Chapter 5 The discrete-Time Fourier transform onvergence ssues Associated with the Discrete-Time Fourier Transform 1. xn is absolutely summable, ∑x[|<∞ 2. xin] has finite energy. <OO n=-0 Discrete-time r(eio)=x(eio H(eio) Fourier Analysis F-Y 44 Chapter 5 The Discrete-Time Fourier Transform Convergence Issues Associated with the Discrete-Time Fourier Transform n x n + =− 1. is absolutely summable, xn 2. has finite energy, xn + =− 2 x n n ( ) ( ) ( ) j j j Y e = X e H e ( ) 1 F - j y n Y e = Discrete-time Fourier Analysis