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1 1 1-1.SAW SAW 1 SAW RF IF SAW GHz SAW v SAW SAWSurface Acoustic Wave SAW m 100ppm 5
2 SAW 1-1 IDTInterdigital Transducer IDT f SAW V0 IDT SAW f V0/ 1-2.SAW SAW 10MHz GHz 1.5GHz RF 1.5GHz 130MHz IF 1.5GHz 130MHz 455kHz 1-2.SAW SAW 1-3. SAW SAW SAW CampbellJones IDT FIR SAW SAW 6
3 2 SAW 2 IDT IF IDT 6dB TTSTriple Transit Suppression 20dB SAW SPUDT Single Phase Unidirectional Transducer [1],[ 2] 2-1.FIR SAW SAW MATLAB Signal Processing Toolbox [3] IIRInfinite Impulse Response FIRFinite Impulse Response FIR Z- 1 Ts=1/fs fs 2-1. h(nt x(nt n 1 k= 0 ( k x( nt kt y ( nt = h (2-1 10
4 z ( z ( z H( z Y = ( FIR SAW IDT SAW V SAW Ts=/2V IDT Ts=/2V FIR FIR SAW (1 SAW SAW IDT IDT (2-1h(k (2 SAW IDT 11
5 SAW IDT IDT h(n SAW IDT FIR 2 FIR SAW SAW IDT IDT 1 SAW fc Wb f=fc(wb/2wt Remez Wb WbWt/2 fs fs=fc/2 MATLAB Signal Processing Toolbox 2-3.(a (a 2 2 f s f s=fs/2 f s/2(=fs/4
6 3 SAW SAW 4 5 m-file [4] 0º,140º,25º SAW 2740mm ST 15% 0.36%ST ppm NSPUDT [5] MATLAB 3-1. IDT IDT 3 COM 22
7 23 (3-1 [6] 2 AA ( = = = C V A A I V A A A V A A A S u u ω ζ ζ ζ θ κ ζ κ θ ( 4 ( 4 ( ( ( ( ( ( ( ( κ : α κ κ 2 e = : β ζ ζ e = : S C : A A I V 3-1.COM
8 COM 4 4 κ κ 11 ζ C S COM Hybrid (La 3Ga5SiO 14COM [7] COM FEMSDA FORTRAN [8] 3-2. COM 4 COM COM : κ 11 SAW SAW κ λ1 11 κ λ 11 SAW V SAW V o κ λ = 11 V V o 1 (3-2 2π λ κ 11 : κ κ λ 1 [ α] κ λ = κ λ exp 2 (3-3 SAW 24
9 4 SAW COM 4-1.P [10] SAW 2 4 I 1 I 2 V 1 x x x x 22 V Z Y F S 4 4 P SAW (a IDT SAW 34
10 4-2.(b (b 33 P IDT SPUDT P P P22 P23 IDT SPUDT P 9 COM V I 1 V I 2 A (0 A (L W A -(0 [P] A -(L N x=0 A (0 P 11 = A ( L P I 2P 13 P P 22 2P 23 x=l P A (0 13 P A ( L 23 P V 33 (aidt (bp 4-2.P COM [6] P (4-1 A ( = θ A ( κ A ( ζv u A ( = κa ( θu A ( ζ V I ( = 4 ζ A ( 4 ζa ( ωc V S (4-1 35
11 5 MATLAB 5-1. MATLAB SAW 5-1. SAW (5-1 A ( = θ A ( κ A ( ζv u A ( = κa ( θu A ( ζ V I ( = 4 ζ A ( 4 ζa ( ωc V S ( (5-2 A A^ ( = c exp ( θp Γ c exp ( θp ( = Γ c exp ( θ c exp ( θ p p ξ V ξ V (5-2 ( 0 SAW A 1 2 = c = Γc exp( θpl (5-3 (5-3 SAW ( 1 2 Γ Γ exp( 2θpL = ( Γ Γ exp( 2θ L U Γ = (5-4 r U p SAW 48
12 Γ l ( 1 2 Γ Γ exp( 2θpL = ( Γ Γ exp( 2θ L U = (5-5 U p L=Np=N/2 A (1/2 A (-1/2=0 A (1/2 x=-1/2 x=1/ MATLAB refl_coef.m COM_LGS_Y50_25 COM compara (a 5-2.(b NSPUDT 5-2.(b 5-3. theta_u theta_p 49
13 5-2.LGS0,140, LGS0,140,25 50
