# a 1 a 2 2 Port b 2 b 1 Multi-Port Handset Switch S-Parameters Application Note AN20 Seven-Port S-Parameter Definition Introduction Summary:

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1 AN2 Multi-Port Handset Switch S-Parameters Introduction High-power UltraCMOS switches are the nextgeneration solution for wireless handset power amplifiers and antenna switch modules. Most multi-throw switches combine high-power transmit and high-isolation receive functions on one die. Peregrine switches also feature integrated decoders and logic drivers, extremely low power, and low voltage. Applying any switch requires understanding its impedance and transmission characteristics. S- parameters are common for defining two-port RF networks. Without a multi-port vector network analyzer (VNA), multi-port switches present great calibration, measurement, and design challenges. This application note describes how to calibrate and measure S-parameters for multi-port switches with a common two-port VNA. The procedure is illustrated with the PE4263 SP6T switch. Summary: Complete seven-port characterization S-parameter matrix for all ON and OFF states Step-by-step measurement procedure Test fixture and bond wire de-embedding Reference plane definition Seven-Port S-Parameter Definition S-parameters are widely utilized for analyzing RF circuits. They conveniently and thoroughly describe network impedance and transmission versus frequency. Figure 2 illustrates a two-port network. Figure 2. Two-Port Scattering Network Figure 1. PE4263 Functional Diagram a 1 a 2 b 1 2 Port 1 2 b 2 TX1 TX2 RX1 a 1 & a 2 are incident waves and b 1 & b 2 are reflected waves described by the following equations: b 1 = a 1 S 11 + a 2 S 12 b 2 = a 1 S 21 + a 2 S 22 CMOS Control/Driver and ESD where S ij is a complex number with both magnitude and phase. Since PE4263 is passive, the magnitude of all S-parameters lie between zero and one. V1 V2 V3 Document No Peregrine Semiconductor Corp. All rights reserved. Page 1 of 12

2 AN2 Figure 3. Seven-Port Scattering Definition S-parameters are normally assigned numerical subscripts. For the example in this document ports have been designated per Table 1. b2 a2 a 3 b 3 a 4 Table 1. PE4263 Port Assignments a 1 b 1 a 7 b 7 7 Port b 6 a 6 a 5 b 5 b 4 Port PE4263 Pin Description 1 ANT (Antenna) 2 TX1 3 TX2 4 RX Figure 3 illustrates a seven-port network. A multiport network is expressed in matrix form: B = [S] A where B is the reflected wave vector, A is the incident wave vector, and [S] is the scattering parameter matrix. A seven-port device is completely described by the 7x7 S-parameter matrix of Figure 4. Figure 4. Seven-Port Scattering Matrix S 11 S 12 S 13 S 14 S 15 S 16 S 17 S 21 S 22 S 23 S 24 S 25 S 26 S 27 S 31 S 32 S 33 S 34 S 35 S 36 S 37 S 41 S 42 S 43 S 44 S 45 S 46 S 47 S 51 S 52 S 53 S 54 S 55 S 56 S 57 S 61 S 62 S 63 S 64 S 65 S 66 S 67 S 71 S 72 S 73 S 74 S 75 S 76 S 77 Measurement Procedure PE4263 is a seven-port device with six functional states. Port 1 (ANT) can connect to any of the other six (two TX and four RX). Each state has different seven-port S-parameters. VNAs with up to twelve ports are now available, but they are uncommon, very expensive, and frequently lack polished automation software. Two-port VNAs are common, so an alternative is to measure all port combinations two ports at a time and process the two-port S-parameter files into seven-port S-parameter files. This process is not as lengthy as it may appear because many port combinations are redundant. For example, after measuring ANT to TX1, it is not necessary to measure TX1 to ANT. Thus, instead of 36 test configurations, only 21 are required (See Table 2). Table 2. S-Parameter Two-Port Measurements NA Port 1 Network Analyzer Port X X X X X X 2 X X X X X 3 X X X X 4 X X X 5 X X 6 X 28 Peregrine Semiconductor Corp. All rights reserved. Document No UltraCMOS RFIC Solutions Page 2 of 12

