Class2_7_8_9_frequency_domain

# Class2_7_8_9_frequency_domain - 1 Differential Signaling...

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Unformatted text preview: 1 Differential Signaling Introduction to Frequency Domain Analysis (3 Classes) Many thanks to Steve Hall, Intel for the use of his slides Reference Reading: Posar Ch 4.5 http://cp.literature.agilent.com/litweb/pdf/5952-1087.pdf Slide content from Stephen Hall Instructor: Richard Mellitz 2 Differential Signaling Outline Motivation: Why Use Frequency Domain Analysis 2-Port Network Analysis Theory Impedance and Admittance Matrix Scattering Matrix Transmission (ABCD) Matrix Mason’s Rule Cascading S-Matrices and Voltage Transfer Function Differential (4-port) Scattering Matrix 3 Differential Signaling Motivation: Why Frequency Domain Analysis? Time Domain signals on T-lines lines are hard to analyze Many properties, which can dominate performance, are frequency dependent, and difficult to directly observe in the time domain • Skin effect, Dielectric losses, dispersion, resonance Frequency Domain Analysis allows discrete characterization of a linear network at each frequency Characterization at a single frequency is much easier Frequency Analysis is beneficial for Three reasons Ease and accuracy of measurement at high frequencies Simplified mathematics Allows separation of electrical phenomena (loss, resonance … etc) 4 Differential Signaling Key Concepts Here are the key concepts that you should retain from this class The input impedance & the input reflection coefficient of a transmission line is dependent on: Termination and characteristic impedance Delay Frequency S-Parameters are used to extract electrical parameters Transmission line parameters (R,L,C,G, TD and Zo) can be extracted from S parameters Vias, connectors, socket s-parameters can be used to create equivalent circuits= The behavior of S-parameters can be used to gain intuition of signal integrity problems 5 Differential Signaling Review – Important Concepts The impedance looking into a terminated transmission line changes with frequency and line length The input reflection coefficient looking into a terminated transmission line also changes with frequency and line length If the input reflection of a transmission line is known, then the line length can be determined by observing the periodicity of the reflection The peak of the input reflection can be used to determine line and load impedance values 6 Differential Signaling Two Port Network Theory Network theory is based on the property that a linear system can be completely characterized by parameters measured ONLY at the input & output ports without regard to the content of the system Networks can have any number of ports, however, consideration of a 2-port network is sufficient to explain the theory A 2-port network has 1 input and 1 output port....
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## This note was uploaded on 08/23/2009 for the course ECLT 865 taught by Professor Yinchaochen during the Spring '03 term at South Carolina.

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Class2_7_8_9_frequency_domain - 1 Differential Signaling...

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