14 w,c,w,f,l; % weight_idt1 IDT % H N_Na=length(dist; Na =ones(1,n_na; zeta_n=zeta_t.*dist; Cn=C.*abs(dist; % IDT IDTH siz_f = size(f,1; q11 = ones( siz_f,n_na; q = zeros(siz_f,n_na; q13 = zeros(siz_f,n_na; q21 = zeros(siz_f,n_na; q22 = ones( siz_f,n_na; q23 = zeros(siz_f,n_na; q41 = zeros(siz_f,n_na; q42 = zeros(siz_f,n_na; q43 = zeros(siz_f,n_na; for ii=1:length(na [p11,p,p13,p21,p22,p23,p31,p32,p33,delta]=p_mtrixh(1,k11,k,zeta_n(ii,phse,vsaw,cn(i i,w,f,l; [T11t,Tt,T13t,T21t,T22t,T23t,T41t,T42t,T43t]=p2h(p11,p,p13,p21,p22,p23,p31,p32,p3 3; q11(:,ii = T11t; q(:,ii = Tt; q13(:,ii = T13t; q21(:,ii = T21t; q22(:,ii = T22t; q23(:,ii = T23t; q41(:,ii = T41t; q42(:,ii = T42t; q43(:,ii = T43t; end [T11,T,T13,T21,T22,T23,T31,T32,T33] = Hmatc4(q11,q,q13,q21,q22,q23,q41,q42,q43; 5-7. m - file 5-6 MATLAB m-file MATLAB compara COM [k11,k,arg_k,zeta_t,arg_zeta_t,phse,cs,vsaw]=compara(cryst,h,la mbda; 82
15 COM COM 5-3. [9] 5-1. cryst (5-3. H m 11 Al lambda m 11 SAW ( 5-2. k11 11 κ λ k 11 ( κ λ arg_k [] 11 k (2 ' 2 Zeta_t 11 ζ = ( ζ λ ( ω C S arg_zeta_t [] 11 zeta_t ( Phse [] =arg_karg_zeta_t Cs (F/m 11 Vsaw [m/s] 11 κ λ = κ λ exp[ 2 ] α 11 ' ζ = ζ exp[ β] 83
16 5-3.compara cryst 1 Quartz 34Y- ( 2 Quartz ST-25 ( NSPUDT 3 LT -1Y ( 4 LT 36Y- ( 5 LN 8Y- ( 6 LN 64Y- ( 7 LN 8Y- FEUDT( 8 LBO LBO 45-Z ( : m-filecompara.m 5-9.compara function[k11,k,arg_k,zeta_t,arg_zeta_t,phse,cs,vsaw]=compara(cryst,h,lambda; % compara COM % [k11,k,zeta_t,phse,cs,vsaw]=compara(cryst,h,lambda; % ; SAW % 23EM (1994p % ( % cryst==1;quartz 34Y- % cryst==2;quartz ST-25 % cryst==3;lt -1Y % cryst==4;lt 36Y- % cryst==5;ln 8Y- % cryst==6;ln 64Y- % cryst==7;ln 8Y- FEUDT % cryst==8;lbo 45-Z % cryst=7 ( % % % cryst: % H : [m] % lambda:saw ( [m] % % k11: k11 % k: k = k exp(2 84
17 6 MATLAB SAW SAW SAW S S MATLAB (a 6-1.(b LC SAW SPUDT TTE 116
18 S 2 S ai,bi i (i=1,2 b1 S b 2 = S S 11 S a1 a 2 (6-1 S11S22 1,2 SS21 SAW S 50 Z (a Z L C Z (=1/Y L C 6-1(.b
19 SAW 6-3. LC Z1Z2 SAW S S Z F SAW Z1Z4 F F 6-3. F F' F Z S 6-2. SAW IS95.mat 5-6 w_trns.m w_trns.m IDT LGS0,140, (a (b without matching circuits (c 6-4.(a (b with matching circuits 50 SAW TTE 6-4.(d TTS 51dB 34dB TTE 6-4.(a 119
20 6-4(a.ex_match ( 6-4(b.ex_match ( 0
21 6-4(c.ex_match ( TTS TTE 6-4(d.ex_match ( 1
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