# Deriving Data and Plotting

In the following x means multiply.

Let

```
z1=2 x pi x 650 x 10^6
p1=2 x pi x 1.9 x 10^9
p2=2 x pi x 5 x 10^9
adc=.667
deltaF=.2 x 10^9
```

In the following j is the imaginary representation
Now let `N=(adc x p1 x p2)/z1`

and

```
M=(-2 x j x pi x freq x z1)/((-2 x j x pi x freq+p1) x (-2 x j x pi x freq+p2))
```

The base formula is abs(20 x log(N x M,10)) or the absolute value of 20 log(N x M) where the log base is base 10. Within the base formula is *freq* (the value of the frequency) which will be swept from 10^8 to 10^11 in steps of deltaF (.2 x 10^9)

The vertical range is from -25 to 5 (linear scale) and the horizontal range is from 10^8 to 10^11 (log scale)

The horizontal axis as stated is a **Log** scale as opposed to Linear.

How do I set this up in Sage to plot per the above? Thanks.