Relationship between z-transform and Fourier transform Express the z in polar form as Z=re X(z)=∑x]z re e vwn The Fourier transform of the product of x n and r(the exponential sequence r=1,X(2)=→X(e-)6 ◆Express the z in polar form as Relationship between z-transform and Fourier transform jw Z = re ( ) (   )  − =− − = =  jw n jwn n X re x n r e ◆The Fourier transform of the product of and (the exponential sequence ). x n  n r − If r X Z =1, ( ) ( )   n n X z x n z  =− − =  ( ) jw X e