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Understanding the
Fundamental Principles
of Vector Network Analysis


Application Note 1287-1
                             Table of Contents




                                                            Page

                             Introduction                      2
                             Measurements in
                               Communications Systems          2
                             Importance of Vector
                               Measurements                    4
                             The Basis of Incident and
                               Reflected Power                 5
                             The Smith Chart                   5
                             Power Transfer Conditions         6
                             Network Analysis Terminology      9
                             Measuring Group Delay            11
                             Network Characterization         12
                                                                                          2




Introduction               Network analysis is the process by which designers and manufacturers
                           measure the electrical performance of the components and circuits used in
                           more complex systems. When these systems are conveying signals with
                           information content, we are most concerned with getting the signal from
                           one point to another with maximum efficiency and minimum distortion.
                           Vector network analysis is a method of accurately characterizing such
                           components by measuring their effect on the amplitude and phase of
                           swept-frequency and swept-power test signals.

                           In this application note, the fundamental principles of vector network
                           analysis will be reviewed. The discussion includes the common parameters
                           that can be measured, including the concept of scattering parameters
                           (S-parameters). RF fundamentals such as transmission lines and the
                           Smith chart will also be reviewed.

                           Hewlett-Packard Company offers a wide range of both scalar and vector
                           network analyzers for characterizing components from DC to 110 GHz.
                           These instruments are available with a wide range of options to simplify
                           testing in both laboratory and production environments.



Measurements in            In any communications system, the effect of signal distortion must be
Communications             considered. While we generally think of the distortion caused by nonlinear
Systems                    effects (for example, when intermodulation products are produced from
                           desired carrier signals), purely linear systems can also introduce signal
                           distortion. Linear systems can change the time waveform of signals
                           passing through them by altering the amplitude or phase relationships
                           of the spectral components that make up the signal.

                           Let's examine the difference between linear and nonlinear behavior
                           more closely.

                           Linear devices impose magnitude and phase changes on input signals
                           (Figure 1). Any sinusoid appearing at the input will also appear at the
                           output, and at the same frequency. No new signals are created. Both active
                           and passive nonlinear devices can shift an input signal in frequency or
                           add other frequency components, such as harmonic and spurious signals.
                           Large input signals can drive normally linear devices into compression or
                           saturation, causing nonlinear operation.


           Figure 1.
           Linear versus
           Nonlinear                                                    A * Sin 360



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