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Network Analyzer
Measurements: Filter and
Amplifier Examples

Application Note 1287-4
                           Table of Contents




                                                           Page

                           Introduction                       2
                           Measuring a Filter                 2
                           Error Correction for Accurate
                             Passband Measurements            3
                           Swept-Power Amplifier
                             Measurements                     4
                           Evaluating AM-to-PM
                             Conversion                       5
                                                                                                              2




Introduction                 The network analyzer is used for a variety of device and component
                             characterization tasks in both laboratory and production environments.
                             This highly accurate instrument can evaluate both active and passive
                             components, as will be demonstrated in this application note for
                             measurements of a filter and amplifier. With the addition of time-domain
                             capability, a network analyzer can also gate out unwanted responses
                             during measurements, leaving only the desired information.

                             Hewlett-Packard Company offers a wide range of RF and microwave
                             network analyzers for measurements from DC to 110 GHz. These
                             instruments are available with a wide range of options and test sets to
                             simplify measurements in stand-alone and automatic-test-equipment
                             (ATE) setups.

                             Often, both the magnitude and phase behavior of a component can be
                             critical to the performance of a communications system. A vector network
                             analyzer can provide information on a wide range of these devices, from
                             active devices such as amplifiers and transistors, to passive devices such as
                             capacitors and filters. This application note illustrates swept-frequency
                             measurements on an RF filter, and swept-power measurements on a
                             communications-band amplifier. The amplifier is typical of those used in
                             Global System for Mobile Communications (GSM) service.


Measuring a Filter           Complete characterization of filters is typically achieved with swept-
                             frequency measurements. Shown in Figure 1 are the frequency responses
                             of a filter. On the left and bottom we see the transmission response in
                             log magnitude format, and on the right we see the reflection response
                             (return loss).

                             The most commonly measured filter characteristics are insertion loss and
                             bandwidth, shown on the lower plot with an expanded vertical scale.
                             Another common measured parameter is out-of-band rejection. This is a
                             measure of how well a filter passes signals within its bandwidth while
                             simultaneously rejecting signals well outside that same bandwidth. A test
                             system's dynamic range generally determines how well it can evaluate
                             this characteristic.

           Figure 1.
           Testing Filters                                                                                               CH1S11       log MAG    5 dB/      REF 0 dB
                                         CH1S21    log MAG    10 dB/ REF 0 dB
           with Frequency
           Sweeps
                                   Cor


                                                                                        Stopband
                                                                     69.1 dB            rejection




                                                                                                                         CENTER 200.000 MHz              SPAN 50.000 MHz
                                         START .300 000 MHz
                                                                       CH1
                                                                     STOP S21   log MAG  1
                                                                           400.000 000 MHz dB/                     REF 0 dB
                                                                                                                                                Return loss
                                                                    Cor
                                                                                                    1

                                                                                                 m1:     4.000 000 GHz -0.16 dB
                                                                                                 m2-ref: 2.145 234 GHz 0.00 dB


                                                                                                                     2
                                            Insertion loss                            ref



                                                                    Cor




                                                                    x2 1                                                          2
                                                                           START 2 000.000 MHz          STOP 6 000.000 MHz
                                                                               3




                             The return loss plot is typical of passive reflective filters, showing high
                             reflection (near 0 dB) in the stopbands, and good impedance matching in
                             the passband. A different type of filter, known as an absorptive filter, tends
                             to be well matched in both the stopband and passband, providing a good
                             match over a broad frequency range.



Error Correction for         Variation from a constant amplitude response within the filter's bandwidth
Accurate Passband            results in signal distortion. Error correction is often essential for accurate
                             measurements of filter passbands. When a filter's passband is measured
Measurements                 with a network analyzer without calibration, the response may vary
                             considerably, depending on the network analyzer and test cables used
                             (Figure 2).

                             When the same filter is evaluated after doing a response calibration
                             (normalization), the test system's transmission-tracking frequency-
                             response error is removed from the measured response, resulting in a
                             much narrower amplitude-distortion window. After normalization, the
                             filter's displayed frequency response still shows some amplitude ripple
                             caused by interaction between the test system's source and load match.
                             This ripple even goes above the 0 dB reference line, indicating gain (which
                             is impossible since passive devices cannot amplify signals). This apparent
                             anomaly is due to mismatch measurement error. By performing a two-port
                             calibration prior to the filter measurement, these errors are removed.

                             Following vector-error correction (two-port calibration), it is apparent
                             that the filter's passband amplitude response varies by only 



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