In M-ary signaling, the mth waveform is represented as
2 Es 2 (m 1) xm (t ) cos 2 f ct 0 Ts M
0 t Ts , m 1, 2,..., M
where 0 0或 M ; or 式中:
yn (Ts ) r hn (Ts )d
r n ( )d
Ts
r n ( )d
0
rn
Given the demodulator output r
, the decision device is to perform a mapping from r to an estimate s of the transmitted symbol in a way ˆ that will minimize the probability of error in the decision making process.
Ts 0
n 1, 2, , N
r (t )
1 (t )
dt
Ts 0
r1 r2
2 (t )
N (t )
dt
Ts 0
r
dt
Ts 0
rN
r (t )
h1 t
t Ts t Ts t Ts
r1 r2
h2 t
r
hN t
rN
hn (t ) n (Ts t )
2 Eb x1 (t ) cos( 2f ct ), Tb 2 Eb x2 (t ) cos( 2f ct ), Tb
Only the basis function, 1 (t ) represent the BPSK signals.