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Agilent
Fundamentals of RF and Microwave
Power Measurements (Part 1)
Introduction to Power, History, Definitions,
International Standards & Traceability


                    Application Note 1449-1
    For user convenience, Agilent's       Fundamentals of RF and Microwave Power
    Fundamentals of RF and
    Microwave Power Measurements,
                                          Measurements (Part 1)
    application note 64-1, literature     Introduction to Power, History, Definitions, International
    number 5965-6330E, has been           Standards, and Traceability
    updated and segmented into four       AN 1449-1, literature number 5988-9213EN
    technical subject groupings. The
    following abstracts explain how the   Part 1 introduces the historical basis for power measurements, and provides
    total field of power measurement      definitions for average, peak, and complex modulations. This application
    fundamentals is now presented.        note overviews various sensor technologies needed for the diversity of test
                                          signals. It describes the hierarchy of international power traceability,
                                          yielding comparison to national standards at worldwide national measure-
                                          ment institutes (NMIs) like the U.S. National Institute of Standards and
                                          Technology. Finally, the theory and practice of power sensor comparison
                                          procedures are examined with regard to transferring calibration factors and
                                          uncertainties. A glossary is included which serves all four parts.

                                          Fundamentals of RF and Microwave Power
                                          Measurements (Part 2)
                                          Power Sensors and Instrumentation
                                          AN 1449-1, literature number 5988-9214EN
                                          Part 2 presents all the viable sensor technologies required to exploit the wide
                                          range of unknown modulations and signals under test. It starts with explana-
                                          tions of the sensor technologies, and how they came to be to meet certain
                                          measurement needs. Sensor choices range from the venerable thermistor to
                                          the innovative thermocouple to more recent improvements in diode sensors.
                                          In particular, clever variations of diode combinations are presented, which
                                          achieve ultra-wide dynamic range and square-law detection for complex
                                          modulations. New instrumentation technologies, which are underpinned with
                                          powerful computational processors, achieve new data performance.

                                          Fundamentals of RF and Microwave Power
                                          Measurements (Part 3)
                                          Power Measurement Uncertainty per International Guides
                                          AN 1449-1, literature number 5988-9215EN
                                          Part 3 discusses the all-important theory and practice of expressing meas-
                                          urement uncertainty, mismatch considerations, signal flowgraphs, ISO
                                          17025, and examples of typical calculations. Considerable detail is shown on
                                          the ISO 17025, Guide for the Expression of Measurement Uncertainties, has
                                          become the international standard for determining operating specifications.
                                          Agilent has transitioned from ANSI/NCSL Z540-1-1994 to ISO 17025.

                                          Fundamentals of RF and Microwave Power
                                          Measurements (Part 4)
                                          An Overview of Agilent Instrumentation for RF/Microwave
                                          Power Measurements
                                          AN 1449-1, literature number 5988-9216EN
                                          Part 4 overviews various instrumentation for measuring RF and microwave
                                          power, including spectrum analyzers, microwave receivers, network/spec-
                                          trum analyzers, and the most accurate method, power sensors/meters. It
                                          begins with the unknown signal, of arbitrary modulation format, and draws
                                          application-oriented comparisons for selection of the best instrumentation
                                          technology and products.
                                          Most of the chapter is devoted to the most accurate method, power meters
                                          and sensors. It includes comprehensive selection guides,frequency coverages,
                                          contrasting accuracy and dynamic performance to pulsed and complex
                                          digital modulations. These are especially crucial now with the advances in
                                          wireless communications formats and their statistical measurement needs.
2
Table of Contents    I. Introduction ......................................................................................... 4
                         The importance of power .......................................................................... 5
                         A brief history of power measurements ................................................. 6
                         A history of peak power measurements ................................................. 7


                    II. Power Measurement Fundamentals................................ 9
                         Understanding the characteristics of the signal under test ................ 9
                         Units and definitions.................................................................................. 11
                         IEEE video pulse standards adapted for microwave pulses ............... 15
                         Peak power waveform definitions............................................................ 16
                         A typical wireless modulation format ..................................................... 17
                         Three technologies for sensing power .................................................... 17
                         An overview of power sensors and meters for pulsed and complex
                           modulations ............................................................................................ 18
                         Key power sensor parameters .................................................................. 18
                         Data computation for statistical parameters of power analysis ......... 20


