This article deals with peak to average power (PAPR) reduction in a single and multi-user orthogonal chirp division multiplexing (OCDM) context. Two methods for PAPR reduction based on the selection of the frequency variation (up or down) of the chirps are first presented in a single user system. The first technique consists in considering two OCDM signals generated with up and down chirps, respectively, and selecting the one offering lowest PAPR. The second PAPR reduction method is based on usual clipping, and in that case the chirp selection aims to reduce the clipping noise. An adapted receiver is presented, based on the maximum likelihood estimation of the frequency variation (up or down) of the chirp. Then, a general procedure for multi-user OCDM transmission is introduced, where a sub-band of the available bandwidth is dedicated to each user, whose frequency of the chirps varies within this sub-band. Next, the PAPR reduction techniques are generalised to this multi-user OCDM system. Moreover, a performance analysis of the first PAPR reduction method is developed, and it is shown through simulations that theoretical and numerical results match for both Nyquist rate and oversampled signals. It is also shown that the chirp selection reduces the clipping noise, and improves the bit error rate performance compared with clipping only.
K E Y W O R D S 5G mobile communication, digital communication, power amplifiers
| INTRODUCTIONOrthogonal chirp division multiplexing (OCDM) is an emerging waveform which is based on Fresnel transform instead of Fourier transform in orthogonal frequency division multiplexing (OFDM) [1]. The main advantage of OCDM against OFDM or transform precoded OFDM, such as discrete Fourier transform-spread-OFDM (DFT-s-OFDM) used in 5G [2], lies in the fact that OCDM achieves an optimal decoding of the received signal in presence of time and frequency selective channels [3], whereas OFDM (resp. precoded OFDM) is only sub-optimal against frequency selective channel (resp. time selective channels) [4]. The optimality of OCDM is inherent to the use of chirps that spread the possible errors over the time and frequency grid. Furthermore, the use of chirps could be also relevant in the context of sensing and communications in 6G [5], since chirps are originally used in radar applications [6]. Another advantage inherent to OCDM is that it is backward compatible with OFDM-like waveforms used in numerous standards and technologies [7] such as WiFi, 4/5G etc., as it has been shown in refs. [7,8] that the OCDM is equivalent to the OFDM modulation scheme, precoded with a DFT matrix and a multiplication by a chirp.The high robustness against time and frequency selective channels is also a benefit of the orthogonal time frequency space modulation [9] and the affine function division multiplexing [10,11]. Although both waveforms can actually achieve 'full diversity' against multipath mobile channels [10], unlike OCDM, they are not backward compatible with OFDM-like signals as they require dedicated transmitter...