A modern extreme value theory approach to calculating the distribution of the peak-to-average power ratio in OFDM systems

By Shuangqing Wei, Dennis L. Goeckel, Patrick A. Kelly. 2002

110 citations recorded by the source corpus.

Orthogonal frequency division multiplexing (OFDM) is a promising framework for future wireless communication systems. One of the main impediments that has limited the applicability of OFDM systems in low-power wireless communication systems is the highly variable amplitude of the baseband transmitted signal; thus, a number of previous analyses have characterized this variation. These analyses have generally employed the following two components: (1) the assumption that the complex envelope of the OFDM signal converges to a Gaussian random process in some sense as the number of subcarriers becomes large, and (2) Rice's (1945) classical results on level-crossing rates for the envelope of Gaussian random processes. In this work, we improve on both of these components to arrive at a simple, accurate, and rigorously-established expression for the peak distribution of the OFDM envelope. In particular, using a rigorous (and non-trivial) proof establishing the convergence in (1) above as justification, the modern extreme value theory for chi-squared processes is applied to the problem. Numerical results for both uncoded and coded systems establish that the simple expression obtained for the distribution of the peaks of the envelope process is extremely accurate, even for a modest number of subcarriers.

Subfields: Computer Networks and Communications, Electrical and Electronic Engineering

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computer Networks and Communications

In Electrical and Electronic Engineering

Citations in the corpus

Distributed Federated Learning for Ultra-Reliable Low-Latency Vehicular Communications (2018, methodology): “As a result, if the network relies on these existing schemes, some of the vehicular users (VUEs) may experience unacceptable latencies yielding degraded performance [4], [22]–[25].”
Analysis and comparison of several simple impulsive noise mitigation schemes for OFDM receivers (2008, methodology): “The following analysis relies on the assumption that the number of OFDM subcarriers is sufficiently large (N → ∞), and the OFDM signal can be modeled as a complex Gaussian process with Rayleigh envelope distribution [15].”
An Overview: Peak-to-Average Power Ratio Reduction Techniques for OFDM Signals (2008, methodology): “In [9], a simple approximation of the CCDF of PAPR has been developed by employing the extreme value theory, and the expression can be written as”