GATE Exam > GATE Questions > Two systems with impulse responsesh1(t) and h...
Start Learning for Free
Two systems with impulse responses h1(t) and h2(t) are connected in cascade. Then the overall impulse response of the cascaded system is given by
- a)a product of h1(t) and h2(t)
- b)sum of of h1(t) and h2(t)
- c)convolution of h1(t) and h2(t)
- d)subtraction of h2(t) from h1(t)
Correct answer is option 'C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
Two systems with impulse responsesh1(t) and h2(t) are connected in cas...
Most Upvoted Answer
Two systems with impulse responsesh1(t) and h2(t) are connected in cas...
Impulse Response of Cascaded Systems
When two systems are connected in cascade, the overall impulse response of the cascaded system can be found by taking the convolution of the impulse responses of the individual systems.
Explanation
Let's consider two systems with impulse responses h1(t) and h2(t) connected in cascade. When an input impulse is applied to the cascaded system, it will pass through the first system with impulse response h1(t) and then through the second system with impulse response h2(t).
Now, let's denote the input impulse as x(t). The output of the first system can be represented as y1(t) = h1(t) * x(t), where * denotes the convolution operation. This output becomes the input to the second system.
Therefore, the output of the cascaded system can be represented as y(t) = h2(t) * y1(t) = h2(t) * (h1(t) * x(t)).
By using the associative property of convolution, we can rewrite the expression as y(t) = (h2(t) * h1(t)) * x(t).
Thus, the overall impulse response of the cascaded system is given by the convolution of h1(t) and h2(t), i.e., h(t) = h2(t) * h1(t).
Answer
The correct answer is option 'C', which states that the overall impulse response of the cascaded system is the convolution of h1(t) and h2(t).
|
Explore Courses for GATE exam
|
|
Similar GATE Doubts
Two systems with impulse responsesh1(t) and h2(t) are connected in cascade.Then the overall impulse response of the cascaded system is given bya)a product of h1(t) and h2(t)b)sum of of h1(t) and h2(t)c)convolution ofh1(t) and h2(t)d)subtraction of h2(t) from h1(t)Correct answer is option 'C'. Can you explain this answer?
Question Description
Two systems with impulse responsesh1(t) and h2(t) are connected in cascade.Then the overall impulse response of the cascaded system is given bya)a product of h1(t) and h2(t)b)sum of of h1(t) and h2(t)c)convolution ofh1(t) and h2(t)d)subtraction of h2(t) from h1(t)Correct answer is option 'C'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about Two systems with impulse responsesh1(t) and h2(t) are connected in cascade.Then the overall impulse response of the cascaded system is given bya)a product of h1(t) and h2(t)b)sum of of h1(t) and h2(t)c)convolution ofh1(t) and h2(t)d)subtraction of h2(t) from h1(t)Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two systems with impulse responsesh1(t) and h2(t) are connected in cascade.Then the overall impulse response of the cascaded system is given bya)a product of h1(t) and h2(t)b)sum of of h1(t) and h2(t)c)convolution ofh1(t) and h2(t)d)subtraction of h2(t) from h1(t)Correct answer is option 'C'. Can you explain this answer?.
Two systems with impulse responsesh1(t) and h2(t) are connected in cascade.Then the overall impulse response of the cascaded system is given bya)a product of h1(t) and h2(t)b)sum of of h1(t) and h2(t)c)convolution ofh1(t) and h2(t)d)subtraction of h2(t) from h1(t)Correct answer is option 'C'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about Two systems with impulse responsesh1(t) and h2(t) are connected in cascade.Then the overall impulse response of the cascaded system is given bya)a product of h1(t) and h2(t)b)sum of of h1(t) and h2(t)c)convolution ofh1(t) and h2(t)d)subtraction of h2(t) from h1(t)Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two systems with impulse responsesh1(t) and h2(t) are connected in cascade.Then the overall impulse response of the cascaded system is given bya)a product of h1(t) and h2(t)b)sum of of h1(t) and h2(t)c)convolution ofh1(t) and h2(t)d)subtraction of h2(t) from h1(t)Correct answer is option 'C'. Can you explain this answer?.
Solutions for Two systems with impulse responsesh1(t) and h2(t) are connected in cascade.Then the overall impulse response of the cascaded system is given bya)a product of h1(t) and h2(t)b)sum of of h1(t) and h2(t)c)convolution ofh1(t) and h2(t)d)subtraction of h2(t) from h1(t)Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for GATE.
Download more important topics, notes, lectures and mock test series for GATE Exam by signing up for free.
Here you can find the meaning of Two systems with impulse responsesh1(t) and h2(t) are connected in cascade.Then the overall impulse response of the cascaded system is given bya)a product of h1(t) and h2(t)b)sum of of h1(t) and h2(t)c)convolution ofh1(t) and h2(t)d)subtraction of h2(t) from h1(t)Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Two systems with impulse responsesh1(t) and h2(t) are connected in cascade.Then the overall impulse response of the cascaded system is given bya)a product of h1(t) and h2(t)b)sum of of h1(t) and h2(t)c)convolution ofh1(t) and h2(t)d)subtraction of h2(t) from h1(t)Correct answer is option 'C'. Can you explain this answer?, a detailed solution for Two systems with impulse responsesh1(t) and h2(t) are connected in cascade.Then the overall impulse response of the cascaded system is given bya)a product of h1(t) and h2(t)b)sum of of h1(t) and h2(t)c)convolution ofh1(t) and h2(t)d)subtraction of h2(t) from h1(t)Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of Two systems with impulse responsesh1(t) and h2(t) are connected in cascade.Then the overall impulse response of the cascaded system is given bya)a product of h1(t) and h2(t)b)sum of of h1(t) and h2(t)c)convolution ofh1(t) and h2(t)d)subtraction of h2(t) from h1(t)Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Two systems with impulse responsesh1(t) and h2(t) are connected in cascade.Then the overall impulse response of the cascaded system is given bya)a product of h1(t) and h2(t)b)sum of of h1(t) and h2(t)c)convolution ofh1(t) and h2(t)d)subtraction of h2(t) from h1(t)Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice GATE tests.
|
|
Explore Courses for GATE exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup