To be more specific, suppose we have a function like f(t)=exp(-a*t) and we would like to transform this function to the 'a' domain (F(a)) by using some transform (just like we transform f(t)=exp(-i*w*t) from time domain to 'w'(frequency) domain). so i thought laplace transform would be useful then i read somewhere that discrete laplace transform is called z transform. but when i am applying it in matlab it is showing some error saying 'laplace/z-transform is not defined for the type double'. please help anyone. thanks in advance.
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The z-transform is not the discrete Laplace transform, also the z transform of a discrete signal is a continuous function. The ztrans function of symbolic math toolbox calculate the symbolic z-transform of your signal.