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Tone Reservation and Solvability Concepts for the PAPR Problem in General Orthonormal Transmission Systems

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Citation Author(s):
Ullrich Moenich
Holger Boche, Ullrich J. Mönich
Submitted by:
Ullrich Moenich
Last updated:
13 April 2018 - 6:14am
Document Type:
Poster
Document Year:
2018
Event:
ICASSP 2018
Presenters:
Ullrich Mönich
Categories:
Multi-antenna and Multi-channel Signal Processing for Communications
Signal Processing for Communications and Networking
 

Large peak to average power ratios (PAPRs) are problematic for communication systems. One possible approach to control the PAPR is the tone reservation method. We analyze the tone reservation method for general complete orthonormal systems, and consider two solvability concepts: strong solvability and weak solvability. Strong solvability requires a rather strong control of the peak value of the transmit signal by the energy of the information signal, and thus might be to restrictive for practical applications. Therefore, the concept of weak solvability was introduced, which only requires the boundedness of the transmit signal. In this paper we prove that weak solvability and strong solvability are equivalent for arbitrary complete orthonormal systems.

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