Department of Electrical & Electronic Engineering — Egerton University

FM Stereo Broadcasting — Quiz

EEEN 462 – Analog Communications  |  4th Year

12 Questions  •  Post-Test Answers & Explanations

Instructions to Students

  1. Attempt all 12 questions. Each question carries 1 mark (total: 12 marks).
  2. Select the best answer by clicking on an option, then press "Submit & Show Answers" to reveal the correct answers, explanations, and your score.
  3. Questions are restricted to the first three levels of Bloom's taxonomy: Remember, Understand, and Apply.
  4. Time guide: 20 minutes. A non-programmable calculator is allowed for the Apply questions.
Bloom's LevelWhat it testsQuestions
Level 1 — RememberRecalling multiplex components, frequencies, roles1–4
Level 2 — UnderstandExplaining DSB-SC choice, pilot role, compatibility, blending5–9
Level 3 — ApplyComputing budgets, sideband placement, corner frequencies10–12
1. In the FM stereo multiplex system, the main (mono-compatible) channel transmits:Remember
  • (a) only the 19 kHz pilot tone
  • (b) L − R on a 38 kHz subcarrier
  • (c) L and R on separate FM carriers
  • (d) L + R as an ordinary 0–15 kHz baseband signal

Correct answer: L + R as an ordinary 0–15 kHz baseband signal..

The sum signal L+R occupies the normal audio band, so any mono receiver simply low-pass filters at 15 kHz and reproduces the full programme without modification.

2. In the stereo multiplex signal, the difference information L−R is transmitted as:Remember
  • (a) an AM signal on a 19 kHz carrier
  • (b) a DSB-SC signal on a 38 kHz subcarrier
  • (c) an SSB signal on a 57 kHz subcarrier
  • (d) an FM signal on a 67 kHz subcarrier

Correct answer: a DSB-SC signal on a 38 kHz subcarrier..

The difference channel modulates a 38 kHz subcarrier in double-sideband suppressed-carrier form, placing sidebands between 23 and 53 kHz. The 19 kHz tone is only the pilot, and 57/67 kHz belong to RDS/SCA services.

3. The purpose of the 19 kHz pilot tone in FM stereo broadcasting is to:Remember
  • (a) allow the receiver to regenerate the 38 kHz subcarrier coherently
  • (b) mark the upper edge of the audio band
  • (c) provide the left-channel audio reference
  • (d) increase the transmitted power of the L−R signal

Correct answer: regenerate the 38 kHz subcarrier coherently..

The receiver filters the 19 kHz pilot and doubles it (×2) to rebuild the 38 kHz carrier with exactly the right frequency and phase for coherent demodulation of the L−R DSB-SC signal.

4. The standard frequency of the suppressed subcarrier used for the L−R channel in FM stereo is:Remember
  • (a) 38 kHz
  • (b) 76 kHz
  • (c) 19 kHz
  • (d) 57 kHz

Correct answer: 38 kHz..

The L−R difference signal modulates a 38 kHz subcarrier (DSB-SC); 19 kHz is its half-frequency pilot, 57 kHz carries RDS data, and 76 kHz is simply twice the subcarrier frequency.

5. Why is the L−R channel transmitted as DSB-SC rather than with the 38 kHz subcarrier present?Understand
  • (a) DSB-SC doubles the audio bandwidth available
  • (b) Envelope detection of DSB-SC gives better audio quality
  • (c) The FCC prohibits transmitting any carrier above 19 kHz
  • (d) Suppressing the subcarrier saves modulation budget/power and lets the receiver control demodulation phase via the pilot

Correct answer: power/budget savings and pilot-controlled phase..

A full-strength 38 kHz carrier would consume modulation percentage without carrying information, and the receiver would lose phase control. DSB-SC keeps the carrier out of the spectrum so the receiver's pilot-derived reference decides the demodulation phase — a phase error there would leak L into R.

6. Why was 19 kHz chosen for the pilot tone instead of simply transmitting a low-level 38 kHz tone?Understand
  • (a) 19 kHz avoids interference with the RDS subcarrier
  • (b) Transmitters cannot generate 38 kHz at low power
  • (c) A 38 kHz tone would fall inside the L−R sideband spectrum and could not be separated cleanly
  • (d) 19 kHz is above the range of human hearing

Correct answer: a 38 kHz pilot would sit on top of the DSB-SC spectrum..

