Z-Transform

Savitribai Phule Shikshan Prasarak Mandal’s
SKN SINHGAD COLLEGE OF ENGINEERING
(Approved by AICTE & Affiliated to PAH Solapur University, Solapur)
A/p- Korti, Tal- Pandharpur, Pin- 413304, Dist.- Solapur.
Phone: 02186-250146, E-mail: , Website: https://www.sknscoe.ac.in



Unit No.02: Z- Transform CO BL PI

1 If {𝑓(𝑘)} = 3𝑘 , 𝑘 ≥ 0 then its z-transform is…. CO.4 L3 2.1.2
1
A) 𝑧−3
B) 𝑧(𝑧 − 3)
𝑧
C) 𝑧−3
𝑧−3 𝑧
D) with the condition ⃒3⃒<1
𝑧
2 𝑍 (1) = ⋯ CO.4 L3 2.1.2
1
A) 𝑧−1
𝑧
B) 𝑧−1
1
C) 𝑧+1
𝑧
D) 𝑧+1
3 If {𝑓(𝑘)} = 4𝑘 , 𝑘 ≥ 0 then its ROC is… CO.4 L3 2.1.2
A) |𝑧| > 4
B) |𝑧| < 4
C) |𝑧| > 0
D) |𝑧| < 0
4 If {𝑓(𝑘)} = 3𝑘 , 𝑘 ≥ 0 then 𝑍{3𝑘 } is… CO.4 L3 2.1.2
1
A) 𝑧−3
B) 𝑧(𝑧 − 3)
𝑧
C) 𝑧−3
𝑧
D) 𝑧+3
5 If 𝑍{𝑓(𝑘)} = 𝐹(𝑧), 𝑡ℎ𝑒𝑛 𝑍{𝑎𝑘 𝑓(𝑘)} = ⋯ CO.4 L3 2.1.2
𝑎
A) 𝐹 ( 𝑧 )
𝑧
B) 𝐹 (𝑎)
1 𝑧
C) 𝑎 𝐹 (𝑎)
1 𝑎
D) 𝑎 𝐹 ( 𝑧 )
𝑧
6 Since 𝑍{1} = , 𝑍{𝑎𝑘 } , (𝑘 ≥ 0) = ⋯ CO.4 L3 2.1.2
𝑧−1
𝑧
A) 𝑎𝑧−1
𝑧
B) 𝑧−𝑎
𝑎
C)
𝑧−𝑎
𝑧
D) 𝑎(𝑧−1)