z-Transform Consequently, z-transform has become an important tool in the analysis and design of digital filters For a given sequence gn], its z-transform G(z) is defined as G(z)=∑g[n] 1=-00 where 2=re(z)+j Im(zEC 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( )