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For the successful reconstruction of signals :
- a)Sampling frequency must be equal to the message signal
- b)Sampling frequency must be greater to the message signal
- c)Sampling frequency must be less to the message signal
- d)Sampling frequency must be greater than or equal to the message signal
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
For the successful reconstruction of signals :a)Sampling frequency mus...
Explanation: Reconstruction of signals refers to the conversion of the discrete time signals into continuous tiem signals and for the succesful reconstruction of signals sampling frequency must be greater than or equal to the message signal but ideally it is always preferred to be greater.
Most Upvoted Answer
For the successful reconstruction of signals :a)Sampling frequency mus...
Explanation:
In order to reconstruct a signal from its sampled version, the sampling frequency must be chosen appropriately. The correct option for the successful reconstruction of signals is option 'D', which means the sampling frequency must be greater than or equal to the message signal. This is because of the following reasons:
Sampling Theorem:
The sampling theorem states that a continuous-time signal can be accurately reconstructed from its samples if the sampling frequency is greater than or equal to twice the maximum frequency component of the signal. In other words, the sampling frequency must be higher than the Nyquist rate to avoid aliasing.
Aliasing:
Aliasing occurs when the sampling frequency is lower than the Nyquist rate, causing high-frequency components of the signal to be distorted and shifted to lower frequencies. This can lead to inaccurate reconstruction of the original signal.
Minimum Sampling Frequency:
The minimum sampling frequency required to accurately reconstruct a signal is equal to twice the maximum frequency component of the signal. Therefore, the sampling frequency must be greater than or equal to the message signal to avoid aliasing and accurately reconstruct the original signal.
Conclusion:
In conclusion, the correct option for the successful reconstruction of signals is option 'D', which means the sampling frequency must be greater than or equal to the message signal to avoid aliasing and accurately reconstruct the original signal.
In order to reconstruct a signal from its sampled version, the sampling frequency must be chosen appropriately. The correct option for the successful reconstruction of signals is option 'D', which means the sampling frequency must be greater than or equal to the message signal. This is because of the following reasons:
Sampling Theorem:
The sampling theorem states that a continuous-time signal can be accurately reconstructed from its samples if the sampling frequency is greater than or equal to twice the maximum frequency component of the signal. In other words, the sampling frequency must be higher than the Nyquist rate to avoid aliasing.
Aliasing:
Aliasing occurs when the sampling frequency is lower than the Nyquist rate, causing high-frequency components of the signal to be distorted and shifted to lower frequencies. This can lead to inaccurate reconstruction of the original signal.
Minimum Sampling Frequency:
The minimum sampling frequency required to accurately reconstruct a signal is equal to twice the maximum frequency component of the signal. Therefore, the sampling frequency must be greater than or equal to the message signal to avoid aliasing and accurately reconstruct the original signal.
Conclusion:
In conclusion, the correct option for the successful reconstruction of signals is option 'D', which means the sampling frequency must be greater than or equal to the message signal to avoid aliasing and accurately reconstruct the original signal.
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