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Delta-sigma A/D conversion is a popular technique used to achieve high resolution data conversion for low to moderate bandwidth applications. It is commonly accepted that the digital circuitry of the A/D converters should perform a linear time-invariant (LTI) filtering on the output of the modulator in order to reconstruct the input signal. However, it...
In this paper, we investigate non-linear methods for reconstruction of oversampled signals from the single-bit delta-sigma (ΔΣ) modulated sequences. We consider the scenario where the output sequence defines the solution space of input signals but not the initial signal estimate. We show that for a sufficiently large oversampling ratio (OSR), any point in the solution space can be taken as a signal...
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