512-points DFT (or Af(2)=60kHz with 256-points DFT). We define , CP , N x_roff /N (i), and Rx_roff (i i=1,2) as the normalized length of CP, and the roll-off lengths of the transmitter window and the receive window, respectively. Specifically, MCP is set to 7%, which means the CP length is 72 OFDM samples. As mentioned before, we apply RC windows in both the transmitter and the receiver. In Figure 3.8, the simulated SIR and analytical SIR are compared with different SCS. We set the GB between the two numerologies as 0, Af(2), and 2Af(2), respectively. Here, we assume Af(2) = 30 kHz and one resource block (RB) is allocated to each numerology. MOX and MOX are assumed to be 4% and 1%, respectively. In addition, quadrature phase shift keying (QPSK) modulation scheme is used for both numerologies, and the Pedestrian-A channel model [24] is considered. As we can see in Figure 3.8, the theoretical and numerical SIR curves match perfectly, which verifies the effectiveness of the analysis in Section 3.2.2. It is also observed that larger GB results in better SIR for both numerologies. Generally, the subcarriers that have smaller spectral distance from the interfering numerology have lower SIR; this can be observed in Figure 3.8 as well; e.g. the subcarrier with index 13 (in subband 2) is the nearest one to subband 1 and has the lowest SIR. In Figure 3.9, we compare the SIR for OFDM system and W-OFDM system. In this simu- lation, the GB is assumed to be 0 and both numerologies have 20 RBs. As can be seen from 3.4 Numerical Results and Discussion Simulation SIR with GB = 0 Analytical SIR with GB = 0 Simulation SIR with GB = Af(2) Analytical SIR with GB = 4f(2) Simulation SIR with GB = 2 4f(2) Analytical SIR with GB = 2 4f(2) Subband 1 Subband 2 Subcarrier Index (n) Figure 3.8 SIR for the adjacent subbands. SIR of W-OFDM with GB = 0 SIR of OFDM with GB = 0 Subcarrier Index (n) Figure 3.9 SIR comparison for W-OFDM and OFDM systems. Figure 3.9, except the edge subcarriers between the two numerologies, the SIR of W-OFDM is sign