Calculator
Example Data Table
| Arduino Clock | Prescaler | Compare Value | Formula Result | Typical Use |
|---|---|---|---|---|
| 16,000,000 Hz | 64 | 124 | 1,000 Hz | Audio tone or test pulse |
| 16,000,000 Hz | 8 | 999 | 1,000 Hz | Timer compare output |
| 16,000,000 Hz | 256 | 31249 | 1 Hz | Slow square wave timing |
| 8,000,000 Hz | 64 | 624 | 100 Hz | Low clock board testing |
Formula Used
Timer CTC toggle: Frequency = Clock / (2 × Prescaler × (Compare + 1)).
Target compare value: Compare = Clock / (2 × Prescaler × Target Frequency) - 1.
Direct timing: Frequency = 1,000,000 / (High Time + Low Time + Overhead).
Duty cycle: Duty Cycle = High Time / Total Period × 100.
Measured input: Frequency = Pulse Count / Gate Time in seconds.
Angular frequency: Angular Frequency = 2 × π × Frequency.
How To Use This Calculator
- Select the calculation mode that matches your Arduino setup.
- Enter the board clock frequency, such as 16000000 for many Uno boards.
- Enter the timer prescaler and compare value for timer calculations.
- Use high and low times for direct square wave timing.
- Use pulse count and gate time when checking measured signals.
- Press Calculate to show the result above the form.
- Use the CSV or PDF button to save the result.
Arduino Square Wave Frequency Guide
Why Frequency Matters
Arduino square waves are useful in testing, timing, tone generation, motor control, clock output, and simple signal experiments. A square wave switches between high and low states. Its frequency tells how many complete cycles happen each second. Its period tells how long one full cycle takes. Duty cycle shows the high time share inside one period. These values affect timing accuracy, sound pitch, switching losses, and circuit behavior.
Timer Based Signals
Hardware timers give better stability than delay based code. A timer uses the board clock, a prescaler, and a compare value. The prescaler slows the timer count. The compare value sets when the timer action happens. In CTC toggle mode, the output changes state on each compare match. Two toggles make one complete square wave cycle. That is why the formula includes a factor of two.
Software Delay Signals
Software delay methods are easy to understand. They are also less exact. Function calls, loop code, interrupt activity, and pin write time add overhead. This calculator includes an overhead field. Use it when you estimate a digitalWrite loop. For faster signals, hardware timer output is usually better. For slower demonstrations, delay timing can be acceptable.
Measured Frequency Checks
The measured pulse mode helps compare theory with real hardware. Count pulses during a known gate time. Then divide pulses by seconds. Longer gate times usually improve low frequency readings. Fast signals may need input capture, interrupts, or external counters. Always confirm voltage levels before connecting another device.
Practical Design Notes
Use the target mode when you need a specific frequency. It estimates the nearest compare value. The rounded value may create frequency error. Try another prescaler if the error is too large. Also check pin current, load capacitance, and wiring length. Heavy loads can distort edges. A buffer, resistor, or driver may improve reliability. Save the result before changing your sketch.
FAQs
What is an Arduino square wave?
An Arduino square wave is a signal that switches between low and high voltage. Its frequency is the number of complete high-low cycles per second.
Which timer mode is best for stable output?
CTC toggle mode is usually stable because hardware controls the pin change. It avoids most delay loop timing errors.
Why does the timer formula include two?
A toggle changes only one state. One full square wave cycle needs two toggles, one rising change and one falling change.
Can digitalWrite make high frequency waves?
It can create square waves, but overhead limits speed and accuracy. Direct port control or timer output is better for faster signals.
What clock value should I enter?
Use your board clock frequency. Many Arduino Uno boards use 16,000,000 Hz. Some boards use 8,000,000 Hz or other speeds.
What is duty cycle?
Duty cycle is the percentage of one period that the signal stays high. A perfect square wave often uses 50 percent duty.
Why is my measured frequency different?
Clock tolerance, overhead, interrupts, rounding, wiring, and measurement gate time can cause differences between calculated and measured results.
Can I use this for PWM?
Yes, for basic frequency and duty checks. For exact PWM modes, confirm the timer mode and TOP value used by your board.