0)21()21()121()21()1()( NhNhNNhNhnNhnh

4、2/ )3(1)21(sin)(2)(NngnNnhH (1)/21 ( )( )sin11( )2 ()1,2,22式式中中：NgnHc nnNNc nhnn 101201( )( )sin ()21 2 ( )sin ()2NgnNnNHh nnNh nn /21/211 ( )2 ()sin ()221( )( )sin ()2( )2 ()1,2,3,22NgmNgnNHhmmHd nnNNd nhnn 式式中中：(1)1( )()NH zzH z 1112002( )( )( )( )NNNnnnNnmnH zh n zh n zh n z 1122(1)00( )( )(1)( )

5、(1)NNnNmnmH zh n zh Nmzh nh Nn 12(1)0( )( )NnNnnH zh n zz (1) 112(1)201( )( )()2NNnNnnNH zh n zzhz nnjdjdenheH )()( deeHnhnjjdd)(21)()()()(1zHnheHZTdFTjd ()0jacjdceHe sin()1( )2()ccjajncdn ah needn a 10( )( )NnnH zh n z ()( )jjnddnHeh n e ()1()()()2jjjdNH eHeRed 11001(1)2()( )sin(/2) ( )sin( /2)NNjj

6、njnNNnnjNjNR eR n eeNeRe ( )( )( )dNh nh n Rn ()()jjaddHeHe 1( )0cdcH ()1()( )()21( )()2jjajadNjadNH eHeRedeHRd ()( )1( )( )()2jjadNH eHeHHRd sin(/ 2)sin( )/ 2NNxRNx 1(1)2sin(/ 2)()sin(/ 2)jNjRNWee 21 0(1)12( )212 (1)112BrnnNNnnNnNN 1()22sin()4()2 sin(/ 2)NjjBrNNWee 1211222( )0.51cos()( )1()( )( )2(

7、)( )0.5( )0.25()12()( )1HnNNjjRNRjHnHnRRNNjjRHnnnRnNWeFT RnWeWeFT WnWWNWeWeN 22( )0.5( )0.25()()HnRRRWWWWNN2( )0.540.46cos()( )1HmNnnRnN 22()()11()0.54() 0.23() 0.23()jjjjNNHmRRRWeW eW eW e 22( )0.54() 0.23() 0.23()11jHmRRRWW eWWNN 22( )0.54( )0.23()0.23()BlRRRnWWWNN24( )0.420.5cos0.08cos( )11BlNnnn

8、RnNN 22()()11R22()()11()0.42()0.25()()0.04()()jjjjNNBlRRjjNNRRWeWeWeWeWeWe22( )0.42( )0.25()()11440.04()()11BlRRRRRWWWWNNWWNN00( )( ),01( )kInnNI 221(1)1nN 2011( )1() )! 2kkxIxk (1)/21( )(0)2( )cosNkkknWnn 1( )()2jj nddh nHeed 22101( )()MjkjknMMMdkhnHeeM ( )()Mdrhnh nrM sin()( )()cdnh nn ( )( ) ( )d

9、h nh n w n 10()( )NjjnnH eh n e sin()( )010()1(1)52sin(0.2 (5)( )010(5)cddnh nnnNnh nnn ( )( )( )0102( )0.5(1cos)10dHnHnh nh nnnnn 11( )( )( )22( )(0.420.5cos0.08cos)( )1010dBlBlh nh nnnnnRn 2( )()0,1,2,1jddkNHkHekN 2101( )( )0,1,2,1Njk nNdkh nHk ekNN )()()()(zHnhkHeHZTIDFTdjd 采样采样10( )( )NnnH zh n

10、z 1201( )1( )1N NdjkkNHkzH zNez ()1()( )( )2( )(2)( )(2)jjdgggggNHeHeHHNHHN 奇奇偶偶20,1,2,1kkkNN )()()(kjgdekHkH kNNkNNk 1221)( ( )()( )()ggggHkHNkkHkHNkk 奇奇偶偶( )()1,0,1,2,( )0,1,2,11( ),0,1,2,1ggcgcccHkHNkkkHkkkkNkNkkkNN ( )1,0,1,2,( )0,1,2,1()1,0,1,2,1( ),0,1,2,1gcgcccgcHkkkHkkkkNkHNkkkNkkkNN 1( )()2

11、jj nddh nHeed ( )()( )dNrh nh nrN Rn 12011( )( )1N NjkNzH kH zNez 1012,2()( ) ()1 sin(/ 2)( )sin(/ 2)jNjkNjzeH eH kkNNeN 令令有有( )(33)10,1,2,8( )0,9,10,23,2432( ),0,1,2,3233gggHkHkkHkkkkk ( )( )jkdgHHk e 221()2jeE ed ()()()jjjdE eHeH e121(1)20()( )( )( )cosNjjgNgnH eeHHa nn 0( )( )( )( )cosMdnEWHa nn

12、minmax( )AE 10121()()()max( )iiiAMEEEEA 10( )0pdsH 0()()( )cos( 1)max( ) ,0,1,21MkkdkknAWHa nnEkM (0)(0)(0)Maaaa101010,()( 1)/()1( 1)coscosMkdkkMkkkkMkkii kika HaWa 算法步骤算法步骤:000,coscos( )coscos()( 1)0,1,2,()1( 1)coscosMkkkkgMkkkkkdkkMkkii kikCHCHkMW 000(1) ( )(1)1( )( )cos2(2) ( )(1)1( )( )cos()22(3

13、) ( )(1)1( )( )sin2(4) ( )(1)1( )( )cos()22MgnMgn iMgnMgnh nh NnNNHa nnMh nh NnNNHb nnMh nh NnNNHc nnMh nh NnNNHd nnM 奇奇偶偶奇奇偶偶( )b n( )c n( )d n1(1)(0)(1)21( ) (1)( )21()(1)22,3,1bbbb nb nb nb Mb MnM 1(1)(0)(2)21( ) (1)(1)21(1)(2)21()(1)22,3,2cccc nc nc nc Mc Mc Mc MnM 1(1)(0)(1)21( ) (1)( )21()(1)22,3,1dddd nd nd nd Md MnM ( )( )( )( )( ) ( )( ) ( )( )( )( )( ) ( )( )( )( )ddddHEWHPQWQPQWWQHHQ 令 则 )()()()( PHWEd