All Exams > Electrical Engineering (EE) > 3 Months Preparation for GATE Electrical > All Questions
All questions of Sampling Theorem for Electrical Engineering (EE) Exam
If x(t) = t,u(t) (Ramp) and h(t) = δ(t) - δ(t - 1) , find y(t) .- a)tu(t) - (t - 1)u(t - 1)
- b)u(t) - u(t - 1)
- c)t[u(t) - u(t - 1)]
- d)rect(t - 0.5)
Correct answer is option 'A'. Can you explain this answer?
If x(t) = t,u(t) (Ramp) and h(t) = δ(t) - δ(t - 1) , find y(t) .
a)
tu(t) - (t - 1)u(t - 1)
b)
u(t) - u(t - 1)
c)
t[u(t) - u(t - 1)]
d)
rect(t - 0.5)
 | Engineers Adda answered |
Concept: Distributive property.
Calculation:
y(t) = x(t) * δ(t) - δ(t - 1)] .
y(t) = [x(t) * δ(t)] - [x(t) * δ(t -t - 1)] .
y(t) = x(t) - x(t - 1) .
Substitute x(t) = tu(t) .
y(t) = tu(t) - (t - 1)u(t - 1) .
Calculation:
y(t) = x(t) * δ(t) - δ(t - 1)] .
y(t) = [x(t) * δ(t)] - [x(t) * δ(t -t - 1)] .
y(t) = x(t) - x(t - 1) .
Substitute x(t) = tu(t) .
y(t) = tu(t) - (t - 1)u(t - 1) .
Chapter doubts & questions for Sampling Theorem - 3 Months Preparation for GATE Electrical 2026 is part of Electrical Engineering (EE) exam preparation. The chapters have been prepared according to the Electrical Engineering (EE) exam syllabus. The Chapter doubts & questions, notes, tests & MCQs are made for Electrical Engineering (EE) 2026 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests here.
Chapter doubts & questions of Sampling Theorem - 3 Months Preparation for GATE Electrical in English & Hindi are available as part of Electrical Engineering (EE) exam. Download more important topics, notes, lectures and mock test series for Electrical Engineering (EE) Exam by signing up for free.
3 Months Preparation for GATE Electrical676 videos|1399 docs|882 tests |
