Simulation for Home work 7 Problem 4


Q4. LMS algorithm for channel equalization using training signals:
Consider the following block diagram for the adaptive channel equalizer using training sequences.
[scale=0.65]adapchannelequalizer.jpg



Solution 4.
Table for various combinations of F, LMS Order and Variance.
 S.No     F     LMS
Order 		  Variance    BER    MSE 
 Plot 		   Weight 
Plot 		  Weights 
1 3.2 11 0.01 0.0027 mse weight -0.0015 0.0006 0.0002 -0.0013 0.0023
0.0045 0.0039 -0.0174 0.0780 -0.2790 0.9703
2 3.2 11 0.1 0.0266 mse weight 0.0063 0.0050 -0.0010 -0.0001 0.0027
-0.0034 -0.0021 -0.0002 0.0234 -0.1862 0.8592
3 3.2 9 0.01 0.0021 mse weight 0.0005 -0.0003 0.0001 -0.0023
0.0080 -0.0214 0.0789 -0.2848 0.9761
4 3.2 9 0.1 0.0251 mse weight 0.0010 -0.0020 0.0063 -0.0011
-0.0054 0.0059 0.02302
5 3.2 7 0.01 0.0018 mse weight -0.0070 0.0024 0.0043 -0.0224
0.0756 -0.2801 0.9730
6 3.2 7 0.1 0.0229 mse weight 0.0007 -0.0057 0.0020 0.0051
0.0192 -0.1791 0.8585
7 3 11 0.01 0.0018 mse weight 0.0036 0.0025 -0.0025 0.0017 0.0029
0.0052 0.0022 -0.0098 0.0564 -0.2394 0.983
8 3 11 0.1 0.014 mse weight -0.0011 -0.0013 0.0068 0.0037
-0.0005 -0.0060 0.0014 -0.0068 0.0224 -0.1643 0.8831
9 3 9 0.01 0.0015 mse weight 0.0003 0.0035 -0.0046 0.0024
0.0032 -0.0099 0.0500 -0.2340 0.9808
10 3 9 0.1 0.013 mse weight -0.0007 0.0019 -0.0072 -0.0014
0.0004 0.0002 0.0174 -0.1608 0.8802
11 3 7 0.01 0.0013 mse weight -0.0016 0.0029 -0.0001 -0.0111
0.0533 -0.2311 0.9829
12 3 7 0.1 0.0121 mse weight 0.0018 0.0058 -0.0044 0.0040
0.0296 -0.1694 0.8859