Build an Exponentially Decaying (damped) Sine Wave in EasyWaveX

An exponentially decaying sine wave is an effective and realistic test stimulus for systems where transient behavior, energy decay, or time-limited inputs are important. For damped harmonic systems, the amplitude of oscillations often follows an exponential decay curve.

Natural decay is ideal for mimicking real-world transient systems or ensuring system safety.

Let’s use the example of a moderately damped, 60 Hz wave.

A x e^(kx) * cos(2 * π * freq * x)

Enter the range of points for the complete waveform. Then enter the equation describing the damped sinusoid. Then press Compile to preview the waveform.

range(1,16384)

3*2.71828^(-5*x)*cos(2*pi*60*x)