Approximating Smooth Step Functions Using Partial Fourier Series Sums
ARMY TANK AUTOMOTIVE RESEARCH DEVELOPMENT AND ENGINEERING CENTER WARREN MI
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This report documents several continuous functions that can approximate a discrete step function. The functions considered include the cosine, cubic polynomial, bezier polynomial, and hyperbolic tangent. Based on the error condition used, the Hyperbolic Tangent Tanh and Cosine functions provide the best approximations depending on the degree of smoothness desired.
- Numerical Mathematics