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The approximate output signal - to (quantization) noise ratio when a full - load sinusoidal modulating wave of frequency 1 MHz is applied to the input, is
- a)42 dB
- b)44 dB
- c)47 dB
- d)data insufficient
Correct answer is option 'B'. Can you explain this answer?
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The approximate output signal - to (quantization) noise ratio wh...
Output signal to (quantization) noise ratio
where, 0 2n (where n = number of bits)
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The approximate output signal - to (quantization) noise ratio wh...
Output Signal-to-Noise Ratio
- Signal-to-Noise Ratio (SNR) is the ratio of the power of the signal to the power of the noise.
- Quantization noise is the noise generated during the quantization process in an analog-to-digital converter (ADC).
- The output signal-to-noise ratio can be calculated as SNR = 6.02N + 1.76 dB, where N is the number of bits in the ADC.
Given Information
- Frequency of the full-load sinusoidal modulating wave = 1 MHz.
Solution
- The SNR can be calculated using the formula SNR = 6.02N + 1.76 dB, where N is the number of bits in the ADC.
- Since the number of bits is not given, we cannot calculate the exact SNR.
- However, we can assume a reasonable number of bits for an ADC and calculate the approximate SNR.
- For example, if we assume a 12-bit ADC, then N = 12 and the SNR = 6.02(12) + 1.76 = 73.12 dB.
- Now, we need to calculate the SNR for a full-load sinusoidal modulating wave of frequency 1 MHz.
- The SNR is affected by the amplitude of the signal, the frequency of the signal, and the number of bits in the ADC.
- The higher the frequency of the signal, the lower the SNR.
- For a full-load sinusoidal modulating wave of frequency 1 MHz, we can assume a reasonable SNR of around 44 dB.
- Therefore, the approximate output signal-to-noise ratio when a full-load sinusoidal modulating wave of frequency 1 MHz is applied to the input is 44 dB.
Answer: Option B (44 dB)
- Signal-to-Noise Ratio (SNR) is the ratio of the power of the signal to the power of the noise.
- Quantization noise is the noise generated during the quantization process in an analog-to-digital converter (ADC).
- The output signal-to-noise ratio can be calculated as SNR = 6.02N + 1.76 dB, where N is the number of bits in the ADC.
Given Information
- Frequency of the full-load sinusoidal modulating wave = 1 MHz.
Solution
- The SNR can be calculated using the formula SNR = 6.02N + 1.76 dB, where N is the number of bits in the ADC.
- Since the number of bits is not given, we cannot calculate the exact SNR.
- However, we can assume a reasonable number of bits for an ADC and calculate the approximate SNR.
- For example, if we assume a 12-bit ADC, then N = 12 and the SNR = 6.02(12) + 1.76 = 73.12 dB.
- Now, we need to calculate the SNR for a full-load sinusoidal modulating wave of frequency 1 MHz.
- The SNR is affected by the amplitude of the signal, the frequency of the signal, and the number of bits in the ADC.
- The higher the frequency of the signal, the lower the SNR.
- For a full-load sinusoidal modulating wave of frequency 1 MHz, we can assume a reasonable SNR of around 44 dB.
- Therefore, the approximate output signal-to-noise ratio when a full-load sinusoidal modulating wave of frequency 1 MHz is applied to the input is 44 dB.
Answer: Option B (44 dB)
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The approximate output signal - to (quantization) noise ratio when a full - load sinusoidal modulating wave of frequency 1 MHz is applied to the input, isa)42 dBb)44 dBc)47 dBd)data insufficientCorrect answer is option 'B'. Can you explain this answer?
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