3 AN2 Figure 5 depicts the measurement process. Note that calibration need only be implemented once. Figure 5. Measurement Process Calibrate Network Analyzer Connect VNA Ports 1&2 Terminate Five Unused Ports Record S-params Figure 6. Measurement Setup Select the remaining switch states in turn: ANT to TX2, RX1,,, and ; and move and reattach loads and cables as necessary, recording 21 two-port s-parameter files for each switch state. This yields 6 data files for 21 test configurations total. To avoid confusion use consistent filenames. For example, TX1_TX2_.txt where Switch State is ANT to TX1 VNA port 1 is connected to TX2 VNA port 2 is connected to A spreadsheet or script language such as PERL will transcribe data from each two-port file to the appropriate column of a new file. Table 3 maps the 21 two-port measurements to the 7x7 S-parameter matrix. P1 VNA PE4263 EVK P2 5 Ω Connect VNA port 1 to PE4263 port 1 (ANT) and VNA port 2 to to PE4263 port 2 (TX1). Terminate PE4263's unused ports (3 to 7 - TX2, RX1,,, and ) with 5 ohms. Power PE4263 and enable state "ANT to TX1". The test set-up is now ready to measure the first set of two-port S-parameters. Since TX1 is enabled, the data will show low insertion loss and good return loss. Now, referring to Table 2, swap the 5-ohm termination on port 3 (TX2) and VNA port 2 and record another set of two-port S-parameters. Since TX1 remains enabled the data will show high insertion loss and poor return loss; i.e., high isolation between ANT and TX2. Continue through the rest of Table 2. Table 3. Two-Port to Seven-Port Mapping VNA Port1 VNA Port 2 S-Parameter Measured ANT TX1 TX2 RX1 TX1 TX2 RX1 TX2 RX1 RX1 S11, S21, S12, S22 S31, S13, S33 S41, S14, S44 S51, S15, S55 S61, S16, S66 S71, S17, S77 S32, S23 S42, S24 S52, S25 S62, S26 S72, S27 S43, S34 S53, S35 S63, S36 S73, S37 S54, S45 S64, S46 S74, S47 S65, S56 S75, S57 S76, S67 Document No Peregrine Semiconductor Corp. All rights reserved. Page 3 of 12

5 AN2 Now, plug these derived S-parameters into a deembedding element found in most RF simulation software and attach to each port as shown in Figure 8. Figure 8. CAD De-embedding PE4263 EVK 7x7 S-pars This yields a new 7x7 S-parameter matrix with the PC board trace effects mathematically removed. The reference plane is now where the bond wire leaves the EVK pad. One step remains: de-embedding the bond wires. The electrical characteristics of a bond wire are defined primarily by its length. Figure 9 shows the vertical cross-section of PE4263 mounted on the EVK board. Table 4 gives total length and inductance of the seven RF bond wires. Table 4. Bond Wire Inductance Port Pad Length X-Y Total Length L (nh) RFC TX1 TX2 RX1 1.35mm 1.28 mm 1.7 mm 1.13 mm 1.35 mm 1.35 mm 1.49 mm 1.74 mm 1.67 mm 1.48 mm 1.54 mm 1.74 mm 1.74 mm 1.88 mm Inductance is then calculated by the following formula: µ 2l L ol ln. 75 2π r Note inductance is approximately proportional to length. Using the same procedure given earlier, the inductances can be removed to give the S- parameters of the die alone - everything else has now been de-embedded. Figure 9. Bond wire Geometry Z =5 um Sapphire (X1,Y1) (X2,Y2) 2 um The Z-axis dimensions of each bond wire on the EVK board are made as much alike as possible. X and Y dimensions are measured using a microscope. Neglecting the bend at the apex, total length is approximated from the resulting triangle. Document No Peregrine Semiconductor Corp. All rights reserved. Page 5 of 12

