alysis of multi-numerology signals (Group-3) has also effects on the waveform parameter assignment algorithms. Scheduling and resource allocation units (Group-4) include all of these feedback mechanisms and waveform parameter assignment algorithms to solve the problems that are defined in Section 7.1.1. For Group-1 studies, the general concept on multi-numerology structures is discussed in [7, 28-30]. Research opportunities for multi-numerology waveform are given in [6]. In [3] and [31], requirements and frame design considerations for multiple numerologies are explained. Requirement analysis is very important for the feedback of solution mechanisms as regards the optimization problems. If the user and service requirements are mapped into the waveform parameters correctly, all of these requirements can be met in a better way. Requirements should be matched with suitable waveform parameters as in [3]. Otherwise, employing the multi-numerology concept is not meaningful. (1) General multi-numerology concept (2) INI and non-orthogonality issues (3) Time-domain analysis of signals Definitions for multiple numerologies INI estimation and cancellation PAPR analysis Multi-numerology structures for 5G NR INI reduction with guard utilization and PAPR reduction Requirements and frame design windowing/filtering options Different CP implementations considerations for multiple numerologies Different CP implementations Mini-slot concept Waveform parameter assignment (4) Scheduling and resource allocation Numerology assignment Waveform processing INI-based scheduling Resource allocation between users Figure 7.3 All of the multi-numerology based research topics are directly associated with waveform parameter assignment subject because the other topics cannot be investigated without waveform parameter decisions. 7.1 Introduction For Group-2 studies, INI analysis and the related non-orthogonality issues are dis- cussed in [10, 11, 32-36]. INI cancellation methods are provided in [11, 32, 35, 36]. Multi-numerology waveforms provide 