## 1 Introduction  
In the current applications of cellular devices, there is a great demand for incorporating 5G networks as a replacement for the 4G type. Generally, the Machine to Machine (M2M), Device to Device(D2D), massive Machine Type Communications (mMTC) and mobile phone technologies improve instantly [1]. The 5G solution provides the means to satisfy advanced networking in terms of high bandwidth capacity, traffic rate, availability and connectivity [2]. The enhanced Mobile Broadband (eMBB) is an extension of the mobile broadband telecommunication standards. It provides multiple connectivity (e.g., hotspot or wide-area coverage) with high data rates of services and multimedia data. Ultra-Reliable Low Latency Communications (URLLC) are used for machine-type communications and provide better latency and reliability. Its applications include distribution automation in smart grids, industrial manufacturing and remotely driven vehicles. The mMTC provides massive connectivity with a low amount of traffic and possible delays. Its applications include Internet of Things (IoT) systems [1]. These three communication approaches manifest the dimensions of features in the 5G network, as shown in Figure 1.  
The communications standards of the waveform networks advancement entail different structures, modulation symbol formats and/or sizes [3]. Some examples are Frequency Division Multiplexing (FDM), Orthogonal Frequency Division Multiplexing (OFDM) and the advanced Cyclic Prefix-OFDM (CP-OFDM). The CP-OFDM has been commercially deployed in 4G as a Long-Term Evolution (LTE) technology [4]. However, in LTE, CP-OFDM failed to support the demands of different numerologies and communication scenarios. There are a few other multiplexing types, such as Generalized Frequency Division Multiplexing (GFDM) [5], non-orthogonal multiple access [6], Filter Bank Multicarrier (FBMC) [7; 8; 9], filtered OFDM (f-OFDM) [10], and Universal Filtered Multicarrier (UFMC), which is also called universal filtered OFDM (UF-OFDM) [11]. The UFMC is considered as the most suitable waveform for 5G technology [12]. The main defect of multicarrier modulation schemes is the high Peak to Average Power Ratio (PAPR) due to the coherence of subcarriers in the time-domain [13]. High PAPR drives the power amplifier to the non-linearity region [12; 13], which leads to Out of Band (OOB) emission, In-Band (IB) distortions and long word length. The long word length is an essential problem in the digital to analogue converter, which dramatically reduces battery life. Various solutions are proposed to reduce the PAPR in the waveform. Amplitude clipping is the simplest non-linear time-domain located method. Figure 1: The main features of the 5G networks. The amplitude clipping reduces the OOB emission and IB distortion but increases the BER [14; 15]. Companding is another time-domain-located method that reduces PAPR. It compresses the large peaks and enlarges the small peaks of the signal but increases the BER too [16; 17; 18]. On the other hand, frequency-domain methods such as Tone Reservation (TR) and Tone Injection (TI) support PAPR reduction [19; 20; 21]. However, TR and TI consume high power and processing time to find the optimum cancellation tones. A Multiple Signal Representation (MSR) is another frequency-domain method that solves the PAPR problem. The MSR is a probabilistic method that generates and transmits multiple copies of original data vectors, which reduce the PAPR but increases the BER [22]. Partial Transmit Sequences (PTS) [23] and Selected Mapping (SLM) [24] are two methods that belong to both time-and frequency-domains and assist in PAPR reduction. They use a statistical mechanism that avoids increasing the BER. However, the PTS needs more side information than the SLM, which decrease the capacity of the transmitted data and causes data rate reduction. Hence, the SLM is extensively integrated with different waveforms [16].