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5.4.2 Bi-Orthogonal signal waveforms A set of M-ary bi-orthogonal signals is constructed from a set of M/2-ary orthogonal signals. Given M=6 and 3 orthogonal signals s,s2,s;),the set of bi-orthogonal signals is simply given by, {1,2,3,S1,-52,-3 (04 Or expressed as, s=(VE,0,0 s,=(0E,0) s,=(0,0,VE) s,=(-E,0,0)s=(0,-√E,0 s6=(0,0,-√E) We have the followings: 中3() M-ary bi-orthogonal signals are M/2 dimensional. The energy of signals are equal.Two distances between signals are,2E,and 2E,. Baseband bi-orthogonal signals are from baseband orthogonal signals,Bandpass signals from bandpass ones. UESTC-Digital transmission through the AWGN channel Prof李晓峰 10
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