 A = M3Ls), = the ACI and ISI calculation, M1 = LSYM' M2 = LCP and M3 = 1, while M1 = L LCP,M2 = L, and M3 = 0 for ICI calculation. 3.B Appendix 3.B.1 Derivations of (3.28) Substitute (3.2) and (3.4) into (3.26) and we have (3.B.1) In (3.B.1), approximate equality (a) follows the assumption that the channel is weakly or mildly time-dispersive, and thus g(2) - equality (b) holds due to n2N(2) = N°1 and only those transmit windows g(2) (n - vN(2) with U = mn2 - 1, mn2, 1, , mn2 + N2 - 1, may possibly overlap with the given receive window numerology 1. References 3.C Appendix 3.C.1 Derivations of (3.30) Substitute (3.2) and (3.4) into (3.29) and define we have X q2(n (3.C.1) In (3.C.1), approximate equality (d), similar to approximate equality (a) in (3.B.1), follows the assumption that the channel is weakly or mildly time-dispersive, and thus g(1) (n-l- - - vN(2); equality (e) holds due to the fact of the m-th received symbol of sub- band 2 lies in the m = m/n21-th LCM symbol; using m = mn2 + d, with d = 0, 1, N2-1, the m-th received symbol may possibly be interfered by the m-th and M - 1-th transmitted symbol of subband 1. References 1 Andrews, J.G., Buzzi, S., Choi, W. et al. (2014). what will 5G be? IEEE Journal on Selected Areas in Communications 32 (6): 1065-1082. 2 Ijaz, A., Grau, M., Zhang, L. et al. (2016). Enabling massive IoT in 5G and beyond systems: PHY radio frame design considerations. IEEE Access 4: 3322-3339. 3 Zhang, L., Ijaz, A., Xiao, P., and Tafazolli, R. (2017). Channel equalization and interfer- ence analysis for uplink narrowband internet of things (NB-IoT). IEEE Communications Letters 21 (10): 2206-2209. 3 Windowed OFDM for Mixed-Numerology 5G and Beyond Systems 4 Zhang, L., Ijaz, A., Xiao, P., and Tafazolli, R. (2017). Subband filtered multi-carrier systems for multi-service wireless communications. IEEE Transactions on Wireless Communications 16 (3): 1893-1907. 5 Zhang, L., Xiao, P., Zafar, A. et al. (2016). FBMC system: an insight into doubly disper- sive channel impact. IEEE Transactions