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EEE445_Lectr13_smatrx

# EEE445_Lectr13_smatrx - Multi-Port Networks Two-port...

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Lecture 13 Multi-Port Networks Two-port: Definition of “Port”: A pair of terminals that carry equal currents in opposite directions. EEE 591/445 1 Lecture 13

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Lecture 13 Examples of Multi-Port Networks Two-ports: filters, amplifiers, transistor Three-ports: power dividers and circulators Four-ports: hybrid couplers and baluns 2N-ports: multi-chip modules Network with 100s or 1000s of ports: phased array antenna EEE 591/445 2 Lecture 13
Lecture 13 4.2 Multi-Port Impedance and Admittance Matrices As far as the external world is considered, an N -port network can be completely specified by an N by N matrix. Among these matrix representations are the impedance matrix and the admittance matrix. EEE 591/445 3 Lecture 13

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Lecture 13 Impedance Matrix of a Two-Port + - + - 1 V 2 V 1 I 2 I 2 22 1 21 2 2 12 1 11 1 I Z I Z V I Z I Z V + = + = j k I j i ij k I V Z = = , 0 { } [ ] { } I Z V = EEE 591/445 4 Lecture 13 The Z-matrix Typically seen in circuits: transformer and loop analysis Voltage and current are waves
Lecture 13 Admittance Matrix of a Two-Port + - + - 1 V 2 V 1 I 2 I 2 22 1 21 2 2 12 1 11 1 V Y V Y I V Y V Y I + = + = j k V j i ij k V I Y = = , 0 { } [ ] { } V Y I = [ ] [ ] 1 - = Z Y EEE 591/445 5

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