# Questions tagged [transfer-function]

Transfer function is a mathematical representation of relationship between input and output (signal) of a linear, time-invariant system.

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### Do Causal Discrete-time systems have proper transfer functions?

In the case of continuous-time systems, if the system is causal, its Laplace transfer function is strictly proper (the degree of the numerator is less than the degree of the denominator). Is this ...
27k views

### How poles are related to frequency response

I have recently fallen into fallacy, considering pole s=1 as there is infinite response at frequency 1. Yet, response was only 1. Now, can you derive the frequency response, given the poles? ...
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### Estimate a microphone's transfer function

I am trying to compare the transfer functions of k different microphones and need some advice on my current approach. As of now, I have attempted the following: Play a pink noise test tone $(X)$ ...
46 views

### How to invert FFT these magnitude equations to get FIR filters?

I need filter designs that will reproduce or approximate each of the following: 1) ${\rm magnitude} = e^{-cf^{2}}$ 2) ${\rm magnitude} = e^{-\frac{a+b\sqrt{gf}}{df}}$ Where: $a$, $b$, $c$, $d$ and \$...
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### Can I use Fourier transforms instead of Laplace transforms (analyzing RC circuit)?

I don't study electrical engineering or something related but I was assigned a problem on transfer functions, impulse responses, and in general, everything related to this post. (Specifically, I'm ...