Description of the 16-QAM simulation.
Description of the 16-QAM simulation.
Description of the 16-QAM simulation.
Create successful ePaper yourself
Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.
Solution 6 (click to go back)<br />
S <strong>16</strong>-<strong>QAM</strong> = 10a 2<br />
(25)<br />
4<br />
P <strong>16</strong>-<strong>QAM</strong> = ----- 2Q⎛ a<br />
<strong>16</strong> ⎝σ -- ⎞ – Q<br />
⎠<br />
2 ⎛ a ⎝σ -- ⎞<br />
⎠<br />
⎧ ⎪⎪⎪⎨⎪⎪⎪⎩<br />
A 1<br />
, A 4<br />
, A 13<br />
, A <strong>16</strong><br />
+<br />
8<br />
----- Q⎛ a<br />
<strong>16</strong> ⎝σ -- ⎞ ⎧<br />
+ 1 – Q⎛ a<br />
⎠ ⎝σ -- ⎞<br />
⎨ ⎠<br />
⎩<br />
⎧ ⎪⎪⎪⎪⎪⎪⎪⎨⎪⎪⎪⎪⎪⎪⎪⎩<br />
⎫ ⎧<br />
⎬⋅<br />
⎨<br />
⎭ ⎩<br />
⎛ ⎞ Q⎛ a ⎝σ -- ⎞⎫<br />
+<br />
⎠⎬<br />
⎭<br />
Q a σ -- ⎝ ⎠<br />
A 2<br />
, A 3<br />
, A 5<br />
, A 8<br />
, A 9<br />
, A 12<br />
, A 14<br />
, A 15<br />
+<br />
4<br />
----- 2Q⎛ a<br />
<strong>16</strong> ⎝σ -- ⎞ ⎧<br />
+ 1–<br />
2Q⎛ a<br />
⎠ ⎝σ -- ⎞<br />
⎨ ⎠<br />
⎩<br />
⎧ ⎪⎪⎪⎪⎪⎪⎨⎪⎪⎪⎪⎪⎪⎩<br />
A 6<br />
, A 7<br />
, A 10<br />
, A 11<br />
⎫ a<br />
⎬⋅<br />
2Q --<br />
⎝ ⎛ ⎭ σ⎠<br />
⎞<br />
(26)<br />
3Q⎛ a ⎝σ -- ⎞ 9<br />
= – --Q<br />
⎠ 4<br />
2 ⎛ a ⎝σ -- ⎞ 3Q⎛ SNR ---------- ⎞ 9<br />
=<br />
– --Q<br />
⎠ ⎝ 10 ⎠ 4<br />
2 ⎛<br />
⎝<br />
SNR<br />
---------- ⎞<br />
10 ⎠<br />
=<br />
⎛<br />
3Q⎜<br />
⎜<br />
⎝<br />
SNR dB<br />
10 ---------------<br />
10<br />
⎞<br />
------------------ ⎟<br />
10 ⎟<br />
⎠<br />
–<br />
SNR dB<br />
⎛ ---------------<br />
9<br />
--Q<br />
4<br />
2 10<br />
10<br />
⎞<br />
⎜ ------------------ ⎟<br />
⎜ 10 ⎟<br />
⎝ ⎠<br />
(27)<br />
SNR dB<br />
P <strong>16</strong>-<strong>QAM</strong><br />
SNR dB<br />
P <strong>16</strong>-<strong>QAM</strong><br />
0 0.80979256 12 0.28773651<br />
1 0.79027909 13 0.22268236<br />
2 0.76759250 14 0.<strong>16</strong>230454<br />
3 0.74125244 15 0.10984263<br />
4 0.71074913 <strong>16</strong> 0.067830428<br />
5 0.67557021 17 0.037404624<br />
6 0.63524598 18 0.017932041<br />
7 0.58941918 19 0.0072268271<br />
8 0.53794439 20 0.0023467250<br />
9 0.48101796 21 0.00058187175<br />
10 0.41932991 22 0.00010290522<br />
11 0.35421249 23 0.000011907710<br />
(click to go back)
Change language