Design Example and Measurement Data
4.3 Fourth Order Band-Pass Filter
We try against to design fourth order band-pass filter for two kinds architecture.
4.3.1 Architecture-I
Its ideal model, ideal response, equivalent circuit, and EM-simulation are shown in Fig. 4.15-4.18, respectively.
Fig. 4.16 shown center frequency f0 is 2.45GHz, and fractional bandwidth ∆ is 15
43
dB(4,3) dB(3,3)
1.5 2.0 2.5 3.0 3.5
1.0 4.0
-60 -40 -20
-80 0
freq, GHz
dB(S(1,1))dB(S(2,1))
Figure 4.11: Narrow band differential mode simulation result
dB(4,3)
dB(3,3)
Figure 4.12: Photo of the third order band-pass filter
percent. Fig. 4.18 shown center frequency f0 is 2.45GHz, and fractional bandwidth
∆ is 15 percent.
Circuit photo is shown in Fig. 4.19. The measured results are shown in Fig. 4.20 and 4.21. Fig. 4.20 shown center frequency f0 is 2.34GHz, and fractional bandwidth
1 2 3 4 5 6 7
0 8
-60 -40 -20
-80 0
freq, GHz
dB(S(1,1))dB(S(2,1))
Figure 4.13: Broad band differential mode measurment result
1 2 3 4 5 6 7
0 8
-60 -40 -20
-80 0
freq, GHz
dB(S(3,3))dB(S(4,3)) dB(4,3)
dB(3,3)
Figure 4.14: Broad band common mode measurment result
∆ is 15 percent. Fig. 4.21 is shown broad band common mode response.
45
K01 J12 K23
Figure 4.15: Half circuit model of a fourth order band-pass filter of architecture-I
1.5 2.0 2.5 3.0 3.5
Figure 4.16: Narrow band ideal response of fourth order band-pass filter of architecture-I
Figure 4.17: Equivalent circuit of fourth order band-pass filter of architecture-I
dB(4,3) dB(3,3)
1.5 2.0 2.5 3.0 3.5
1.0 4.0
-60 -40 -20
-80 0
freq, GHz
dB(S(1,1))dB(S(2,1))
Figure 4.18: Narrow band differential mode simulation result of architecture-I
dB(4,3)
dB(3,3)
Figure 4.19: Photo of the fourth order band-pass filter I
4.3.2 Architecture-II
Its ideal model, ideal response, equivalent circuit, and EM-simulation are shown in Fig. 4.22-4.25, respectively. Circuit photo is shown in Fig. 4.26.
Fig. 4.23 shown center frequency f0 is 2.45GHz, and fractional bandwidth ∆ is 15 percent. Fig. 4.25 shown center frequency f0 is 2.45GHz, and fractional bandwidth
47
dB(4,3) dB(3,3)
1 2 3 4 5 6 7
0 8
-100 -80 -60 -40 -20 0
-120 20
freq, GHz
dB(S(1,1))dB(S(2,1))
Figure 4.20: Broad band differential mode measurment result
dB(4,3)
dB(3,3)
1 2 3 4 5 6 7
0 8
-60 -40 -20
-80 0
freq, GHz
dB(S(3,3))dB(S(4,3))
Figure 4.21: Broad band common mode measurment result
∆ is 14 percent.
The measured results are shown in Fig. 4.27 and 4.28. Fig. 4.27 shown center frequency f0 is 2.34GHz, and fractional bandwidth ∆ is 15 percent. Fig. 4.28 is
shown broad band common mode response.
K01 J12 K23
90+(Φ01/2)+(Φ12/2) 90+(Φ12/2)+(Φ23/2)
Z0 Z0
K01 90+(Φ01/2)+(Φ12/2) J12 180+(Φ12/2)+(Φ23/2) J23 K34 90+(Φ23/2)+(Φ34/2)
Z0 Z0 Z0
J01 90+(Φ01/2)+(Φ12/2) K12 90+(Φ12/2)+(Φ23/2) J23 90+(Φ23/2)+(Φ34/2) K34 90+(Φ34/2)+(Φ45/2) J45
Z0 Z0 Z0 Z0
K01 90+(Φ01/2)+(Φ12/2) J12 90+(Φ12/2)+(Φ23/2) K23 90+(Φ23/2)+(Φ34/2) J34 90+(Φ34/2)+(Φ45/2) K45
Z0 Z0 Z0 Z0
Figure 4.22: Half circuit model of a fourth order band-pass filter architecture-II
1.5 2.0 2.5 3.0 3.5
1.0 4.0
-60 -40 -20
-80 0
freq, GHz
dB(S(3,3))dB(S(4,3))
Figure 4.23: Narrow band ideal response of fourth order band-pass filter of architecture-II
49
dB(4,3)
Figure 4.24: Equivalent circuit of fourth order band-pass filter of architecture-II
dB(4,3) dB(3,3)
Figure 4.25: Narrow band differential mode simulation result of architecture-II
dB(4,3)
dB(3,3)
Figure 4.26: Photo of the fourth order band-pass filter II
1 2 3 4 5 6 7
0 8
-80 -60 -40 -20
-100 0
freq, GHz
dB(S(1,1))dB(S(2,1))
Figure 4.27: Broad band differential mode measurment result
dB(4,3)
dB(3,3)
1 2 3 4 5 6 7
0 8
-60 -40 -20
-80 0
freq, GHz
dB(S(3,3))dB(S(4,3))
Figure 4.28: Broad band common mode measurment result
51
Chapter 5 Conclusion
In this thesis, we have proposed J and K inverters which are suitable for designing a CPS band-pass filters with λ/2 and λ/4 resonators. An analytical design procedure has been developed, the related design formulas have also been derived. The design curves to extract the series suceptance value and shunt reactance value for J and K inverters have also been achieved. Three types of transition circuits have been developed to extract the mixed-mode S-parameters of filters.
Several CPS bandpass filters have been designed and realized to demonstrate the feasibility of the proposed design method. The measured performances matched well to the simulated ones.
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