6 AN2 Data Overview Figures 1 through 15 provide a visual summary for each switch position. On the left side are six log magnitude plots of loss between ANT and the six ports. The top right Smith Chart plots S 11 and S 22 of the selected channel. The bottom right chart plots the reflection coefficients of the five OFF ports. As before, port numbers follow the Table 1 assignments. Figure 1. Reflection Coefficients: ANT and TX1 ports, TX1 selected m MHz m1=-.462 db(s(2,1)) db(s(3,1)) db(s(4,1)) db(s(5,1)) db(s(6,1)) db(s(7,1)) TX1 ENABLED m1 m2 m2 1.9GHz m2= freq, GHz S(2,2) S(1,1) S(7,7) S(6,6) S(5,5) S(4,4) S(3,3) m MHz m3=.55 / impedance = Z * ( j.38) m4 1.9GHz m4=.72 / impedance = Z * ( j.144) m3 m4 freq (1.MHz to 6.GHz) freq (1.MHz to 6.GHz) 28 Peregrine Semiconductor Corp. All rights reserved. Document No UltraCMOS RFIC Solutions Page 6 of 12

7 AN2 Figure 11. Reflection Coefficients: ANT and TX2 ports, TX2 selected m MHz m7=-.487 db(s(2,1)) db(s(3,1)) db(s(4,1)) db(s(5,1)) db(s(6,1)) db(s(7,1)) m7 TX2 ENABLED m8 m8 1.9GHz m8= freq, GHz S(3,3) S(1,1) S(7,7) S(6,6) S(5,5) S(4,4) S(2,2) m MHz m31=.42 / impedance = Z * ( j.6) m32 1.9GHz m32=.115 / impedance = Z * (1.1 - j.231) m31 m32 freq (1.MHz to 6.GHz) freq (1.MHz to 6.GHz) Document No Peregrine Semiconductor Corp. All rights reserved. Page 7 of 12

8 AN2 Figure 12. Reflection Coefficients: ANT and RX1 ports, RX1 selected m MHz m11=-.77 db(s(2,1)) db(s(3,1)) db(s(4,1)) db(s(5,1)) db(s(6,1)) db(s(7,1)) m11 RX1 ENABLED m12 m12 1.9GHz m12= freq, GHz S(4,4) S(1,1) S(7,7) S(6,6) S(5,5) S(3,3) S(2,2) m MHz m33=.64 / impedance = Z * ( j.93 m34 1.9GHz m34=.182 / impedance = Z * ( j.365 m33 m34 freq (1.MHz to 6.GHz) freq (1.MHz to 6.GHz) 28 Peregrine Semiconductor Corp. All rights reserved. Document No UltraCMOS RFIC Solutions Page 8 of 12

9 AN2 Figure 13. Reflection Coefficients: ANT and ports, selected m MHz m15=-.784 db(s(2,1)) db(s(3,1)) db(s(4,1)) db(s(5,1)) db(s(6,1)) db(s(7,1)) m15 ENABLED m16 m16 1.9GHz m16= freq, GHz S(5,5) S(1,1) S(7,7) S(6,6) S(4,4) S(3,3) S(2,2) m MHz m35=.73 / impedance = Z * ( j.79) m36 1.9GHz m36=.146 / impedance = Z * ( j.292) m35 m36 freq (1.MHz to 6.GHz) freq (1.MHz to 6.GHz) Document No Peregrine Semiconductor Corp. All rights reserved. Page 9 of 12

10 AN2 Figure 14. Reflection Coefficients: ANT and ports, selected m MHz m19=-.78 db(s(2,1)) db(s(3,1)) db(s(4,1)) db(s(5,1)) db(s(6,1)) db(s(7,1)) m19 ENABLED m2 m2 1.9GHz m2= freq, GHz S(6,6) S(1,1) S(7,7) S(5,5) S(4,4) S(3,3) S(2,2) m MHz m37=.7 / impedance = Z * ( j.64) m38 1.9GHz m38=.128 / impedance = Z * ( j.261) m37 m38 freq (1.MHz to 6.GHz) freq (1.MHz to 6.GHz) 28 Peregrine Semiconductor Corp. All rights reserved. Document No UltraCMOS RFIC Solutions Page 1 of 12

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