The poles of the discrete transfer function correspond to the poles of the continuous time transfer functions such as: Note: The Low-Pass Filter Discretization article explains the discretization process in detail. Using a Laplace to Z transform look-up table: The discrete counterpart of the transfer function is obtained using the zero-order hold technique: The poles of the continuous transfer function can be easily determined: The poles can either be real (and may or may not have the same location) or complex conjugate, where the real parts of the poles are identical and imaginary parts are negative to each other. ![]() The continuous-time transfer function has two poles and no zeros. ![]() ![]() The following two-pole continuous transfer function is used in the interactive demo above and throughout this article: This article focuses on the relationship between the Laplace domain (s-domain) and z-domain representations of continuous-time and discrete-time transfer functions.
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