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The frequency response H (f) of a linear time-invariant system has magnitude as shown in the figure.
Statement I : The system is necessarily a pure delay system for inputs which are bandlimited to - α ≤ f ≤ α.
Statement II : For any wide-sense stationary input process with power spectral density SX(f) , the output power spectral density SY(f) obeys SY(f) = SX(f) for - α ≤ f ≤ α.
Which one of the following combinations is true?
- a)Statement I is incorrect, Statement II is incorrect
- b)Statement I is incorrect, Statement II is correct
- c)Statement I is correct, Statement II is incorrect
- d)Statement I is correct, Statement II is correct
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
The frequency response H (f) of a linear time-invariant system has ma...
Given frequency response is shown below
Let x(t) be the input and y(t) be the output of a purely delay system.
So, y(t ) = x(t- t0 ) where t0 is the time delay.
Taking Fourier transform on both sides we get.
|H(f)| = 1 for all frequencies ……(i)
From the given frequency response it can be concluded that
|H(f)| = 1 for - α ≤ f ≤ α …………(ii)
= 0 otherwise
On comparing (i) and (ii) we can conclude that the given system will not act as a purely delay system.
Thus, statement 1 is incorrect.
The output power spectral density of an L.T.I. system is related to input power spectral density as
SY(f) = |H(f)|2 SX(f)
But |H(f )| = 1 for - α ≤ f ≤ α
SY(f) = (1)2 x SX(f) for - α ≤ f ≤ α
SY(f) = SX(f) for - α ≤ f ≤ α
So, statement 2 is correct.
Hence, the correct option is (B).
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Community Answer
The frequency response H (f) of a linear time-invariant system has ma...
Given frequency response is shown below
Let x(t) be the input and y(t) be the output of a purely delay system.
So, y(t ) = x(t- t0 ) where t0 is the time delay.
Taking Fourier transform on both sides we get.
|H(f)| = 1 for all frequencies ……(i)
From the given frequency response it can be concluded that
|H(f)| = 1 for - α ≤ f ≤ α …………(ii)
= 0 otherwise
On comparing (i) and (ii) we can conclude that the given system will not act as a purely delay system.
Thus, statement 1 is incorrect.
The output power spectral density of an L.T.I. system is related to input power spectral density as
SY(f) = |H(f)|2 SX(f)
But |H(f )| = 1 for - α ≤ f ≤ α
SY(f) = (1)2 x SX(f) for - α ≤ f ≤ α
SY(f) = SX(f) for - α ≤ f ≤ α
So, statement 2 is correct.
Hence, the correct option is (B).
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The frequency response H (f) of a linear time-invariant system has magnitude as shown in the figure.Statement I : The system is necessarily a pure delay system for inputs which are bandlimited to - α ≤ f ≤ α.Statement II : For any wide-sense stationary input process with power spectral density SX(f) , the output power spectral density SY(f) obeys SY(f) = SX(f) for - α ≤ f ≤ α.Which one of the following combinations is true?a)Statement I is incorrect, Statement II is incorrectb)Statement I is incorrect, Statement II is correctc)Statement I is correct, Statement II is incorrectd)Statement I is correct, Statement II is correctCorrect answer is option 'B'. Can you explain this answer?
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The frequency response H (f) of a linear time-invariant system has magnitude as shown in the figure.Statement I : The system is necessarily a pure delay system for inputs which are bandlimited to - α ≤ f ≤ α.Statement II : For any wide-sense stationary input process with power spectral density SX(f) , the output power spectral density SY(f) obeys SY(f) = SX(f) for - α ≤ f ≤ α.Which one of the following combinations is true?a)Statement I is incorrect, Statement II is incorrectb)Statement I is incorrect, Statement II is correctc)Statement I is correct, Statement II is incorrectd)Statement I is correct, Statement II is correctCorrect answer is option 'B'. Can you explain this answer? for Electronics and Communication Engineering (ECE) 2024 is part of Electronics and Communication Engineering (ECE) preparation. The Question and answers have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus. Information about The frequency response H (f) of a linear time-invariant system has magnitude as shown in the figure.Statement I : The system is necessarily a pure delay system for inputs which are bandlimited to - α ≤ f ≤ α.Statement II : For any wide-sense stationary input process with power spectral density SX(f) , the output power spectral density SY(f) obeys SY(f) = SX(f) for - α ≤ f ≤ α.Which one of the following combinations is true?a)Statement I is incorrect, Statement II is incorrectb)Statement I is incorrect, Statement II is correctc)Statement I is correct, Statement II is incorrectd)Statement I is correct, Statement II is correctCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Electronics and Communication Engineering (ECE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The frequency response H (f) of a linear time-invariant system has magnitude as shown in the figure.Statement I : The system is necessarily a pure delay system for inputs which are bandlimited to - α ≤ f ≤ α.Statement II : For any wide-sense stationary input process with power spectral density SX(f) , the output power spectral density SY(f) obeys SY(f) = SX(f) for - α ≤ f ≤ α.Which one of the following combinations is true?a)Statement I is incorrect, Statement II is incorrectb)Statement I is incorrect, Statement II is correctc)Statement I is correct, Statement II is incorrectd)Statement I is correct, Statement II is correctCorrect answer is option 'B'. Can you explain this answer?.
