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Q#1 Data Converters GATE EE 2006 MCQ +2 marks -0.66 marks

It is required to design an anti-aliasing filter for an 8 bit ADC.  The filter is a first order RC filter with R = 1W and C = 1F.  The ADC is designed to span a sinusoidal signal with peak to peak amplitude equal to the full range of the ADC.

What is the SNR (in dB) of the ADC? Also find the frequency (in decades) at the filter output at which the filter attenuation just exceeds the SNR of the ADC.

50 dB, 2 decades

50 dB, 2.5 decades

60 dB, 2 decades

60 dB, 2.5 decades

Explanation:

SNR for ADC = 6.02N+1.76dB

For 8 bit ADC

SNR=49.92 dB

Transfer function of RC Filter

At high frequency

Attenuation in dB =  

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