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as per the nyquist theorem the range of x[n] will be (-16/2)<x[n]<(16/2), i.e., -8<x[n]<8, the bits of quantization is given in the form of 2^n, which is equal to 8, so 2^n=8, i.e., n=3.


Yes, they can be different, depending what your maximum input value is.


The short answer is for any digital signal the frequency spectrum is periodic, repeating at multiples of the sampling rate. The D/A output is the periodic spectrum shaped by a Sinc response due to the staircase (zero-order hold) reconstruction, with the first null of the Sinc at the sampling rate. The intention of the continuous-time lowpass filter is to ...


You're spot on: whereas other frequencies are typically subject to noise that is somewhat benign shaped and result of random processes, DC is usually affected by things like a DC offset. Physically, that happens pretty easily: Say, you've got an ADC with 14 bits of effective number of bits, and it has a differential sensing range of 0 V to 2 V. Then, but 1/...

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