4.6 Examples of correlation detection

$\stackrel{}{m}=2$ since $D(r, s_1)> D(r, s_2)$ or $(s_1)^2=(s_2)^2$ and $r\cdot s_2> r\cdot s_1$ .

Data symbols "0" or "1" with equal probability. Modulator $s_1(t)=s(t)$ for $0\le t\le T$ and $s_2(t)=-s(t)$ for $0\le t\le T$ .

${}_1(t)=\frac{s(t)}{\sqrt{A^{2}T}}$ , $s_{11}=A\sqrt{T}$ , and $s_{21}=-(A\sqrt{T})$

$\stackrel{}{m}=(\{A\sqrt{T}{r}_1, -(A\sqrt{T}{r}_1)\})$ , since $A\sqrt{T}> 0$ and $(s_1)=(s_1)$ then the MAP decision rule decides.

$s_1(t)$ was transmitted if $r_1\ge 0$

$s_2(t)$ was transmitted if $r_1< 0$

An alternate demodulator: