<div dir="ltr"><div class="gmail_default" style="font-family:arial,helvetica,sans-serif"><br></div><div class="gmail_extra"><br><br><div class="gmail_quote">On Tue, Sep 24, 2013 at 6:32 PM, Simon Wise <span dir="ltr"><<a href="mailto:simonzwise@gmail.com" target="_blank">simonzwise@gmail.com</a>></span> wrote:<br>
<blockquote class="gmail_quote" style="margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex"><div class="HOEnZb"><div class="h5">On 24/09/13 21:46, Funs Seelen wrote:<br>
<blockquote class="gmail_quote" style="margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex">
On Tue, Sep 24, 2013 at 3:35 PM, Alexandre Torres Porres<br>
<<a href="mailto:porres@gmail.com" target="_blank">porres@gmail.com</a>>wrote:<br>
<br>
<blockquote class="gmail_quote" style="margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex">
so you're basically saying all i need to use is use only the real part,<br>
right?<br>
<br>
</blockquote>
<br>
No, I meant that I have the idea that the imaginary part in the calculated<br>
coefficients will disappear automatically if you add complex conjugates for<br>
all poles and zeros, probably when somehow i^2 gets -1 somewhere. But I<br>
must say I'm not a mathematician and not sure at all.<br>
</blockquote>
<br></div></div>
indeed it will ... a conjugate is the number with the imaginary part negated ... so adding a number and its conjugate will certainly end up with a real part only.<span class="HOEnZb"><font color="#888888"><br></font></span></blockquote>
<div><br><div class="gmail_default" style="font-family:arial,helvetica,sans-serif">Yes, true, and the imaginary part disappears as well when multiplying if the real parts are equal, e.g.:<br><br></div><div class="gmail_default" style="font-family:arial,helvetica,sans-serif">
i^2 = -1, so ...<br><br></div><div class="gmail_default" style="font-family:arial,helvetica,sans-serif">(0.5 + 0.5i) * (0.5 - 0.5i) = 0.25 + 0.25i - 0.25i - 0.25i^2 = 0.5<br></div> </div><blockquote class="gmail_quote" style="margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex">
<span class="HOEnZb"><font color="#888888">
<br>
<br>
Simon</font></span><div class="HOEnZb"><div class="h5"><br>
<br>
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