S-Parameters

# S-Parameters - Sheet 1 of 11 S-PARAMETERS Scattering Matrix...

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Sheet 1 of 11 S-PARAMETERS Scattering Matrix Z 02 Z 01 I 2 I 1 V 1 V 2 Reference planes t2 t1 V 1 i V 2 r V 1 r V 2 i Output T.L L2=0 V2 = V 2 i + V 2 r Input T.L L1=0 V1 = V 1 i + V 1 r Define normalised voltages a1 = Z b1 = a2 = b2 = Z 01 01 V V Z V Z V i r i r 1 1 01 2 01 2 Note Using normalised voltages making the characteristic impedances = 1 a2 t2 t1 a1 b2 b1 Outgoing voltage waves ingoing voltage waves . b1 = S a1 + S b2 = S b1 b2 = S11 S12 S21 S22 a1 a2 11 12 21 22 .. Scattering Matrix

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Sheet 2 of 11 Measurement of S11 & S12 (1) Apply input to Port 1 , terminate at Port 2 with a Matched Load a2 = 0. = S = b1 a1 = reflection coefficient at Port 1 (matched load at Port 2). S = b2 a1 = Voltage transfer ratio Port 1 to Port 2 (matched load at Port 2). 11 a2=0 21 a 20 (2) Apply input to Port 2 , terminate at Port 1 with a matched load a1 = 0. = = b2 a2 = reflection coefficient ar Port 2 (matched load at Port 1). S b1 a2 = transfer ratio Port 2 to Port 1 (matched load at Port 1).
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## This note was uploaded on 01/07/2011 for the course ECE 166 taught by Professor Staff during the Spring '08 term at UCSD.

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S-Parameters - Sheet 1 of 11 S-PARAMETERS Scattering Matrix...

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