Zeros and Poles - Complex Analysis question - Home Theater Forum and Systems - HomeTheaterShack.com

Old 12-29-14, 10:37 AM Thread Starter
Shackster

Join Date: Dec 2014
Location: United States
Posts: 25
My System
Zeros and Poles - Complex Analysis question

Hi,

I've been playing with REW and noticed there's a display titled 'Zeros and Poles' so I'm assuming that's referring to the zeros and poles of some analytic function. Is there a description of this function and what the plot tells you I could understand? I was an algebraic geometer at one point in time and still have my copy of Alfors lying around somewhere, but I don't have any knowledge of things like FFT's. (All I can tell you is a FT is sort of a periodic analog of a Taylor series.) I'd be happy with just a reference. More generally, are there good references which describe audio theory from a complex analytic viewpoint?
mark3141 is offline

Old 01-05-15, 08:43 PM
Shackster
Eric

Join Date: Dec 2014
Location: Indiana
Posts: 7
Re: Zeros and Poles - Complex Analysis question

You are correct that zeros and poles refer to a function and more specifically it is the system Transfer Function. The transfer function gives you the system response and you can change this response by moving the poles and zeros of said system. I don't have my textbooks at the moment since I keep them at work but if you would like I could give you the name of these textbooks but they are rather expensive. I would start with wiki and see what you can learn about transfer functions and poles and zeros. If you are not too worried about the math, this may be an acceptable resource. I am new to REW so I am not familiar with what all you can do with the poles in zeros in the program. Hopefully someones can help with specific uses in REW. In the meantime I'll look at the transfer function in REW and play with the poles and zeros.
epwhitney1 is offline
Old 01-06-15, 12:15 PM Thread Starter
Shackster

Join Date: Dec 2014
Location: United States
Posts: 25
My System
Re: Zeros and Poles - Complex Analysis question

Thanks! I'll start with Wikipedia and go from there. I think just knowing to search for transfer function should be enough to get me started.

It's kinda cool to combine home audio and complex analysis. I come from the world of pure math, and I've always liked the elegance of complex analysis. It's a world of difference between that and its real counterpart.
mark3141 is offline

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