Amateur Extra E7F: Digital signal processing and SDRs

These are the 14 official questions in group E7F 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 E7F 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. E7F01Question 1

    What is meant by “direct sampling” in software defined radios?

    • ASoftware is converted from source code to object code during operation of the receiver
    • BI and Q signals are generated by digital processing without the use of RF amplification
    • CIncoming RF is digitized by an analog-to-digital converter without being mixed with a local oscillator signal Correct
    • DA switching mixer is used to generate I and Q signals directly from the RF input

    Why: Direct sampling digitizes the RF without mixing it with an LO first.

  2. E7F02Question 2

    What kind of digital signal processing audio filter is used to remove unwanted noise from a received SSB signal?

    • AAn adaptive filter Correct
    • BA crystal-lattice filter
    • CA Hilbert-transform filter
    • DA phase-inverting filter

    Why: An adaptive filter removes noise from received SSB.

  3. E7F03Question 3

    What type of digital signal processing filter is used to generate an SSB signal?

    • AAn adaptive filter
    • BA notch filter
    • CA Hilbert-transform filter Correct
    • DAn elliptical filter

    Why: A Hilbert-transform filter is used to generate SSB.

  4. E7F04Question 4

    Which method generates an SSB signal using digital signal processing?

    • AMixing products are converted to voltages and subtracted by adder circuits
    • BA frequency synthesizer removes unwanted sidebands
    • CVarying quartz crystal characteristics are emulated in digital form
    • DSignals are combined in quadrature phase relationship Correct

    Why: DSP makes SSB by combining signals in quadrature.

  5. E7F05Question 5

    How frequently must an analog signal be sampled to be accurately reproduced?

    • AAt least half the rate of the highest frequency component of the signal
    • BAt least twice the rate of the highest frequency component of the signal Correct
    • CAt the same rate as the highest frequency component of the signal
    • DAt four times the rate of the highest frequency component of the signal

    Why: Sample at least twice the highest frequency (the Nyquist rate).

  6. E7F06Question 6

    What is the minimum number of bits required to sample a signal with a range of 1 volt at a resolution of 1 millivolt?

    • A4 bits
    • B6 bits
    • C8 bits
    • D10 bits Correct

    Why: 1 V ÷ 1 mV = 1,000 levels; 2¹⁰ = 1,024, so 10 bits.

  7. E7F07Question 7

    What function is performed by a Fast Fourier Transform?

    • AConverting analog signals to digital form
    • BConverting digital signals to analog form
    • CConverting signals from the time domain to the frequency domain Correct
    • DConverting signals from the frequency domain to the time domain

    Why: An FFT converts the time domain to the frequency domain.

  8. E7F08Question 8

    What is the function of decimation?

    • AConverting data to binary-coded decimal form
    • BReducing the effective sample rate by removing samples Correct
    • CAttenuating the signal
    • DRemoving unnecessary significant digits

    Why: Decimation reduces the sample rate by removing samples.

  9. E7F09Question 9

    Why is an anti-aliasing filter required in a decimator?

    • AIt removes high-frequency signal components that would otherwise be reproduced as lower frequency components Correct
    • BIt peaks the response of the decimator, improving bandwidth
    • CIt removes low-frequency signal components to eliminate the need for DC restoration
    • DIt notches out the sampling frequency to avoid sampling errors

    Why: The filter removes high frequencies that would alias into false low frequencies.

  10. E7F10Question 10

    What aspect of receiver analog-to-digital conversion determines the maximum receive bandwidth of a direct-sampling software defined radio (SDR)?

    • ASample rate Correct
    • BSample width in bits
    • CIntegral non-linearity
    • DDifferential non-linearity

    Why: The sample rate sets a direct-sampling SDR's maximum bandwidth.

  11. E7F11Question 11

    What sets the minimum detectable signal level for a direct-sampling software defined receiver in the absence of atmospheric or thermal noise?

    • ASample clock phase noise
    • BReference voltage level and sample width in bits Correct
    • CData storage transfer rate
    • DMissing codes and jitter

    Why: The ADC's reference voltage and bit width set the smallest detectable signal.

  12. E7F12Question 12

    Which of the following is generally true of Finite Impulse Response (FIR) filters?

    • AFIR filters can delay all frequency components of the signal by the same amount Correct
    • BFIR filters are easier to implement for a given set of passband rolloff requirements
    • CFIR filters can respond faster to impulses
    • DAll these choices are correct

    Why: FIR filters can delay all frequencies by the same amount.

  13. E7F13Question 13

    What is the function of taps in a digital signal processing filter?

    • ATo reduce excess signal pressure levels
    • BProvide access for debugging software
    • CSelect the point at which baseband signals are generated
    • DProvide incremental signal delays for filter algorithms Correct

    Why: Taps provide incremental signal delays for the filter.

  14. E7F14Question 14

    Which of the following would allow a digital signal processing filter to create a sharper filter response?

    • AHigher data rate
    • BMore taps Correct
    • CLower Q
    • DDouble-precision math routines

    Why: More taps make a sharper DSP filter.

Learn E7F 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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