1. EE150: Signals and Systems 2016-Spring
QUIZ-5
EE150: Signals and Systems
2016-Spring

2. 𝑥 𝑡 = sin 𝜋 𝑡 𝑇 0 𝜋 𝑡 𝑇 0 ⋅ sin 𝜋 𝑡 𝑇 0 𝜋 𝑡 𝑇 0
Continuous signal
𝑥 𝑡 = sin 𝜋 𝑡 𝑇 𝜋 𝑡 𝑇 0 ⋅ sin 𝜋 𝑡 𝑇 𝜋 𝑡 𝑇 0
is sampled at a sampling period of 𝑇 𝑠 = 𝑇 to get the discrete signal 𝑥 𝑠 𝑛 :
𝒙(𝒕)
Sampling
𝑇 𝑠
𝒙 𝒔 [𝒏]
Down-Sampling 𝑀
𝒙 𝒅 [𝒏]
1. (2 points)
Plot the Fourier transform of 𝑥(𝑡) and the DTFT of 𝑥 𝑠 𝑛 ;
2. (1.5 points)
Plot the DTFT of of 𝑥 𝑑 𝑛 when 𝑀 =2
3. (1.5 points)
Plot the DTFT of of 𝑥 𝑑 𝑛 when 𝑀 =3