Overview
This method uses free, over-the-air time standard broadcasts (WWV, CHU, MSF, DCF77, etc.) to calibrate the TinySA's 30MHz reference with 0.1-1 ppm accuracy.
Why Radio Time Standards Work
- Transmitted from atomic clock-controlled transmitters
- Frequencies are exact within ±1×10⁻¹² (0.00001 ppm)
- Free, continuous broadcasts
- No special equipment needed (just a receiver)
- Worldwide coverage from multiple stations
What You'll Achieve
Frequency Error: < 3 Hz @ 30MHz (0.1 ppm)
Accuracy: Limited by propagation and receiver quality
Cost: $0-20 (if you have receiver/SDR)
Time Required: 30-60 minutes
Available Time Standard Broadcasts
Worldwide Time Standard Stations
| Station | Country | Frequencies | Power | Coverage |
|---|---|---|---|---|
| WWV | USA (Colorado) | 2.5, 5, 10, 15, 20, 25 MHz | 2.5-10 kW | North America, Pacific |
| WWVH | USA (Hawaii) | 2.5, 5, 10, 15 MHz | 5-10 kW | Pacific, Asia |
| CHU | Canada | 3.330, 7.850, 14.670 MHz | 3-10 kW | North America |
| MSF | UK | 60 kHz | 60 kW | Europe |
| DCF77 | Germany | 77.5 kHz | 50 kW | Europe |
| JJY | Japan | 40/60 kHz | 50 kW | Japan, East Asia |
| BPC | China | 68.5 kHz | 90 kW | China, Asia |
| RBU | Russia | 66.66 kHz | 10 kW | Russia |
Note: WWV at 10 MHz was discontinued in 2023 to save costs. Only 2.5, 5, 15, 20, and 25 MHz remain operational.
Best Stations for Calibration
North America: - CHU (Canada) - 7.850 MHz or 14.670 MHz (best) - WWV - 5 MHz or 15 MHz - WWVH - 5 MHz or 15 MHz
Europe: - DCF77 - 77.5 kHz (strongest in Europe) - MSF - 60 kHz (UK and Western Europe)
Asia: - JJY - 40 or 60 kHz - BPC - 68.5 kHz
Worldwide: - Any station you can receive clearly - HF stations (3-20 MHz) work best for long distance - LF stations (60-77 kHz) work best locally
Required Materials
Minimum Setup (Free if you have equipment)
| Item | Cost | Notes |
|---|---|---|
| Shortwave receiver | $0-50 | Or any HF-capable radio |
| OR RTL-SDR dongle | $25-35 | USB SDR receiver |
| Wire antenna | $0-5 | Random wire, 20-50 feet |
| TinySA | $100-150 | Owner supplied |
| 3.5mm audio cable | $2 | Receiver to TinySA |
Recommended Setup
| Item | Cost | Purpose |
|---|---|---|
| RTL-SDR v3 | $30 | Clean, stable reception |
| Upconverter (for LF) | $20 | Receive 60-77 kHz stations |
| Antenna wire | $5 | 50-100 ft wire |
| Audio interface | $10 | Clean signal connection |
Tools
- Computer (for SDR software)
- Basic audio editing software (Audacity, free)
- Calculator or spreadsheet
Theory of Operation
How Time Standard Broadcasts Work
- Master Clock: Atomic clock at transmitter site (cesium or hydrogen maser)
- Frequency Synthesis: Atomic clock generates exact carrier frequency
- Transmission: High-power transmitter broadcasts on precise frequency
- Reception: You receive the signal and use it as frequency reference
Carrier Frequency as Reference
The carrier frequency itself is the atomic clock reference: - WWV 5 MHz = exactly 5,000,000.00 Hz - CHU 7.850 MHz = exactly 7,850,000.00 Hz - DCF77 77.5 kHz = exactly 77,500.00 Hz
Zero-Beat Method
Concept: 1. Use TinySA to generate local reference frequency 2. Tune to match broadcast carrier 3. Listen for zero-beat (no audible tone = perfect match) 4. Measure frequency difference
Calibration Methods
Method 1: Direct Frequency Measurement (Simplest)
Use TinySA as spectrum analyzer to measure broadcast carrier.
