Contents 16 Hrs ■Introduction Geometric rep.of the sig waveforms Pulse amplitude modulation 2-d signal waveforms ■M-d signal waveforms Opt.reception for the sig.in AWGN Optimal receivers and probs of err UESTC-Digital transmission through the AWGN channel Prof李晓峰 2
5.3.1 Baseband Previous signals are all one dimensional.We need 2-d basis: 1)two non-overlapping signals; 44() AΨ2(t) √2/T √2/T 2)two overlapping signals 49() 4P() 1/T /1/T- T UESTC-Digital transmission through the AWGN channel Prof李晓峰 3
5.3.1 Baseband Binary signals: Scheme 1:s(1)=4Txw (t) S,(0)=AVT×4,(t0 +A ◆Ψ2 Energy: (0,A√T) E=E,=AT Q:What is the 4 (AT,0) waveform for msg of 0 2 10110001101.? UESTC-Digital transmission through the AWGN channel Prof李晓峰 4
5.3.1 Baseband Binary signals: Scheme 1:s (1)=4Txw(t) S,(0=AVT×4,(t) 4,)=AWT12[4()+4,()】=AWT×m0 Scheme 2: 42(0=AWT12[-4)+4(0]=ANT×p,() 40 Ψ2 (0,4T) 7 AT/2,AT√2) (AJT12,4VT72) Ψ 47 0 (AT,0) 2万 UESTC-Digital transmission through the AWGN channel Prof李晓峰 5
5.3.1 Baseband 4-ary signals 4Ψ s()=a4() s2()）=a242(t) Scheme 1: S3(t)=-a4() 0 (AT,0) s4(t)=-a2y2(t) Scheme 2: s()=a1()+a22() S2()=a2141()+a22"2(t) S,()=-[a()+a2y2(] S4(t)=-[a2141(t)+a222(t)] M-ary signals:more to See Fig5.15 and Fig5.16 UESTC-Digital transmission through the AWGN channel Prof李晓峰 6