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Re: How one can demonstrate that microphone is a nonlinear device?

Generally for a linear system, if you apply a gain to the input you expect to get the output amplified with the same gain. In other words if for input x the output is y, then in a linear system for input g*x the output is g*y, for every choice of g. So one option is to play the same sound at various levels, record it with the mic, and analyze the recorded signal to see if the above rule holds. Of course you have to make sure, as much as possible, that every other part of the recording chain (including the source of the input signal) is a linear system by itself.

On Mon, Jun 11, 2012 at 9:13 PM, Hafiz Malik <hafiz.malik@xxxxxxxxx> wrote:
Hi Every 1,

Microphone is generally modeled using a second-order nonlinear function, that is, y(n) = ax(n) + b x(n)^{2} where x(n) is the microphone input.

How can one demonstrate this non-linearity?

Any suggestions/comments/literature in this regard.

Hafiz Malik
Assistant Professor
Electrical and Computer Engineering Department,
University of Michigan - Dearborn
Dearborn, MI 48128
RN: 220 ELB
Tel: (313)5935677
Fax: (313)5836336