Abstract

The problem of finding an upper bound for the infinity norm of signals from their sample values is called the peak value problem. The peak value problem is a significant problem related to orthogonal frequency division multiplexing (OFDM) which has applications in wireless networks, audio broadcasting, and mobile communications. In this article, we will first answer the question of whether the zeros of a π-sine-type function form a stable sampling set for Bβπ∞,0<β<1. Then, we will address a related question of bounding the infinity norm of a given signal. The sampling set we use only requires a bound on the maximum distance between two consecutive sampling points. Our result for estimating the bound works for a nonuniform sampling set.

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