Assignment 1 signal and systems, Assignments of Signals and Systems

EED-201 (Signals and Systems): ASSIGNMENT 1

Submit on / before Sept. 20, 2020.

Solve all the questions.

1. A function 𝑔(𝑡) is defined by:

𝑔(𝑡)=

0,𝑡<−2

−4−2𝑡, −2<𝑡<0

−4−3𝑡, 0<𝑡<4

16−2𝑡, 4<𝑡<8

0, 𝑡>8

Plot 3𝑔(𝑡+1), (1/2)𝑔(3𝑡), −2𝑔((𝑡−1)/2).

2. Evaluate 𝑥(𝑡)∗ℎ(𝑡) for Figures 1 and 2 where 𝑥(𝑡) and ℎ(𝑡) are shown below by analytical and

graphical methods:

Figure 2

3. For each pair of signals 𝑥1[𝑛] and 𝑥2[𝑛], find the numerical value of 𝑦[𝑛]=𝑥1[𝑛]⊛𝑥2[𝑛] at the

indicated values of n.