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Let's say we have the response of a discrete system  to a unit step, the measured data is available as a vector in Maple. As example: seq(evalf[2](exp(-n/5)*sin(n)),n=0..20);

How can I find the coefficients of the transfer function G(z)=(a1*z+a2)/(b1*z^2+b2*z+b3)?

Here is a paper that describes on page 27ff how to do this with regression.
http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.136.373&rep=rep1&type=pdf

Maybe there is a better way.

Hi, 

I am relatively new to Maple and I am seeking an efficient way to create a probability histogram for a discrete probability distribution. For example,

x:      1     3   5    7

p(x): 1/8 1/4 1/2 1/8

I would like rectangles with height corresponding to the probabilities with bases centered at each x value, allowing for the possibility of gaps in the distribtuion.

I have a sample waveform of an air conditioner and want to see if any low frequencies (10 Hz which is harmful to human health) exist in the wave.  How can I do that?

Granted the frequencies picked up in the recorded file depend on the quality of the recording and the recorder and lower frequencies may not have been picked up. 

I've looked at