MATLAB: How to get the transfer function of a system according to its discrete impulse response

impulse responsetransfer function

I have the discrete impulse response of a system, how to obtain its IIR transfer function with MATLAB?

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Start by preparing your input and output data with the System Identification Toolbox iddata (link) function, then use the tfest (link) function to identify the transfer function. There are other applicable functions as well, linked in and at the end of those documentation pages.

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MATLAB: IMPULSE AND STEP RESPONSE

Hi,

Quite simply, you can use the step() and impulse() commands given a continuous-time system. The inputs to these commands is a transfer function generated using the tf(numerator_coeffs, denomenator_coeffs). If you do not specify an output to these functions, they will generate a plot with impulse or step response respectively. If you specify an output, then it is left you to plot the results.

I would encourage you to review the help files for each command, but below is a code snippet to get you going.

 transFcn = tf([1], [1,1]) % Transfer function for the system 1/(s+1)
 impulse(transFcn);              % Generates impulse response
 [y, t] = step(transFcn);        % Generates response and time
 figure(1), clf, plot(t, y), xlabel('Time'), ylabel('Response'), title('Step Response');

Hope this helps!

EDIT: swapped arguments in the plot() fcn call to match axis labels

MATLAB: Calculating the impulse response

If you have a discrete filter and want to compute and plot the impulse response, use the impz function. For the transfer function, use the freqz function.

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Related Solutions

MATLAB: IMPULSE AND STEP RESPONSE

MATLAB: Calculating the impulse response

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