2 research outputs found
A Modulo-Based Architecture for Analog-to-Digital Conversion
Systems that capture and process analog signals must first acquire them
through an analog-to-digital converter. While subsequent digital processing can
remove statistical correlations present in the acquired data, the dynamic range
of the converter is typically scaled to match that of the input analog signal.
The present paper develops an approach for analog-to-digital conversion that
aims at minimizing the number of bits per sample at the output of the
converter. This is attained by reducing the dynamic range of the analog signal
by performing a modulo operation on its amplitude, and then quantizing the
result. While the converter itself is universal and agnostic of the statistics
of the signal, the decoder operation on the output of the quantizer can exploit
the statistical structure in order to unwrap the modulo folding. The
performance of this method is shown to approach information theoretical limits,
as captured by the rate-distortion function, in various settings. An
architecture for modulo analog-to-digital conversion via ring oscillators is
suggested, and its merits are numerically demonstrated