title: Decomposing the numerator and the denominator polynomials into their even and odd parts
body: <p>Here there is a continues time transfer function <code>(G(s))</code> in form of:</p>
  
  <pre><code>G(s) = N(s)/D(s);
  G(s) = (s^3+4s^2-s+1)/(s^5+2s^4+32s^3+14s^2-4s+50)     (1)
  </code></pre>
  
  <p>and <code>(s = j*w)</code> where <code>w = frequency symbol.</code></p>
  
  <p>Now, how is it possible to decompose the numerator and the denominator
  polynomials of Eq. (1) into their even and odd parts and get the <code>G(jw)</code> as (Using Matlab) :</p>
  
  <p><a href="https://i.stack.imgur.com/Xno1x.png" rel="nofollow noreferrer"><img src="https://i.stack.imgur.com/Xno1x.png" alt="enter image description here"></a></p>