Our first step was to generate a Y1 with random ones and zeros and see if there is any direct relationship to v1. The following demonstrates the code used to produce random binary values (impedances for Y1), while Fig 1 shows the output of the comparison.

```
for c = 1:m,
if rand > 0.5,
y1(c) = one;
else
y1(c) = 0;
end
end
Y1 = diag(y1);
v1 = nfc(Y1, S0);
subplot(2,1,1)
stem(1:20, y1, 'r')
title('Magnitude of Y1')
subplot(2,1,2)
stem(1:20, abs(v1), 'b')
title('Magnitude of v1')
```

From these graphs, there was no obvious correlation between the “0’s” and “1’s” in Y1 and the values of v1. From here, a linear relationship was tested.