Decaying cosine function
By DarthVader
Date: 2025-08-22
Topic: 242 see comments
Post views: 138
The equation that approximates a decaying cosine function is:
ay = Ae−Dtcos(2πf(t − t0)) + B
Where:
A = amplitude
B = DC component
t0 = phase
f = frequency
D = damping factor (time constant)
Note: This can also be written as:
ay = Ae−Dtcos(ω(t − Φ)) + B
Where:
ω = angular velocity
Φ = phase shift in units of time (time shift form)
Note: Can also be written as:
ay = Ae−Dtcos(ωt − Φ)) + B
Where:
Φ = phase shift as an angle in radians (phase angle form)
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