z-Transform Consequently z-transform has become an important tool in the analysis and design of digital filters For a given sequence gln], its z-transform G(z)is defined as G()=∑gn]zn n=-0 Where z=Re(二)+jlm(二)∈ C is a complex variable Copyright C 2001, S K. MitraCopyright © 2001, S. K. Mitra 3 z-Transform • Consequently, z-transform has become an important tool in the analysis and design of digital filters • For a given sequence g[n], its z-transform G(z) is defined as where is a complex variable   =− − = n n G(z) g[n]z z z j z = +  Re( ) Im( )