The Crest factor for trigonometric polynomials. Part I: Approximation theoretical estimates

K. Jetter; G. Pfander; G. Zimmermann

doi:10.33993/jnaat302-695

Authors

K. Jetter Universität Hohenheim, Germany
G. Pfander Universität Hohenheim, Germany
G. Zimmermann Universität Hohenheim, Germany

DOI:

https://doi.org/10.33993/jnaat302-695

Keywords:

Crest factor, OFDM, alternation property, oversampling

Abstract views: 191

Abstract

The Chebyshev norm of a degree n trigonometric polynomial is estimated against a discrete maximum norm based on equidistant sampling points where, typically, oversampling rather than critical sampling is used. The bounds are derived from various methods known from classical Approximation Theory. These estimates are of fundamental importance for the design of efficient OFDM in communication systems.

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References

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