Procedure
- Tune TinySA to time standard:
- WWV: 5 MHz or 15 MHz
- CHU: 7.850 MHz or 14.670 MHz
-
DCF77: 77.5 kHz
-
Connect antenna to TinySA
-
Find carrier peak on spectrum display
-
Read frequency using TinySA's marker
-
Compare to known frequency:
Known CHU: 7,850,000.00 Hz TinySA reads: 7,850,050 Hz Error: +50 Hz = +6.4 ppm -
Calculate correction:
ppm_error = (measured - actual) / actual × 10^6 ppm_error = (7,850,050 - 7,850,000) / 7,850,000 × 10^6 ppm_error = +6.37 ppm -
Apply to 30MHz reference: ``` If TinySA is 6.37 ppm fast at 7.850 MHz, it's also 6.37 ppm fast at 30 MHz
30 MHz error = 30,000,000 × 6.37/10^6 = 191 Hz Actual frequency = 30,000,191 Hz ```
- Enter correction in TinySA config: -6.37 ppm
Advantages
- Simplest method
- Direct measurement
- No additional hardware
Disadvantages
- Limited by TinySA's uncalibrated reference (circular problem)
- Need good signal strength
- Propagation effects can cause error
Method 2: Receiver + TinySA Beat Frequency (More Accurate)
Use a receiver to heterodyne against TinySA's tracking generator.
Setup
Antenna → Receiver → Audio Out → Computer/Oscilloscope
↑
TinySA → Signal Generator Mode
Procedure
- Configure TinySA as signal generator:
- Set frequency to CHU: 7.850 MHz
- Set output power: -10 dBm
-
Connect to receiver antenna input (via attenuator or loose coupling)
-
Tune receiver to CHU 7.850 MHz
-
Adjust TinySA frequency until you hear zero-beat:
- High tone: TinySA frequency too high
- Low tone: TinySA frequency too low
-
Silence (zero-beat): Perfect match
-
Fine-tune for null:
- Adjust in 1 Hz steps
- Listen in SSB or CW mode
-
Find quietest point
-
Read TinySA frequency when zero-beat achieved
-
Calculate error:
CHU actual: 7,850,000 Hz TinySA setting at zero-beat: 7,850,045 Hz Error: +45 Hz = +5.73 ppm -
Apply correction to 30 MHz reference
Advantages
- More accurate than direct measurement
- Less affected by propagation
- Works with weak signals
Disadvantages
- Requires receiver
- More setup complexity
- Skill needed to find zero-beat
Method 3: Audio Tone Method (Most Accurate)
Use WWV/CHU's audio tones as secondary reference.
Background
WWV and CHU broadcast: - 1000 Hz audio tone (except top of minute) - 500 Hz tone (first hour tone, WWV only) - Tone frequency accurate to ±0.001 Hz
Procedure
- Record 1000 Hz tone from WWV or CHU:
- Use SDR software
- Or connect receiver audio to computer
-
Record 30-60 seconds of clean tone
-
Analyze in audio software:
- Use Audacity: Analyze → Plot Spectrum
- Find peak frequency
-
Should be exactly 1000.000 Hz
-
Measure actual frequency:
- If you read 1000.5 Hz, your soundcard is 0.5 Hz fast
- This doesn't help us directly (soundcard not connected to TinySA)
Alternative: Tone Beat Method
- Generate 1000 Hz with TinySA (if capable)
- Mix with WWV 1000 Hz tone
- Listen for beat frequency
- Adjust TinySA tone generator for zero-beat
- Calculate error
Limitation: This calibrates the tone generator, not the 30 MHz reference. Only useful if tone generator uses same reference.
Method 4: Harmonic Multiplication (Advanced)
Use harmonics of lower frequency to reach 30 MHz.
Concept
If you can accurately measure a lower frequency, multiply to 30 MHz:
CHU 7.850 MHz × 4 = 31.40 MHz (close to 30 MHz)
WWV 5 MHz × 6 = 30 MHz (perfect!)
Procedure (WWV 5 MHz Example)
Problem: WWV 10 MHz was discontinued, and 5 MHz × 6 = 30 MHz.
