Accession Number:

ADA567759

Title:

Approximating Smooth Step Functions Using Partial Fourier Series Sums

Descriptive Note:

Corporate Author:

ARMY TANK AUTOMOTIVE RESEARCH DEVELOPMENT AND ENGINEERING CENTER WARREN MI

Personal Author(s):

Report Date:

2012-09-01

Pagination or Media Count:

40.0

Abstract:

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.

Subject Categories:

  • Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE