1. Chapter 4: Microwave Network Analysis
ELCT564 Spring 2012
Chapter 4: Microwave Network Analysis
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2. Equivalent Voltages and Currents
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3. Impedance Matrices Reciprocal Networks Lossless Networks 4/27/2017
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4. Example
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5. The Scattering Matrix
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6. The Scattering Matrix Reciprocal Networks Lossless Networks 4/27/2017
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7. Example: The Scattering Matrix
A two port network is known to have the following scattering matrix:
Determine if the network is reciprocal, and lossless. If port two is terminated with a matched load, what is the return loss seen at port 1? If port two is terminated with a short circuit, what is the return loss seen at port 1?
-0.452
6.9dB
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8. Reference Plane
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9. The Transmission (ABCD) Matrix
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10. The ABCD Parameters Examples
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11. ABCD Parameters Relation to Impedance Matrix
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12. ABCD Parameters Relation
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13. Signal Flow Graph
Nodes: Each port, I, of a microwave network has two nodes, ai and bi. Node ai is identified with a wave entering port I, while node bi is identified with a wave reflected from port i. The voltage at a node is equal to the sum of all signals entering that node.
Branches: A branch is a directed path between two nodes, representing signal flow from one node to another. Every branch has an associated S parameter or reflection coefficient.
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14. Signal Flow Graph Representations
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15. Signal Flow Graph Rules
Series rule
Parallel rule
Self-loop rule
Splitting rule
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16. Signal Flow Graph Example
Use signal flow graphs to derive expressions for Гin and Гout for the two-port network shown in the above Figure.
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17. Signal Flow Graph Example
Use signal flow graphs to derive expressions for Гin and Гout for the two-port network shown in the above Figure.
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18. TRL Network Analyzer Calibration
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19. Microstrip Discontinuities
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