Amateur Extra E8A: Waveforms and analog-to-digital conversion

These are the 11 official questions in group E8A of the 2024–2028 Amateur Extra question pool, with the correct answer marked and a plain-English explanation of why it's right. The real exam asks one question from this group.

Learn E8A step by stepThe Amateur Extra course teaches this group in a short guided lesson, then drills you on the questions you miss. Start with the free lessons to see how it works.
  1. E8A01Question 1

    What technique shows that a square wave is made up of a sine wave and its odd harmonics?

    • AFourier analysis Correct
    • BVector analysis
    • CNumerical analysis
    • DDifferential analysis

    Why: Fourier analysis shows a square wave is a sine wave plus its odd harmonics.

  2. E8A02Question 2

    Which of the following is a type of analog-to-digital conversion?

    • ASuccessive approximation Correct
    • BHarmonic regeneration
    • CLevel shifting
    • DPhase reversal

    Why: Successive approximation is a type of ADC.

  3. E8A03Question 3

    Which of the following describes a signal in the time domain?

    • APower at intervals of phase
    • BAmplitude at different times Correct
    • CFrequency at different times
    • DDiscrete impulses in time order

    Why: The time domain shows amplitude at different times.

  4. E8A04Question 4

    What is “dither” with respect to analog-to-digital converters?

    • AAn abnormal condition where the converter cannot settle on a value to represent the signal
    • BA small amount of noise added to the input signal to reduce quantization noise Correct
    • CAn error caused by irregular quantization step size
    • DA method of decimation by randomly skipping samples

    Why: Dither is a little noise added to reduce quantization noise.

  5. E8A05Question 5

    What is the benefit of making voltage measurements with a true-RMS calculating meter?

    • AAn inverse Fourier transform can be used
    • BThe signal’s RMS noise factor is also calculated
    • CThe calculated RMS value can be converted directly into phasor form
    • DRMS is measured for both sinusoidal and non-sinusoidal signals Correct

    Why: A true-RMS meter measures RMS correctly for sine and non-sine signals.

  6. E8A06Question 6

    What is the approximate ratio of PEP-to-average power in an unprocessed single-sideband phone signal?

    • A2.5 to 1 Correct
    • B25 to 1
    • C1 to 1
    • D13 to 1

    Why: Unprocessed SSB voice has a PEP-to-average ratio of about 2.5:1.

  7. E8A07Question 7

    What determines the PEP-to-average power ratio of an unprocessed single-sideband phone signal?

    • AThe frequency of the modulating signal
    • BSpeech characteristics Correct
    • CThe degree of carrier suppression
    • DAmplifier gain

    Why: The characteristics of speech set SSB's PEP-to-average ratio.

  8. E8A08Question 8

    Why are direct or flash conversion analog-to-digital converters used for a software defined radio?

    • AVery low power consumption decreases frequency drift
    • BImmunity to out-of-sequence coding reduces spurious responses
    • CVery high speed allows digitizing high frequencies Correct
    • DAll these choices are correct

    Why: Flash converters are very fast, so they can digitize high frequencies.

  9. E8A09Question 9

    How many different input levels can be encoded by an analog-to-digital converter with 8-bit resolution?

    • A8
    • B8 multiplied by the gain of the input amplifier
    • C256 divided by the gain of the input amplifier
    • D256 Correct

    Why: 2⁸ = 256 levels.

  10. E8A10Question 10

    What is the purpose of a low-pass filter used at the output of a digital-to-analog converter?

    • ALower the input bandwidth to increase the effective resolution
    • BImprove accuracy by removing out-of-sequence codes from the input
    • CRemove spurious sampling artifacts from the output signal Correct
    • DAll these choices are correct

    Why: The low-pass filter removes sampling artifacts from a DAC's output.

  11. E8A11Question 11

    Which of the following is a measure of the quality of an analog-to-digital converter?

    • ATotal harmonic distortion Correct
    • BPeak envelope power
    • CReciprocal mixing
    • DPower factor

    Why: Total harmonic distortion is a measure of ADC quality.

Learn E8A step by stepThe Amateur Extra course teaches this group in a short guided lesson, then drills you on the questions you miss. Start with the free lessons to see how it works.
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