Digital signal processing: Roles of Z-transform & Digital Filters

Abstract This Research Paper first, briefly explains Z-transform, compares it with Laplace transform and also briefly explains difference equation and differential equation.it then takes up difference equation and demystifies its implementation in digital filtering operations. This work further x-rays digital filters with focus on finite impulse response (FIR) and Infinite impulse Response (IIR) filter, basic comparison between IIR and FIR are also highlighted. Finally, based on this work, choice of a filter for a particular purpose is hinted. However, this work does not go into mathematical derivations but it did use the relevant formulae and equations as it pertains to digital signal processing and viewed from relevant application perspectives.