Bode Magnitude

#Math

$\displaystyle H(s)=k \frac{(s-z_{1})\ldots (s-z_{m})}{(s-p_{1})\ldots (s-p_{n})}\rightarrow 20\log_{10}\lvert H(j\omega)\rvert= 20\log_{10}\lvert k\rvert+\sum_{i = 1}^{m}20\log_{10}\lvert j\omega-z_{i}\rvert-\sum_{i = 1}^{n}20\log_{10}\lvert j\omega-p_{i}\rvert$