Question

A 10-bit analog-to-digital converter (ADC) has a sampling frequency of 1 MHz and a full scale voltage of 3.3 V. For an input sinusoidal signal with frequency 500 kHz, the maximum SNR (in dB, rounded off to two decimal places) and the data rate (in Mbps) at the output of the ADC are _________, respectively.

• A. 61.96 and 10
• B. 61.96 and 5
• C. 33.36 and 10
• D. 33.36 and 5

Hint:

The SNR for an ADC can be calculated using the formula \( {SNR (dB)} = 6.02 \cdot N + 1.76 \), where \( N \) is the number of bits. For the data rate, multiply the sampling frequency by the number of bits.

Answer 1

The Correct Option is A

SNR Calculation. The maximum SNR for an ADC is given by the formula: \[ {SNR (dB)} = 6.02 \cdot N + 1.76, \] where \( N \) is the number of bits. For a 10-bit ADC: \[ {SNR} = 6.02 \cdot 10 + 1.76 = 61.96 \, {dB}. \] Step 2: Data Rate Calculation. The data rate of the ADC is given by: \[ {Data Rate} = {Sampling Frequency} \times {Number of Bits}. \] Given the sampling frequency is 1 MHz and the ADC has 10 bits: \[ {Data Rate} = 1 \, {MHz} \times 10 = 10 \, {Mbps}. \] Thus, the correct answer is (A).