high flexibility; however, their main disadvantage is the INI effects. Reduction or cancellation of INI enhances reliability and then the capacity. Besides, INI analysis is one of the main feedbacks for the waveform parameter assignment algorithms. For Group-3 studies, peak to average power ratio (PAPR) reduction methods for multi-numerology OFDM signals are developed in [37] and [38]. Moreover, PAPR analysis is provided in [39] based on multiple numerologies. Different cyclic prefix (CP) implemen- tations are discussed in [6] and [10]. Using only one CP for the composite signal that is formed by subframes of different numerologies provides several advantages such as higher spectral efficiency for the shorter CP cases rather than the fixed individual CPs of multiple numerologies. CP implementation variety has direct effects on the waveform parameter assignment. For Group-4 studies, multi-numerology based scheduling and resource allocation papers are investigated under five subgroups that are listed below. In Section 7.3, some of these studies are revisited to give a more detailed perspective of waveform parameter assign- ment. As a short summary, Table 7.1 shows the differences among the related studies in multi-numerology literature for scheduling and resource allocation. Table 7.1 Comparison of multi-numerology based scheduling and resource allocation studies. Numerology Waveform INI-based Resource Joint assignment processing scheduling allocation optimization Study Topic-1 Topic-2 Topic-3 Topic-4 Topic-5 Bag et al. [12] Chang et al. [13] Demir and Arslan [14] Demmer et al. [15] Gonzalez et al. [16] Lagen et al. [17] Marijanovic et al. [18] Marijanovic et al. [19] Marijanovic et al. [20] Marijanovic et al. [21] Soni et al. [22] Sui et al. [23] Yazar and Arslan [3] Yazar and Arslan [24] Yazar and Arslan [25] You et al. [26] Zhang et al. [27] Topic-1: numerology assignment, Topic-2: waveform processing, Topic-3: INI-based scheduling, Topic-4: resource allocation, Topic-5: joint optimization. 7 Multi-Numerology Wa