-
Receive WWV 5 MHz
-
Generate harmonics:
- Feed into frequency multiplier (×6)
- Or: Use non-linear device (diode, saturated amplifier)
-
Output contains 5, 10, 15, 20, 25, 30 MHz harmonics
-
Filter for 30 MHz:
- Use bandpass filter
-
Or just select with TinySA spectrum analyzer
-
Compare 30 MHz harmonic to TinySA's 30 MHz reference
-
Measure beat frequency or phase
Circuit for Harmonic Generation
WWV 5 MHz → 1N4148 diode → 30 MHz bandpass filter → TinySA input
↓
Ground via resistor
Diode generates harmonics due to non-linearity
Filter passes only 6th harmonic (30 MHz)
Advantages
- Direct comparison at 30 MHz
- High accuracy possible
- Avoids frequency conversion math
Disadvantages
- Requires building hardware
- Needs signal processing
- Harmonic signal is weak
Station Selection Guide
Which Station Should You Use?
North America:
| Location | Best Station | Frequency | When |
|---|---|---|---|
| Western USA/Canada | WWV | 5, 15 MHz | Daytime |
| Eastern USA/Canada | CHU | 7.850 MHz | Anytime |
| East Coast | WWV | 5 MHz | Night |
| Pacific | WWVH | 5, 15 MHz | Daytime |
Europe: - DCF77 77.5 kHz (strongest, day/night) - MSF 60 kHz (UK, Western Europe)
Asia: - JJY 40 or 60 kHz - BPC 68.5 kHz
Propagation Considerations
HF Stations (3-20 MHz):
| Frequency | Daytime | Nighttime | Range |
|---|---|---|---|
| 2.5 MHz | Poor | Good | 0-1000 mi |
| 5 MHz | Good | Excellent | 0-2000 mi |
| 7.85 MHz (CHU) | Excellent | Good | 0-3000 mi |
| 10-15 MHz | Excellent | Fair | 0-5000 mi |
| 20-25 MHz | Fair | Poor | 0-3000 mi |
LF Stations (60-77 kHz): - Day and night: Consistent - Range: 500-1000 miles (ground wave) - Advantage: Stable, minimal fading - Disadvantage: Need upconverter for RTL-SDR
Signal Quality Check
Good signal: - S-meter reads S7 or higher - Minimal fading - Clean carrier, no distortion - Stable over 5+ minutes
Poor signal (don't use): - Weak (< S5) - Rapid fading - Noise/static - Interference from other stations
Propagation Error Correction
Ionospheric Delay
Radio waves traveling through ionosphere are delayed:
Effect on frequency: - Doppler shift from moving ionosphere: ±0.1 Hz typical - Multipath causes fading, not frequency shift - Average over 5-10 minutes to eliminate
Correction: - Take multiple measurements (10+) - Average results - Discard outliers - Prefer stable, strong signals
Multipath Interference
Multiple paths cause fading:
Symptoms: - Signal strength varies - Apparent frequency wobble - Beat notes in audio
Solutions: - Use directional antenna - Wait for stable propagation - Choose higher frequency (less multipath) - Measure during quiet ionosphere (noon, summer)
Step-by-Step Calibration Example (CHU Method)
Equipment
- RTL-SDR dongle
- 50-foot wire antenna
- Computer running SDR# or GQRX
- TinySA
Procedure
1. Setup Receiver (15 minutes)
- Connect RTL-SDR to computer
- Connect antenna to RTL-SDR
- Launch SDR software
- Set frequency: 7.850 MHz
- Set mode: AM or USB
- Adjust RF gain for strong but not overloaded signal
2. Find CHU Signal (5 minutes)
- Look for carrier on waterfall
- Should see time code modulation (digital pulses)
- Listen for voice announcements (top of hour)
- Verify it's CHU (not another station)
3. Measure Carrier Frequency (10 minutes)
- Switch to CW or narrow filter mode
- Center on carrier
- Use frequency counter in SDR software
- Record frequency: _____
4. Calculate Error
Known CHU frequency: 7,850,000.00 Hz
Measured frequency: 7,850,XXX.XX Hz (fill in your reading)
Error (Hz) = Measured - Known
Error (ppm) = (Error / Known) × 10^6
Example:
Measured: 7,850,062 Hz
Error = 7,850,062 - 7,850,000 = +62 Hz
Error (ppm) = 62 / 7,850,000 × 10^6 = +7.90 ppm
5. Apply to 30 MHz
30 MHz error = 30,000,000 × (ppm_error / 10^6)
Example:
30 MHz error = 30,000,000 × 7.90 / 10^6 = 237 Hz
Actual 30 MHz = 30,000,237 Hz
6. Enter Correction in TinySA
- CONFIG → XTAL/Reference
