ENSC428_09Lee - Performance of Coherent M-ary Signaling...

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Performance of Coherent M-ary Signaling ENSC 428 – Spring 2007
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Digital Communication System
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1. M-ary PSK T sin
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cont …
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cont …
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Integration over IQ plane
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cont … () 2 00 22 l o g 2s i n2 s i n sb s EE M Pe Q Q NM N M ππ  ≈=  
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cont …
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2. M-ary Orthogonal Signaling
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cont … 3-ary orthogonal signal space
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cont … assume equally likely M-ary symbols a priori 12 1 2 {1,2,. .., ) ( , ,. .., ) ( , ,..., ) Optimal decision rule argmax MM mM m rr r s w w w r = +
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cont … assume equally likely symbols a priori () 11 12 1 3 1 1 1 1 1 2 23 1 1 0 0 2 1 2 0 (symmetry) 1, , . . . , , 1 , ,..., exp 1 exp MM sm mm M rs s M M s i i Pe Pes Pn rn r n rr xs f xs d x xE P nx n x r x d x N N Pn xr x N π == −∞ −∞ = −∞ = −= < < < =  = < < <= < = ∑∑ 0 2 1 0 00 1 1e x p /2 M s dx N x Qd x N NN −∞    =−  
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cont … union bound () ( ) () 2 00 2 22 2 log 1( 1 ) 1 Also, let us learn exp , 0 11 1 1 exp exp , 0 (Gallager Problem 10.4) sb s EE
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This note was uploaded on 10/07/2009 for the course ENSC 5210 taught by Professor Daniellee during the Spring '08 term at Simon Fraser.

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ENSC428_09Lee - Performance of Coherent M-ary Signaling...

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