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Hardware reduction in MASH Sigma Delta modulator

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NikosTS

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I am trying to design a 3rd order SD modulator ( MASH 1-1-1 topology ), but with reduced hardware. That means, that only the first accumulator will have full length ( N ) and the other two accumulators will have reduced lengths ( L < M < N ).

According to the literature, in order to get the maximum sequence length, we set the LSB of the input to "1". This results to the input being odd always ( and sequence 2^N for first-order modulator is guaranteed).
But what if we need an even input? We still have to set the LSB to "1"? And if that's the case, does that mean that i will only get an estimation of my desired fractional word?

Thank you in advance,
Nikos
 

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