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If the sampling rate Fs satisfies the sampling theorem, then the relation between quantization errors of analog signal(eq(t)) and discrete-time signal(eq(n)) is:
- a)eq(t)=eq(n)
- b)eq(t)<eq(n)
- c)eq(t)>eq(n)
- d)not related
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
If the sampling rate Fs satisfies the sampling theorem, then the relat...
Explanation: If it obeys sampling theorem, then the only error in A/D conversion is quantization error. So, the error is same for both analog and discrete-time signal.
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If the sampling rate Fs satisfies the sampling theorem, then the relat...
Relation between quantization errors of analog signal and discrete-time signal
Quantization errors are errors that occur when an analog signal is converted to a discrete-time signal through quantization. The relation between the quantization errors of the analog signal (eq(t)) and the discrete-time signal (eq(n)) can be explained as follows:
Sampling Theorem
According to the sampling theorem, for accurate reconstruction of a continuous-time signal from its samples, the sampling rate Fs must be greater than or equal to twice the bandwidth of the signal.
Relation between eq(t) and eq(n)
When the sampling rate Fs satisfies the sampling theorem, the quantization errors of the analog signal (eq(t)) and the discrete-time signal (eq(n)) are equal. This is because if the sampling rate is sufficient, the discrete-time signal can accurately represent the analog signal without introducing additional errors.
Therefore, in this scenario, the relationship between eq(t) and eq(n) is:
eq(t) = eq(n)
This means that the quantization errors in the analog signal and the discrete-time signal are the same when the sampling rate meets the requirements of the sampling theorem. It ensures that the discrete-time representation of the analog signal is as close to the original signal as possible, minimizing any discrepancies between the two signals.
Quantization errors are errors that occur when an analog signal is converted to a discrete-time signal through quantization. The relation between the quantization errors of the analog signal (eq(t)) and the discrete-time signal (eq(n)) can be explained as follows:
Sampling Theorem
According to the sampling theorem, for accurate reconstruction of a continuous-time signal from its samples, the sampling rate Fs must be greater than or equal to twice the bandwidth of the signal.
Relation between eq(t) and eq(n)
When the sampling rate Fs satisfies the sampling theorem, the quantization errors of the analog signal (eq(t)) and the discrete-time signal (eq(n)) are equal. This is because if the sampling rate is sufficient, the discrete-time signal can accurately represent the analog signal without introducing additional errors.
Therefore, in this scenario, the relationship between eq(t) and eq(n) is:
eq(t) = eq(n)
This means that the quantization errors in the analog signal and the discrete-time signal are the same when the sampling rate meets the requirements of the sampling theorem. It ensures that the discrete-time representation of the analog signal is as close to the original signal as possible, minimizing any discrepancies between the two signals.
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If the sampling rate Fs satisfies the sampling theorem, then the relation between quantization errors of analog signal(eq(t)) and discrete-time signal(eq(n)) is:a)eq(t)=eq(n)b)eq(t)<eq(n)c)eq(t)>eq(n)d)not relatedCorrect answer is option 'A'. Can you explain this answer?
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If the sampling rate Fs satisfies the sampling theorem, then the relation between quantization errors of analog signal(eq(t)) and discrete-time signal(eq(n)) is:a)eq(t)=eq(n)b)eq(t)<eq(n)c)eq(t)>eq(n)d)not relatedCorrect answer is option 'A'. Can you explain this answer? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about If the sampling rate Fs satisfies the sampling theorem, then the relation between quantization errors of analog signal(eq(t)) and discrete-time signal(eq(n)) is:a)eq(t)=eq(n)b)eq(t)<eq(n)c)eq(t)>eq(n)d)not relatedCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the sampling rate Fs satisfies the sampling theorem, then the relation between quantization errors of analog signal(eq(t)) and discrete-time signal(eq(n)) is:a)eq(t)=eq(n)b)eq(t)<eq(n)c)eq(t)>eq(n)d)not relatedCorrect answer is option 'A'. Can you explain this answer?.
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