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Determine the impulse response of the inverse system, if the impulse response of the system is u(n).
- a)u(-n-1)
- b)u(n) - u(n-1)
- c)u(-n)
- d)δ(n) - δ(n-1)
Correct answer is option 'D'. Can you explain this answer?
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To determine the impulse response of the inverse system, we can use the property that the inverse system has an impulse response that is the inverse of the original system's impulse response.
a) The impulse response of the original system is u(n). The inverse of u(n) is 1/u(n), but since u(n) takes on the values of either 0 or 1, we can simplify this to u(n)/u(n) = 1. Therefore, the impulse response of the inverse system is 1.
b) The impulse response of the original system is u(n) - u(n-1). The inverse of this can be found by taking the inverse of each term individually. The inverse of u(n) is 1/u(n), and the inverse of u(n-1) is 1/u(n-1). Therefore, the impulse response of the inverse system is 1/u(n) - 1/u(n-1).
c) The impulse response of the original system is u(-n). The inverse of u(-n) is -u(-n), where -u(-n) represents the negation of u(-n). Therefore, the impulse response of the inverse system is -u(-n).
d) The impulse response of the original system is not provided, so we cannot determine the impulse response of the inverse system.
a) The impulse response of the original system is u(n). The inverse of u(n) is 1/u(n), but since u(n) takes on the values of either 0 or 1, we can simplify this to u(n)/u(n) = 1. Therefore, the impulse response of the inverse system is 1.
b) The impulse response of the original system is u(n) - u(n-1). The inverse of this can be found by taking the inverse of each term individually. The inverse of u(n) is 1/u(n), and the inverse of u(n-1) is 1/u(n-1). Therefore, the impulse response of the inverse system is 1/u(n) - 1/u(n-1).
c) The impulse response of the original system is u(-n). The inverse of u(-n) is -u(-n), where -u(-n) represents the negation of u(-n). Therefore, the impulse response of the inverse system is -u(-n).
d) The impulse response of the original system is not provided, so we cannot determine the impulse response of the inverse system.
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Determine the impulse response ofthe inverse system, if the impulseresponse of the system is u(n).a)u(-n-1)b)u(n) - u(n-1)c)u(-n)d)δ(n) - δ(n-1)Correct answer is option 'D'. Can you explain this answer? for GATE 2025 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about Determine the impulse response ofthe inverse system, if the impulseresponse of the system is u(n).a)u(-n-1)b)u(n) - u(n-1)c)u(-n)d)δ(n) - δ(n-1)Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for GATE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Determine the impulse response ofthe inverse system, if the impulseresponse of the system is u(n).a)u(-n-1)b)u(n) - u(n-1)c)u(-n)d)δ(n) - δ(n-1)Correct answer is option 'D'. Can you explain this answer?.
Determine the impulse response ofthe inverse system, if the impulseresponse of the system is u(n).a)u(-n-1)b)u(n) - u(n-1)c)u(-n)d)δ(n) - δ(n-1)Correct answer is option 'D'. Can you explain this answer? for GATE 2025 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about Determine the impulse response ofthe inverse system, if the impulseresponse of the system is u(n).a)u(-n-1)b)u(n) - u(n-1)c)u(-n)d)δ(n) - δ(n-1)Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for GATE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Determine the impulse response ofthe inverse system, if the impulseresponse of the system is u(n).a)u(-n-1)b)u(n) - u(n-1)c)u(-n)d)δ(n) - δ(n-1)Correct answer is option 'D'. Can you explain this answer?.
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