The frequency response H (f) of a linear time-invariant system has magnitude as shown in the figure.Statement I : The system is necessarily a pure delay system for inputs which are bandlimited to - α ≤ f ≤ α.Statement II : For any wide-sense stationary input process with power spectral density SX(f) , the output power spectral density SY(f) obeys SY(f) = SX(f) for - α ≤ f ≤ α.Which one of the following combinations is true?a)Statement I is incorrect, Statement II is incorrectb)Statement I is incorrect, Statement II is correctc)Statement I is correct, Statement II is incorrectd)Statement I is correct, Statement II is correctCorrect answer is option 'B'. Can you explain this answer? for Electronics and Communication Engineering (ECE) 2024 is part of Electronics and Communication Engineering (ECE) preparation. The Question and answers have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus. Information about The frequency response H (f) of a linear time-invariant system has magnitude as shown in the figure.Statement I : The system is necessarily a pure delay system for inputs which are bandlimited to - α ≤ f ≤ α.Statement II : For any wide-sense stationary input process with power spectral density SX(f) , the output power spectral density SY(f) obeys SY(f) = SX(f) for - α ≤ f ≤ α.Which one of the following combinations is true?a)Statement I is incorrect, Statement II is incorrectb)Statement I is incorrect, Statement II is correctc)Statement I is correct, Statement II is incorrectd)Statement I is correct, Statement II is correctCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Electronics and Communication Engineering (ECE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The frequency response H (f) of a linear time-invariant system has magnitude as shown in the figure.Statement I : The system is necessarily a pure delay system for inputs which are bandlimited to - α ≤ f ≤ α.Statement II : For any wide-sense stationary input process with power spectral density SX(f) , the output power spectral density SY(f) obeys SY(f) = SX(f) for - α ≤ f ≤ α.Which one of the following combinations is true?a)Statement I is incorrect, Statement II is incorrectb)Statement I is incorrect, Statement II is correctc)Statement I is correct, Statement II is incorrectd)Statement I is correct, Statement II is correctCorrect answer is option 'B'. Can you explain this answer?.
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Here you can find the meaning of The frequency response H (f) of a linear time-invariant system has magnitude as shown in the figure.Statement I : The system is necessarily a pure delay system for inputs which are bandlimited to - α ≤ f ≤ α.Statement II : For any wide-sense stationary input process with power spectral density SX(f) , the output power spectral density SY(f) obeys SY(f) = SX(f) for - α ≤ f ≤ α.Which one of the following combinations is true?a)Statement I is incorrect, Statement II is incorrectb)Statement I is incorrect, Statement II is correctc)Statement I is correct, Statement II is incorrectd)Statement I is correct, Statement II is correctCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
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ample number of questions to practice The frequency response H (f) of a linear time-invariant system has magnitude as shown in the figure.Statement I : The system is necessarily a pure delay system for inputs which are bandlimited to - α ≤ f ≤ α.Statement II : For any wide-sense stationary input process with power spectral density SX(f) , the output power spectral density SY(f) obeys SY(f) = SX(f) for - α ≤ f ≤ α.Which one of the following combinations is true?a)Statement I is incorrect, Statement II is incorrectb)Statement I is incorrect, Statement II is correctc)Statement I is correct, Statement II is incorrectd)Statement I is correct, Statement II is correctCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice Electronics and Communication Engineering (ECE) tests.
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