rnative to CMT. Its time-frequency phase-space lattice is obtained from that of CMT (Figure 5.1) through a frequency shift of the lattice points down by 1/4T, scaling the time axis by a factor 1/2 and hence the frequency axis by a factor 2. Moreover, to remain consistent with the past literature of SMT (equivalently, OQAM-OFDM), some adjustments to the carrier phases of the lattice points have been made. This leads to the time-frequency phase-space lattice that is presented in Figure 5.4. The magnitude responses of the SMT pulse-shaping filters at various subcarriers and time instants t = 0 and t = T/2 are presented in Figure 5.5. Note that here the PAM symbols are spaced by T/2 and subcarriers are spaced by 1/T. In SMT, each pair of adjacent symbols along time in each subcarrier is treated as the real and imaginary parts of a QAM symbol. This leads to the transmitter and receiver structures that are presented in Figure 5.6. Here, each data symbol Sk[n] belongs to a QAM constellation and, thus, may be written in terms of its in-phase and quadrature components as = Accordingly, the inputs to the SFB in Figure 5.6 are (5.15) $(1)= (5.16) so (t) p(t)ej Modulation t So[n] e 1+2) to RF band ej2rfct e-j2rfc ((71+) s1(t) p(t)ej-th y (t) Channel t S1 [n] Demodulation from RF band e (N-1)(71+2) SN-1(t) X p(t) t SN-1[n] Figure 5.3 CMT transmitter and receiver blocks. 5 Filter Bank Multicarrier Modulation f = 3/T, k=3 F=1/L f = 2/T, k = 2 f = 1/T, k = 1 =0, k = 0 n = 2 Figure 5.4 The SMT time-frequency phase-space - lattice. t = T/2 Figure 5.5 Magnitude responses of the SMT pulse-shaping filters at various subcarriers and time instants t = 0 and t = T/2. so(t) soln] jso(t) so[n] p( 12) p(t-1) Modulation ej(+1+ to RF band s|(t) s'[n] ej2nfc e-j2nfc1 jso(t) y (t) p(t--) Channel si[n] p(t-1) Demodulation from RF band e-j(N-1)(H1+2) S'N - 1 (t) SN-1[n] js 2_1(t) p(t - 12) p(t-1) 31.) SN_1[n] Figure 5.6 SMT transmitter and receiver blocks. 5 Filter Bank Multicarrier Modulation 5.4 Prototype Filter Design The results of the Secti