Z(e) is then passed through a low-pass filter with cut-off frequency wm and gain of 1. DTFT of Ten is shown below X(ea x)=丌-M uM丌(2x-M)2ru n=an sinon Using table 5.2 and taking Fourier transform of sinon D{nn}=∑{6(m-m-2)-b(+-2m)} We find Zs(ej) using the periodic convolution as before. The superposition terms centered at w=0 from X(e)(in dashed lines)are shown below. Adding the super- position terms, resulting Zs(eu) is shown for interval -T to T 12 Zs(eu) goes through the low-pass filter with cut-off frequency wM and gain of 1, we find DTFT of s[n] as shown below� Zc(ejw) is then passed through a low-pass filter with cut-off frequency wM and gain of 1. DTFT of xc[n] is shown below. Xc(ejw) 1 2 −2π −(2π − ωM) −π −ωM 0 ωM π (2π − ωM ) 2π ω Let zs[n] = x[n] sin[won] Using table 5.2 and taking Fourier transform of sin[won], +∞ π [won]} = j DT FT {sin {δ(w − wo − 2πl) − δ(w + wo − 2πl)} l=−∞ We find Zs(ejw) using the periodic convolution as before. The superposition terms centered at w = 0 from X(ejw) (in dashed lines) are shown below. Adding the super￾position terms, resulting Zs(ejw) is shown for interval −π to π. Zs(ejw) 5π 12 11π 12 −5π − 12 11π −π 12 −ωM π ωM 1 2j − 1 2j ω Zs(ejw) goes through the low-pass filter with cut-off frequency wM and gain of 1, we find DTFT of xs[n] as shown below. 6