Closed-form approximations of the peak-to-average power ratio distribution for multi-carrier modulation and their applications

Abstract

The theoretical analysis of the peak-to-average power ratio (PAPR) distribution for an orthogonal frequency division multiplexing (OFDM) system, depends on the particular waveform considered in the modulation system. In this paper, we generalize this analysis by considering the generalized waveforms for multi-carrier (GWMC) modulation system based on any family of modulation functions, and we derive a general approximate expression for the cumulative distribution function (CDF) of its PAPR, for both finite and infinite integration time. These equations allow us to directly find the expressions of the PAPR distribution for any particular functions and characterize the behaviour of the PAPR distribution associated with different transmission and observation scenarios. In addition to that, a new approach to formulating the PAPR reduction problem as an optimization problem, is presented in this study.

Comparison Analysis of Time and Frequency Resource of Candidate Waveforms for 5G Mobile Communications

“…FBMC 시스템은 Synthesis Filter Bank에서 시간영역 윈도 우 기법을 사용하여 OOB 전력을 저감시킨다 [13] . 선형 조 건에서 FBMC는 가장 좋은 OOB 특성을 보인다 [14] . 즉, 스 펙트럼의 OOB가 매우 작아서 낭비되는 스펙트럼 영역이 줄고, 이로 인해 높은 스펙트럼 효율을 갖게 된다 [15] .…”

A PAPR upper bound of generalized waveforms for multi-carrier modulation systems

“…Every block is inserted in parallel in a GWMC modulation system. At the output of the modulator, the GWMC signal can be expressed as [5]:…”

“…For the details of the mean power derivation, the reader can refer to [6] for the BFDM 1 case, and to our work [5] for the general case. The aim here is to find an upper bound of the PAPR for a GWMC signal.…”

“…In these studies, the PAPR has been defined over one OFDM symbol, and the derivation of its distribution is based on the observation of this single OFDM symbol. In our work in [5], a general distribution for the Generalized Waveforms for Multi-Carrier (GWMC) signal, based on the observation of several GWMC symbols, has been derived. In this paper, we first describe the GWMC system considered in our derivations in Section 2.…”

Combination System Design of 5G Candidate Modulation and Full Duplex Communication for the Spectrum Efficiency Enhancement

“…OFDM 변조의 경우, 높은 OOB(Out-of-Band) 전 력을 가지고 있어 각 어플리케이션 스펙트럼 사이에 넓 은 보호 대역을 요구하지만 [9] , 부반송파를 그룹 필터링 기법을 사용하는 UFMC나 개별 필터링하는 FBMC 변조 의 경우, OOB의 전력이 낮기 때문에 보다 좁은 보호대역 을 요구하며 [10]～ [13] , 따라서 행하고, 필터링된 신호들을 합쳐서 최종 전송을 위한 신 호를 생성한다 [10] . FBMC는 개별 부반송파를 필터링하기 위하여 IDFT 연산 후 PPN 구조를 이용, 지연(delay)과 합 (sum) 연산을 수행하여 최종 변조신호를 생성한다 [11] . [7], [8] .…”