The 38 kHz point is the centre of the L−R sideband cluster, so a pilot there would be impossible to filter out. The 19 kHz pilot instead sits in the quiet gap between 15 kHz and 23 kHz, and doubling it in the receiver regenerates 38 kHz exactly.

7. In a stereo receiver, the product demodulator output for the difference channel is proportional to:Understand
  • (a) the amplitude of the 19 kHz pilot only
  • (b) cos φ where φ is the phase error between the regenerated carrier and the transmitter's subcarrier
  • (c) φ itself, independent of the message
  • (d) sin φ where φ is the carrier phase error

Correct answer: cos φ..

Multiplying [L−R]cos(ω_c t) by the regenerated cos(ω_c t + φ) and low-pass filtering yields ½[L−R]cos φ. Perfect lock (φ = 0°) gives full L−R; a 90° error kills the difference channel entirely and intermediate values mix L into R.

8. When a mono receiver tunes to a stereo FM transmission, it reproduces:Understand
  • (a) a distorted mixture of L and R
  • (b) the full programme as mono (L+R), since its 15 kHz audio filter rejects the pilot and DSB-SC band
  • (c) nothing, because stereo requires a stereo receiver
  • (d) only the left channel

Correct answer: the full programme as mono (L+R)..

The mono receiver's audio low-pass filter passes only the 0–15 kHz main channel. The 19 kHz pilot and the 23–53 kHz difference channel are rejected, so the listener hears L+R — exactly the compatibility goal of the Zenith–GE system.

9. Why do many stereo receivers blend to mono when the received signal is weak?Understand
  • (a) The pilot tone becomes too strong and overloads the demodulator
  • (b) The 38 kHz doubler stops working at low RF levels
  • (c) FM capture effect locks onto a neighbouring station
  • (d) The L−R difference channel is noisier than L+R, so muting it avoids audible hiss while keeping the mono-compatible sum

Correct answer: the difference channel degrades first..

Under weak-signal conditions the S/N of the recovered L−R collapses faster than L+R (the DSB-SC path is more vulnerable), so the receiver mutes the difference path and outputs L+R to both speakers — trading stereo separation for listenable audio.

10. A station sets L+R at 45%, the pilot at 10%. What maximum modulation percentage remains available for the L−R channel without exceeding 100%?Apply
  • (a) 35%
  • (b) 50%
  • (c) 45%
  • (d) 55%

Correct answer: 45%..

The modulation budget is shared: 100% − 45% (L+R) − 10% (pilot) = 45% for L−R. This equal 45%/45% split is precisely the standard stereo allocation; exceeding it would push peak deviation past ±75 kHz and cause adjacent-channel splatter.

11. The L−R channel contains a strong 4 kHz tone. At which frequencies does this tone appear in the stereo multiplex baseband spectrum?Apply
  • (a) 34 kHz and 42 kHz
  • (b) 4 kHz only
  • (c) 23 kHz and 53 kHz
  • (d) 19 kHz and 38 kHz

Correct answer: 34 kHz and 42 kHz..

DSB-SC translates the message to subcarrier ± message frequency: 38 kHz ± 4 kHz = 34 kHz (lower sideband) and 42 kHz (upper sideband). The tone does NOT appear at baseband in the multiplex signal — the L+R band carries the sum instead.

12. A receiver uses 75 µs de-emphasis. The −3 dB corner frequency of the de-emphasis network is approximately:Apply
  • (a) 3.2 kHz
  • (b) 21.2 kHz
  • (c) 2.1 kHz
  • (d) 15 kHz

Correct answer: 2.1 kHz..

f_c = 1/(2πτ) = 1/(2π × 75×10⁻⁶) ≈ 2122 Hz ≈ 2.1 kHz. (For the 50 µs standard used in Europe the corner is ≈ 3.2 kHz.) The pre-emphasis at the transmitter uses the same time constant so the net audio response is flat while high-frequency noise is reduced.

Quick Answer Key (for Instructors)

QAnsBloom levelQAnsBloom level
1dRemember7bUnderstand
2bRemember8bUnderstand
3aRemember9dUnderstand
4aRemember10cApply
5dUnderstand11aApply
6cUnderstand12cApply