                    III. The Chain of Power Traceability ......................................... 21
                         The hierarchy of power measurement, national standards and
                           traceability .............................................................................................. 21
                         The theory and practice of sensor calibration....................................... 23
                         Some measurement considerations for power sensor comparisons .. 24
                         Typical sensor comparison system .......................................................... 24
                         Thermistors as power transfer standards .............................................. 26
                         Other DC substitution meters................................................................... 26
                         Peak power sensor calibration traceability ............................................ 27
                         Network analyzer source system.............................................................. 28
                         NIST Six-port calibration system ............................................................. 28


                    IV. Glossary and List of Symbols ................................................ 30




                                                                                                                                            3
                      The purpose of the new series of Fundamentals of RF and Microwave Power
    I. Introduction   Measurements application notes, which were leveraged from former note 64-1,
                      is to

                      1) Retain tutorial information about historical and fundamental
                         considerations of RF/microwave power measurements and technology
                         which tend to remain timeless.

                      2) Provide current information on new meter and sensor technology.

                      3) Present the latest modern power measurement techniques and test
                         equipment that represents the current state-of-the-art.

                      Part 1, Chapter 1 reviews the commercial and technical importance of making
                      power measurements, equity in trade, the cost of measurement uncertainties,
                      and the need for two power measurements of the same unit under test will be
                      the same at two locations in the world. It then presents a brief history of power
                      techniques, and additionally a history of peak power techniques.

                      Chapter 2 shows why it is crucial to begin a power measurement task with a
                      clear understanding of the characteristics of the signal under test. With the
                      advent of new complex combinations of modulations in the 1990s and forward,
                      it also presents signal format considerations that users must evaluate when
                      pondering which sensor technologies to use.

                      The application note then defines the variety of terminology of units and
                      definitions of various power measuring terms. It shows how IEEE video pulse
                      standards were adapted by Agilent for use in microwave pulsed power
                      envelopes. Brief descriptions of modern wireless formats show how key sensor
                      performance is required to faithfully capture the system power. Various sensor
                      technologies and instrumentation are previewed from the complete descrip-
                      tions in Fundamentals Part 2.

                      Considerations necessary for capturing and digitizing microwave signals which
                      are used in modern wireless systems are presented. These often consist of
                      pulsed carriers plus digital phase modulations, which look like noise, combined
                      on the same signal. When measured with digital sampling type instrumenta-
                      tion, the powerful micro-processors can run statistical routines to reveal
                      computed data, oriented to particular customer requirements.

                      Chapter 3 presents the matter of basic measurement traceability to national
                      and world standards. It describes the hierarchy of international traceability,
                      including comparison processes to national standards at worldwide NMIs such
                      as the U.S. National Institute of Standards and Technology, Boulder, CO.

                      The application note reviews the theory and practice of sensor calibration
                      processes and the need for transportable sensor artifacts which can transfer
                      higher-echelon uncertainties of the NMIs to company primary lab standards.
                      It reviews special procedures needed for extended calibration processes on
                      pulse-power sensors.

                      Note: In this application note numerous technical references will be made to
                      the other published parts of the Fundamentals of RF and Microwave Power
                      Measurements series. For brevity, we will use the format Fundamentals Part X.
                      This should insure that you can quickly locate the concept in the other
                      publication. Brief abstracts for the four-part series are provided on the inside
                      the front cover.




4
The importance of power
The output power level of a system or component is frequently the critical fac-
tor in the design, and ultimately the purchase and performance of almost all
radio frequency and microwave equipment. The first key factor is the concept
of equity in trade. When a customer purchases a product with specified power
performance for a negotiated price, the final production-line test results need
to agree with the customer's incoming inspection data. These shipping, receiv-
ing, installation or commissioning phases often occur at different locations,
and sometimes across national borders. The various measurements must be
consistent within acceptable uncertainties.

Secondly, measurement uncertainties cause ambiguities in the realizable per-
formance of a transmitter. For example, a 10-W transmitter costs more than a
5-W transmitter. Twice the power output means twice the geographical area is
covered or 40% more radial range for a communication system. Yet, if the over-
all measurement uncertainty of the final product test is on the order of 



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