. Hence, waveform parameter assignment lit- erature is reviewed from the multi-numerology perspective. After that, case studies for the optimizations in numerology assignment, waveform processing, and joint methods are 7.1 Introduction discussed to reveal the relationships between multi-numerology concept and waveform parameter assignment in 5G NR. 7.1.1 Problem Definitions Two main problems can be analyzed related with the waveform parameter assignment [25]: (i) A necessity of optimal parameter assignment strategy for each single user while meeting user requirements one by one; (ii) a necessity of optimal parameter assignment strategy for multiple users while meeting their individual requirements together. Meeting several requirements of one user can be difficult in some cases. Moreover, multiple users can have more challenging requirements to be met in the same frame of a waveform. These two main problems can be solved separately [3, 14, 15, 17, 18, 22]. However, they are not independent problems SO it is also possible to solve them together [20, 21, 25]. The subproblems of the two main problems given above can be listed as (i) numerol- ogy selection or assignment for each user, (ii) waveform processing based on the user-numerology association, (iii) resource allocation between all users, and (iv) opti- mization(s) for numerology assignment, waveform processing, and resource allocation. Figure 7.2 illustrates these problems. These subproblems can be solved independently or jointly. For example, waveform processing techniques such as adaptive inter-numerology guard bands and subframe windowing with different roll-off factors can be designed based on the assumption of perfect user-numerology association [3, 14, 15, 17, 18, 22]. However, it is more realistic to develop this type of waveform processing techniques together with adaptive user-numerology association methods because there can be a different waveform processing technique or parameter necessity while numerologies of users are changing [20, 25]. More requ