A Residual-Remainder Coupled Unlimited Sampling Framework for High Dynamic Range Signal Conversion

Clipping distortion is a common problem when the amplitude of input signals exceeds the desired region of an analog-to-digital converter. Unlimited Sensing Framework (USF) alleviates the clipping distortion by folding out-of-range signals into a within-range via modulo operations. The USF signal recovery assumes an infinitesimal residual step time in the modulo operation which is generally practically infeasible. Its recovery error is inevitable due to the remainder sampling error during the residual step transition time. Instead of the infinitesimal assumption, a residual-remainder coupled USF is proposed to eliminate the remainder sampling error by coupling the residual sampling component. It is shown that the proposed coupling framework does not only relax the oversampling rate in the original USF to approaching the Nyquist sampling rate, but also provides a more accurate signal recovery capability as the remainder sampling error is eliminated by the coupling of the residual components.