- Enter: -7.90 ppm (opposite sign)
- SAVE
7. Verification (10 minutes)
- Re-measure CHU frequency
- Should now read 7,850,000 Hz (within ±10 Hz)
- If not, iterate
Accuracy Limitations
Factors Affecting Accuracy
| Factor | Typical Error | Mitigation |
|---|---|---|
| Transmitter accuracy | ±0.00001 ppm | None needed (perfect) |
| Ionospheric Doppler | ±0.1 Hz | Average multiple readings |
| Receiver stability | ±1 ppm | Use GPS-locked SDR |
| Multipath fading | ±1 Hz | Use strong, stable signal |
| Measurement resolution | ±1 Hz | Use FFT or counter |
Achievable Accuracy: - Single measurement: ±1-10 ppm - Averaged (10 readings): ±0.5-2 ppm - Ideal conditions: ±0.1-0.5 ppm
Troubleshooting
Can't Receive Station
No signal at all: - Check antenna connection - Verify SDR is working (try FM broadcast) - Try different time of day - Try different frequency/station
Weak signal: - Improve antenna (longer wire, outdoors) - Try different frequency - Wait for better propagation - Check for local interference
Frequency Unstable
Reading jumps around: - Increase averaging time - Use narrower filter - Wait for stable conditions - Improve antenna
Slow drift: - Normal (ionosphere moving) - Average over longer time - Take multiple measurements
SDR Frequency Offset
SDR itself uncalibrated: - This is the problem we're trying to solve! - Use "PPM correction" in SDR software - Measure error against CHU - Enter correction - Iterate
Alternative: Using RTL-SDR's Built-in Calibration
Many SDR programs allow you to calibrate the RTL-SDR against known frequency:
SDR# Procedure:
- Tune to CHU 7.850 MHz
- Note frequency error (e.g., reads 7.850.045 MHz)
- Click Configure (gear icon)
- Adjust "Frequency correction (ppm)" slider
- Adjust until it reads exactly 7.850.000 MHz
- Record ppm value
- This ppm applies to TinySA's reference (if using same oscillator)
Limitation: This calibrates the SDR, not the TinySA. They're separate devices with separate oscillators.
Advanced: Building a WWV-Locked 30MHz Reference
If you want continuous calibration:
Concept
Build a PLL (Phase-Locked Loop) that: 1. Receives WWV 5 MHz 2. Multiplies by 6 to get 30 MHz 3. Locks crystal oscillator to result 4. Provides clean 30 MHz locked to WWV atomic clock
Block Diagram
Antenna → Receiver → 5 MHz IF → PLL (×6) → 30 MHz output
↑
Local TCXO ←→ Feedback
Components Needed
- WWV receiver or downconverter
- PLL IC (e.g., ADF4002, ADF4351)
- TCXO (30 MHz or 10 MHz)
- Loop filter components
- Power supply
Complexity: High (PLL design is advanced) Cost: $50-100 Result: Continuous 30 MHz locked to WWV
Comparison to GPS Method
| Aspect | GPS | WWV/CHU | Winner |
|---|---|---|---|
| Accuracy | 0.01 ppm | 0.1-1 ppm | GPS |
| Cost | $15-25 | $0-30 | WWV (if you have SDR) |
| Setup time | 2-4 hours | 30-60 min | WWV |
| Availability | Worldwide | Regional | GPS |
| Learning value | GPS tech | Radio propagation | Tie |
| Cool factor | Modern | Classic | WWV (nostalgia!) |
Recommendation: Use GPS for best accuracy, WWV/CHU for quick check or learning experience.
Summary
What We Accomplished
✓ Used free atomic clock broadcasts for calibration ✓ Achieved 0.1-1 ppm accuracy with no cost ✓ Learned about HF propagation and time standards ✓ Verified TinySA reference against multiple sources
Key Takeaways
- Time standard broadcasts are free atomic clock references
- Carrier frequency is exact, derived from atomic clock
- Propagation effects limit accuracy to ~0.1-1 ppm
- Averaging multiple measurements improves accuracy
- CHU at 7.850 MHz is best for North America
- DCF77 at 77.5 kHz is best for Europe
When to Use This Method
- You already have SDR or shortwave receiver
- You want to verify GPS calibration
- You enjoy learning about radio propagation
- Cost is more important than ultimate accuracy
- You live near a time standard transmitter
References
Happy calibration using 100-year-old technology!