  The success of full-stack full-duplex communication systems depends on how
effectively one can achieve digital self-interference cancellation (SIC).
Towards this end, in this paper, we consider unlimited sensing framework (USF)
enabled full-duplex system. We show that by injecting folding non-linearities
in the sensing pipeline, one can not only suppress self-interference but also
recover the signal of interest (SoI). This approach leads to novel design of
the receiver architecture that is complemented by a modulo-domain channel
estimation method. We then demonstrate the advantages of modulo ADC by
analyzing the relationship between quantization noise, quantization bits, and
dynamic range. Numerical experiments show that the USF enabled receiver
structure can achieve up to 40 dB digital SIC by using as few as 4-bits per
sample. Our method outperforms the previous approach based on adaptive filters
when it comes to SoI reconstruction, detection, and digital SIC performance.
