docs update
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@@ -80,10 +80,13 @@
### 3.1 Filter Derivation
[image of matlab architecture] <br>
Different topologies of bandpass filters were simulated to meet specification. The final decision was a 4th order Butterworth LC bandpass. This allowed for minimum insertion loss, nominal phase delay, and a relatively low noise figure. The generalized transfer function for it's frequency response has been provided below.
+
$$
| \ H(j\omega) \ | = [1+(\frac{\omega}{\omega_{c}})^{2n}]^{-1/2}
$$
+
The intrinsic attenuation can be calculated aswell.
+
$$
A_{d} = 10\log_{10}(1+(\frac{\omega}{\omega_{c}})^{2n})
$$