INTRODUCTION TO WAVEFORM INTERPRETATION
LEARNING OBJECTIVES
Upon completion of this chapter, you will be able to do the following:
-
Explain the use of waveform interpretation in testing applications.
-
Identify the different types of modulation and methods of measuring modulation.
-
Explain the various uses of spectrum analyzers.
-
Explain the various uses of time-domain reflectometers.
-
Identify the various tests that can be performed with the swept-frequency technique.
INTRODUCTION TO WAVEFORM INTERPRETATION
Measurements performed with oscilloscopes, time-domain reflectometers, and spectrum
analyzers enable you to view the signal produced by the equipment or circuit under test.
However, a visual display is of no value unless you are able to interpret the signal
characteristics.
A displayed waveform is a representation of a varying signal related to time. You can
graphically plot an unknown waveform by using a system of coordinates in which the
amplitude of the unknown signal is plotted linearly against time. An analysis of the
resultant waveform provides you with valuable information in determining the
characteristics of many electronic (and some mechanical) devices. For example, the
waveform of a signal may indicate the presence of harmonics or parasitic oscillations, or
it may indicate how closely a device is following a desired cycle of operation. As the
parts in an amplifier begin to shift in value or deteriorate, waveform distortion often
occurs and indicates abnormal operation of a circuit and often precedes circuit breakdown.
Malfunctioning of electrical or electronic circuits within equipment can usually be
traced, by waveform inspection, to a specific part or parts of the circuit responsible for
the distorted signal. On the basis of these facts, it is apparent that there is an
important need for test equipment that can provide a visual presentation of a waveform at
the instant of its occurrence in a circuit.
DISTORTION is a term used by technicians and engineers alike that generally signifies
dissatisfaction with the shape of the wave processed by an amplifier. Distortion of a
waveform is the undesired change or deviation in the shape of the observed signal with
respect to a reference waveform. Classifying any waveform as a distorted wave
without reference to the electronic circuitry involved is meaningless. A waveform that can
be validly termed distorted with respect to a specific amplifier circuit may be the normal
waveform to be expected from another amplifier circuit. One of the most important steps in
waveform analysis, the one that usually proves the most difficult for the maintenance
personnel, is the interpretation of patterns viewed on the test equipment.
This chapter will cover some of the basic test methods and practices associated with
waveform interpretation.
MODULATION MEASUREMENTS
Modulation measurements are sometimes required during tuning procedures to adjust
transmitting equipment for the proper amount of modulation. During maintenance tests of
modulated transmitter equipment, you should determine the amount of distortion in the
output signal and the modulation level or index. The modulation level in multiplexing
equipment is usually set at the factory or during corrective maintenance procedures.
Proper adjustment of the input signal level and automatic signal-level regulation circuits
provides the correct amount of modulation. Defects in modulation circuits of a transmitter
can be detected by measurements of the quality of the received signals at the receiver.
Corrective maintenance analysis of multiplex equipment modulation circuits can usually be
made by signal-level measurements.
Some radio transmitters, when operating in the AM mode, must be adjusted for correct
modulation during normal tuning procedures. If the modulation level is low, the
transmitter is not operating at its maximum efficiency. On the other hand, modulation in
excess of 100% produces serious distortion. Since neither of these conditions is
desirable, amplitude modulation should be maintained between 60% and 95% when possible.
The modulation level or index of AM and fm radio transmitters that operate in the vhf
range is initially adjusted by the manufacturer or during corrective maintenance. The
amplifier gain of the modulator can be initially adjusted by reference to the modulation
meter provided on the front panel of the equipment.
Pulse modulation of radar and radio beacon signals can be measured by waveform displays
presented on a standard oscilloscope. The amount of usable energy in a pulsed waveform, as
measured by a spectrum analyzer, is also an indication of the pulse modulation quality.
Attaining 100% amplitude modulation of an rf carrier with a sine wave requires a
modulating power equal to one-half of the rf carrier power. Under this condition, the
average power of the modulated carrier is equal to 1.5 times the average unmodulated
carrier power. The added power is divided equally between the upper and lower sidebands.
During the peaks of 100% modulation, the amplitude of the carrier is doubled. This will
cause the instantaneous peak power to be four times the instantaneous unmodulated peak
power P = E2/R. When voice modulation is employed, only the highest amplitude
peaks can be allowed to modulate the carrier 100%. Since many speech components do not
modulate the carrier 100%, the average power required for voice modulation is less than
that required for modulation with a sine wave. Voice peaks usually modulate a carrier 100%
when the modulation increases the average carrier output power 25% over its normal value.
Q.1 What is the result of overmodulating an AM signal? 
Q.2 For AM transmissions, the carrier is normally modulated within what range? 
AMPLITUDE-MODULATION MEASUREMENTS
An increase in the power output of an AM transmitter is indicated by an increase in
antenna current. The increase can be taken as a measure of the degree of modulation and
can be expressed as a percentage, as shown in figure 5-1. The graph for this figure was
developed from the relationship existing between the carrier power and the increased power
resulting from the added modulation power. The formula for calculating the PERCENTAGE of
MODULATION is as follows:

Figure 5-1. - Antenna current increase with amplitude modulation.
The use of this formula is based on the assumption that the modulating voltage is a
pure sine wave. Normal broadcasting, however, is characterized by complex envelope
patterns, as illustrated in figure 5-2. In this light, the previous formula is not so
clear. Consequently, the preceding formula should be viewed more correctly as the
PERCENTAGE OF POSITIVE PEAK MODULATION. When the minimum voltage (E min)
rather than the peak voltage (Emax) is used to compute percentage of
modulation, the computed percentage (shown below) is the PERCENTAGE OF NEGATIVE
PEAK MODULATION:
Figure 5-2. - Rf carrier amplitude-modulated by a complex wave envelope.
Since the preceding two modulation percentages often differ, you should define the
AVERAGE PERCENTAGE OF MODULATION, as shown below (refer to fig. 5-3):
Figure 5-3. - Rf amplitude percentage modulation wave envelope.
From the preceding definitions of percentage of modulation, you should note that
methods of measuring all three types of modulation percentages must be devised.
When differing values are obtained, however, the cause may not necessarily be directly
related to unequal positive and negative peaks of a complex modulation wave. Another
possibility is distortion caused by carrier shift. Distortion may also be produced by
effects other than the modulation process - for example, parasitic oscillation, nonlinear
radio-frequency amplification of modulated signals, and distortion present in the audio
amplifiers.
Unfortunately, continuous variations in the percentage of modulation create a number of
additional problems. For example, damping is necessary so that a meter can provide an
average reading despite fluctuations. An average reading, on the other hand, will not
disclose the presence of transient overmodulation. This shortcoming is serious because of
the large number of sideband frequencies produced in addition to the normal ones whenever
overmodulation occurs. Not only do these extra frequencies interfere drastically with
other transmissions, but they also may significantly distort the modulation signal. These
considerations account for the importance of using a meter that responds to modulation
peak; specifically, both positive-peak and negative-peak overmodulation must be indicated.
Positive-peak overmodulation occurs when the positive modulation exceeds 100%;
negative-peak overmodulation occurs when the negative modulation exceeds 100%.