Electrical Engineering (EE) Exam > Electrical Engineering (EE) Questions > An LTI system is said to be causal if and onl...
Start Learning for Free
An LTI system is said to be causal if and only if
- a)Impulse response is non-zero for positive values of n
- b)Impulse response is zero for positive values of n
- c)Impulse response is non-zero for negative values of n
- d)Impulse response is zero for negative values of n
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
An LTI system is said to be causal if and only ifa)Impulse response is...
Explanation: Let us consider a LTI system having an output at time n=n0given by the convolution formula
=(h(0)x(n0)+h(1)x(n0-1)+h(2)x(n0-2)+….)+(h(-1)x(n0+1)+h(-2)x(n0+2)+…)
As per the definition of the causality, the output should depend only on the present and past values of the input. So, the coefficients of the terms x(n0+1), x(n0+2)…. should be equal to zero.
that is, h(n)=0 for n<0 .
As per the definition of the causality, the output should depend only on the present and past values of the input. So, the coefficients of the terms x(n0+1), x(n0+2)…. should be equal to zero.
that is, h(n)=0 for n<0 .
Most Upvoted Answer
An LTI system is said to be causal if and only ifa)Impulse response is...
Causal LTI system and Impulse response
A Linear Time-Invariant (LTI) system is said to be causal if the output of the system at any instant of time depends only on the present and past values of the input signal. In other words, the output of a causal system cannot depend on the future values of the input signal.
The impulse response of an LTI system is the response of the system to an impulse input. An impulse input is a signal that has a value of 1 at time t=0 and is zero everywhere else. The impulse response of a system is a very important characteristic of the system, as it provides a complete description of the system's behavior.
Impulse response and causality
The impulse response of a causal LTI system must be zero for negative values of time. This is because the output of the system at any time t depends only on the present and past values of the input signal. If the impulse response is non-zero for negative values of time, it means that the output of the system at time t depends on the future values of the input signal, which violates the definition of a causal system.
Therefore, option D is the correct answer - An LTI system is said to be causal if and only if the impulse response is zero for negative values of n.
Examples of causal and non-causal systems
Examples of causal systems include:
- A low-pass filter that removes high-frequency components from a signal.
- A delay line that introduces a delay between the input and output signals.
Examples of non-causal systems include:
- A filter that predicts the future values of the input signal.
- A system that uses feedback to generate its output signal.
A Linear Time-Invariant (LTI) system is said to be causal if the output of the system at any instant of time depends only on the present and past values of the input signal. In other words, the output of a causal system cannot depend on the future values of the input signal.
The impulse response of an LTI system is the response of the system to an impulse input. An impulse input is a signal that has a value of 1 at time t=0 and is zero everywhere else. The impulse response of a system is a very important characteristic of the system, as it provides a complete description of the system's behavior.
Impulse response and causality
The impulse response of a causal LTI system must be zero for negative values of time. This is because the output of the system at any time t depends only on the present and past values of the input signal. If the impulse response is non-zero for negative values of time, it means that the output of the system at time t depends on the future values of the input signal, which violates the definition of a causal system.
Therefore, option D is the correct answer - An LTI system is said to be causal if and only if the impulse response is zero for negative values of n.
Examples of causal and non-causal systems
Examples of causal systems include:
- A low-pass filter that removes high-frequency components from a signal.
- A delay line that introduces a delay between the input and output signals.
Examples of non-causal systems include:
- A filter that predicts the future values of the input signal.
- A system that uses feedback to generate its output signal.
|
Explore Courses for Electrical Engineering (EE) exam
|
|
Similar Electrical Engineering (EE) Doubts
Top Courses for Electrical Engineering (EE)View all
Question Description
An LTI system is said to be causal if and only ifa)Impulse response is non-zero for positive values of nb)Impulse response is zero for positive values of nc)Impulse response is non-zero for negative values of nd)Impulse response is zero for negative values of nCorrect answer is option 'D'. Can you explain this answer? for Electrical Engineering (EE) 2025 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about An LTI system is said to be causal if and only ifa)Impulse response is non-zero for positive values of nb)Impulse response is zero for positive values of nc)Impulse response is non-zero for negative values of nd)Impulse response is zero for negative values of nCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An LTI system is said to be causal if and only ifa)Impulse response is non-zero for positive values of nb)Impulse response is zero for positive values of nc)Impulse response is non-zero for negative values of nd)Impulse response is zero for negative values of nCorrect answer is option 'D'. Can you explain this answer?.
An LTI system is said to be causal if and only ifa)Impulse response is non-zero for positive values of nb)Impulse response is zero for positive values of nc)Impulse response is non-zero for negative values of nd)Impulse response is zero for negative values of nCorrect answer is option 'D'. Can you explain this answer? for Electrical Engineering (EE) 2025 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about An LTI system is said to be causal if and only ifa)Impulse response is non-zero for positive values of nb)Impulse response is zero for positive values of nc)Impulse response is non-zero for negative values of nd)Impulse response is zero for negative values of nCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An LTI system is said to be causal if and only ifa)Impulse response is non-zero for positive values of nb)Impulse response is zero for positive values of nc)Impulse response is non-zero for negative values of nd)Impulse response is zero for negative values of nCorrect answer is option 'D'. Can you explain this answer?.
Solutions for An LTI system is said to be causal if and only ifa)Impulse response is non-zero for positive values of nb)Impulse response is zero for positive values of nc)Impulse response is non-zero for negative values of nd)Impulse response is zero for negative values of nCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Electrical Engineering (EE).
Download more important topics, notes, lectures and mock test series for Electrical Engineering (EE) Exam by signing up for free.
Here you can find the meaning of An LTI system is said to be causal if and only ifa)Impulse response is non-zero for positive values of nb)Impulse response is zero for positive values of nc)Impulse response is non-zero for negative values of nd)Impulse response is zero for negative values of nCorrect answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
An LTI system is said to be causal if and only ifa)Impulse response is non-zero for positive values of nb)Impulse response is zero for positive values of nc)Impulse response is non-zero for negative values of nd)Impulse response is zero for negative values of nCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for An LTI system is said to be causal if and only ifa)Impulse response is non-zero for positive values of nb)Impulse response is zero for positive values of nc)Impulse response is non-zero for negative values of nd)Impulse response is zero for negative values of nCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of An LTI system is said to be causal if and only ifa)Impulse response is non-zero for positive values of nb)Impulse response is zero for positive values of nc)Impulse response is non-zero for negative values of nd)Impulse response is zero for negative values of nCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice An LTI system is said to be causal if and only ifa)Impulse response is non-zero for positive values of nb)Impulse response is zero for positive values of nc)Impulse response is non-zero for negative values of nd)Impulse response is zero for negative values of nCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice Electrical Engineering (EE) tests.
|
|
Explore Courses for Electrical Engineering (EE) exam
|
|
Signup to solve all Doubts
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!
within 7 days!
Takes less than 10 seconds to signup