How can I use an irrational transfer function to convolve a signal?

1. What is irrational transfer function?
2. How do you find the impulse response from a transfer function?
3. How do you define a transfer function in Matlab?

What is irrational transfer function?

Irrational transfer function has been widely used in modelling and identification. But time response analysis of systems with irrational transfer functions is hard to be achieved in comparison with the rational ones. One of the main reasons is that irrational transfer function generally has infinite poles or zero.

How do you find the impulse response from a transfer function?

To find the unit impulse response of a system we simply take the inverse Laplace Transform of the transfer function.

How do you define a transfer function in Matlab?

Transfer functions are a frequency-domain representation of linear time-invariant systems. For instance, consider a continuous-time SISO dynamic system represented by the transfer function sys(s) = N(s)/D(s) , where s = jw and N(s) and D(s) are called the numerator and denominator polynomials, respectively.