<P> The modified or advanced Z - transform was later developed and popularized by E.I. Jury . </P> <P> The idea contained within the Z - transform is also known in mathematical literature as the method of generating functions which can be traced back as early as 1730 when it was introduced by de Moivre in conjunction with probability theory . From a mathematical view the Z - transform can also be viewed as a Laurent series where one views the sequence of numbers under consideration as the (Laurent) expansion of an analytic function . </P> <P> The Z - transform can be defined as either a one - sided or two - sided transform . </P> <P> The bilateral or two - sided Z - transform of a discrete - time signal x (n) is the formal power series X (z) defined as </P>

What is z transform in digital signal processing
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