On the Peak-to-Average Power Ratio Reduction Problem for Orthogonal Transmission Schemes

TL;DR

This paper explores the fundamental limits of reducing peak-to-average power ratio in wireless systems using tone reservation, revealing that maintaining a strict PAPR criterion forces the information-carrying signal proportion to vanish.

Contribution

It provides a theoretical analysis of the trade-off between PAPR reduction and information rate in OFDM and DS-CDMA systems, highlighting fundamental limitations.

Findings

PAPR reduction via tone reservation constrains information transmission.

For both OFDM and DS-CDMA, strict PAPR criteria imply negligible information signal proportion.

Shared and differing properties of OFDM and DS-CDMA in PAPR context are characterized.

Abstract

High peak values of transmission signals in wireless communication systems lead to wasteful energy consumption and out-of-band radiation. However, reducing peak values generally comes at the cost some other resource. We provide a theoretical contribution towards understanding the relationship between peak value reduction and the resulting cost in information rates. In particular, we address the relationship between peak values and the proportion of transmission signals allocated for information transmission when using a strategy known as tone reservation. We show that when using tone reservation in both OFDM and DS-CDMA systems, if a Peak-to-Average Power Ratio criterion is always satisfied, then the proportion of transmission signals that may be allocated for information transmission must tend to zero. We investigate properties of these two systems for sets of both finite and infinite cardinalities. We present properties that OFDM and DS-CDMA share in common as well as ways in which they fundamentally differ.