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-1 : P in (db) LA = 10lg PL 4
-2 ( ω ) [ ( )] 2 P 1 L A ( ω ) = 10lg = 10lg 1+ ω 2 1 Γ Butterworth (Chebyshev) 5
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20 db = 20log V transmitted V incident 7
Bandwidth Bandwidth Magnitude Constant Amplitude Linear Phase 8
BER 9
f1 f2 1 2 Group Delay 1 = t g = 0 360 Φ f 10
Butterworth Chebyshev 11
Butterworth Butterworth 12
Chebyshev Chebyshev 13
+ 14
Ansoft Designer 10GHz; 400MHz; 15
Ansoft Designer Filter Design Wizard 16
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f min; f max Ansoft Designer ADS CST DS HFSS CST MWS IE3D ADS HFSS CST MWS IE3D ADS 3
Typical Filter Design Cycle 4
Typical Filter Design Cycle 5
Typical Filter Design Cycle 6
Typical Filter Design Cycle 7
Typical Filter Design Cycle 8
Typical Filter Design Cycle 9
Typical Filter Design Cycle 10
Typical Filter Design Cycle 11
Typical Filter Design Cycle 12
Typical Filter Design Cycle 13
Typical Filter Design Cycle 14
Typical Filter Design Cycle 15
Typical Filter Design Cycle 16
Typical Filter Design Cycle 17
-2 2
400MHz 15MHz 0.1dB 25MHz 40dB 3
G 4
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K J LC LC K LC J 7
K Z G ~ K L K Z L : Z G Z G ~ K L K 2 Z L ~ K 2 j ω L + K 2 Z L j ω C L 1 K 2 + 1 Z L j ω L + K 2 Z G C = L K 2 Z G Z L 8 ~ K 2 j ω L + K 2 Z L j ω C L 1 K 2 + 1 Z L ~ Z L
K R A L a,1 L a,k k R B 9
J G A C a,1 C a,k k R B 10
7 Chebychecv K K 7 Chebychecv K 11
1Hz bw 12
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bw j Lx *bw j ( *bw) Lx j L= j ( *bw) Lx x=1/bw K 15
bw Z L =1 16
bw 1H 1F 1H 1Hz bw g = 1 0 1 1 1 Z L =1 bw / g bw g g 1 2 bw / g 1 g g i j N ~ 1 1 1 bw 17
L 1 C 1 18 1 Z1( ωr) = j( ωrls ) ω C r L ω ω s = L; C = C ω r 1 s 1 ωr r 1 1 1 1 L = s Henry; Cs Farad ω = 2π f = ω = 2π f r r r r s
Z L =1 19 1 1 1 1 Ls = = Henry; Cs = = Farad ω 2π f ω 2π f f r = bw = r r r r f f f 1 2 f 2 1 r f
R S Q Q 0 = 2π frls R s Q 0 1 f = 2Q 0 L s = 1 2 π f r R s 2π fl r s 1 = = Ω Q Q 0 0 20
Q L Q 0 21 tan 1 f r 2 = 2 Q tan Q L 1 = = K 2 01 g1 bw f r r1 0 = f + 2 0 0 1 2 Q 1 1 fr1 = 2Q 2Q f L 1 1 = f + + 2QL 2Q 0 0 0
1-50 Z = IN K 2 Z L K Z L / 1 50 50 Z = 1; Z = 50; K = 50 L in 22
K Z = IN K 2 Z L K Z L Zin βl Z0 Z L 23
24 f = 400 MHz; f = 400 MHz; r1 r2 15MHz bw = = 0.0375; 400MHz 8 Q = 1 10 ; Q 0 L 1 g 1 = = = 2 K 01 bw 31.498089 K K K 12 23 34 bw = = 0.0289268; gg 1 2 = bw gg 2 3 = 0.0217117; = bw gg = 0.0206465; 3 4 ZUL = 70 mm; L R L R s1 s1 2π fr1 2π fr1 s1 r1 s1 0 s2 s2 2π fr2 2π fr2 s1 1 1 = ; C = ; 2π f L = Q r1 s1 0 ; 1 1 = ; C = ; 2π f L = Q ;
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A=30mm B=60mm C=120mm R1=5mm R2=6mm R3=8mm L=114.5mm H=15mm 26
1 Q 0 2 Q0 2700; Length = 114.69 mm; 27
K12 = 2(f2-f1) / (f2+f1) K12 = (f2 2 -f1 2 ) / (f2 2 +f1 2 ) Q Q L = f R / BW 3dB 28
A=30mm B=120mm C=120mm R1=5mm R2=6mm R3=8mm L=114.5mm H=15mm S=27 29
K K K 12 23 34 = 0.02893; = 0.02171; = 0.02065; l l l 12 23 34 = 25.513 mm; = 28.291 mm; = 28.767 mm; 30
Q 1.5mm 3.5mm 13mm; 4mm 1.94mm 31
Q L 1 Q L 2 d = 1.879 mm; Length = 113.399 mm; 32
Initial Filter Design in HFSS Filter Theory : Resonant frequency of the outermost resonators fr1= 400 MHz Resonant frequency of the inner resonators Loaded Q fr2= 400 MHz QL=31.498 Coupling coefficients K12=0.02893, K23=0.02171, K34=0.02065 HFSS Calibration: Length of the two outermost resonators Length of the five inner resonators Antenna distance = 113.399 mm = 114.69 mm = 1.879 mm Distances between resonators are 25.513 mm, 28.291 mm, 28.767 mm 33
HFSS 34
HFSS 35
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