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What is the SNR of an ideal 10 bit ADC ?
- a)81.96 dB
- b)51.96 dB
- c)61.96 dB
- d)71.96 dB
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
What is the SNR of an ideal 10 bit ADC ?a)81.96 dBb)51.96 dBc)61.96 dB...
Concept:
- SNR (Signal-to-Noise Ratio) of an ADC (Analog-to-Digital Converter) is a measure of the quality of the ADC's output signal.
- It represents the ratio of the amplitude of the input signal to the amplitude of the noise present in the output signal. In other words, it is a measure of how much the signal level exceeds the noise level in the output of the ADC.
- SNR is a calculated value that represents the ratio of RMS signal to RMS noise.
- If we multiply the log10 of this ratio by 20 to derive SNR in decibels.
- An ADC’s ideal SNR equals 6.02N + 1.76 dB, where N is the number of bits.
Calculation:
SNR of an 10 bit ADC = 6.02 × 10 + 1.76 =61.96 dB
Hence the correct answer is option 3.
SNR of an 10 bit ADC = 6.02 × 10 + 1.76 =61.96 dB
Hence the correct answer is option 3.
Most Upvoted Answer
What is the SNR of an ideal 10 bit ADC ?a)81.96 dBb)51.96 dBc)61.96 dB...
Understanding SNR in an Ideal 10-bit ADC
The Signal-to-Noise Ratio (SNR) for an ideal Analog-to-Digital Converter (ADC) can be calculated using a specific formula that relates the number of bits to the SNR in decibels (dB). For an N-bit ADC, the formula is:
SNR(dB) = 6.02 * N + 1.76
Calculation for a 10-bit ADC
- N (Number of bits) = 10
- Plugging into the formula:
SNR(dB) = 6.02 * 10 + 1.76
SNR(dB) = 60.2 + 1.76
SNR(dB) = 61.96 dB
Thus, the SNR for an ideal 10-bit ADC is 61.96 dB.
Why SNR Matters
- Performance Indicator: SNR indicates how much the signal stands out from the background noise, which is crucial for determining the performance of ADCs in applications like audio and video processing.
- Higher Bits = Better SNR: As the number of bits increases, the SNR improves, allowing for a more accurate representation of the analog signal.
Conclusion
In summary, the SNR of an ideal 10-bit ADC is calculated to be 61.96 dB. This value showcases the relationship between the resolution of the ADC and its ability to accurately convert analog signals into digital form without significant noise interference. Therefore, the correct answer is indeed option 'C'.
The Signal-to-Noise Ratio (SNR) for an ideal Analog-to-Digital Converter (ADC) can be calculated using a specific formula that relates the number of bits to the SNR in decibels (dB). For an N-bit ADC, the formula is:
SNR(dB) = 6.02 * N + 1.76
Calculation for a 10-bit ADC
- N (Number of bits) = 10
- Plugging into the formula:
SNR(dB) = 6.02 * 10 + 1.76
SNR(dB) = 60.2 + 1.76
SNR(dB) = 61.96 dB
Thus, the SNR for an ideal 10-bit ADC is 61.96 dB.
Why SNR Matters
- Performance Indicator: SNR indicates how much the signal stands out from the background noise, which is crucial for determining the performance of ADCs in applications like audio and video processing.
- Higher Bits = Better SNR: As the number of bits increases, the SNR improves, allowing for a more accurate representation of the analog signal.
Conclusion
In summary, the SNR of an ideal 10-bit ADC is calculated to be 61.96 dB. This value showcases the relationship between the resolution of the ADC and its ability to accurately convert analog signals into digital form without significant noise interference. Therefore, the correct answer is indeed option 'C'.
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