⚡ Spark Academy53 lessons

AM & the Envelope Detector

How music rides on a megahertz wave — and how a diode and an RC, your oldest friends, get it back off.

lesson 3 of 3 in this unit

Builds on: 9.2 Tuning: Picking a Station3.1 Diodes & LEDs2.3 Capacitors & the RC Time Constant5.2 Rectifiers: AC → DC

Putting sound on a wave

Audio itself (20 Hz–20 kHz) won’t radiate from any reasonable antenna — the waves are kilometres long. So we let the audio ride on a high-frequency carrier that radiates beautifully. The oldest scheme is amplitude modulation: wiggle the carrier’s strength in step with the sound.

v(t) = (1 + m·audio(t)) · sin(2π·f_c·t)m = modulation depth · the audio lives in the carrier's outline — its envelope

Squint at an AM waveform and you see it: a fast carrier filling a slow-moving outline. The outline is the audio. Recover the outline and you have sound.

The envelope detector: three old parts

Here is the loveliest circuit in this course, because you already know every piece:

  1. A diode (3.1) throws away the bottom half of the wave — a half-wave rectifier (5.2), just at radio frequency.
  2. A capacitor charges to each carrier peak…
  3. …and a resistor lets it sag just fast enough to follow the outline down. Charging fast, discharging slow — your RC smoothing (5.2) with a musical purpose.

The RC choice is a Goldilocks problem: too small and carrier ripple leaks through (buzz); too large and the output can’t follow the audio downhill (a distortion called diagonal clipping). The lab lets you find the sweet spot: 1/fc ≪ RC ≪ 1/fa.

The crystal radio

Chain the last three lessons — antenna, tuned LC tank, diode + RC detector, and a sensitive earphone — and you have a crystal radio: a complete receiver with no battery, powered entirely by the energy the station transmits. Generations of engineers began exactly there. (Fewer AM stations remain on air in some regions these days — which is why your hands-on capstone ahead is a different build — but the circuit remains the finest teaching machine electronics ever produced.)

Beyond AM

FM hides the audio in the carrier’s frequency instead of its strength (better noise immunity); digital radio hides bits in phase and amplitude at once. All of them are still: a carrier, a modulation, a detector.

⚡ Lab — Riding the Carrier

An AM signal and a diode + RC detector chasing its envelope.

  • Set modulation to 100% and watch the envelope pinch to zero between beats.
  • Make RC tiny: the detector output buzzes with carrier ripple.
  • Make RC huge: it sails over the audio valleys — diagonal clipping. Find Goldilocks.
60%
800 µs
The Goldilocks rule
RC must outlive a carrier cycle but react faster than the audio: 1/f_c ≪ RC ≪ 1/f_a
Old friends
a diode (3.1) and an RC (2.3) — the same parts, now decoding radio

Check your understanding

Q1. In AM, the audio information is carried in the wave's…

Q2. An envelope detector consists of…

Q3. The detector's RC must satisfy…

Q4. A crystal radio needs no battery because…