1. Assume a Sigma-Delta ADC has a sampling rate of 1MHz. The interested signal band is from 0 to 8kHz. a. What value of R and C in an RC anti-aliasing filter should be used to assure that the signal distortion within the interested band has less than -80dB. b. Suppose there is a white noise presence between 0 to 1MHz with magnitude of 10uV RMS. With your RC filter, what kind of extra noise level will be seen by the ADC due to the aliasing effect? 2 . Suppose a signal is sampled at the sampling rate Fs. Now you want to resample it at half the rate 1/2Fs. From the lecture, one needs to insert a low pass filter with cut off frequency at ¼Fs and beyond before the down sampling. This combined process is called decimation. Please explain why the low pass filter is needed.
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