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Modulo Sampling with 1-Bit Side Information: Performance Guarantees in the Presence of Quantization

In this work, we investigate the relationship between the dynamic range and quantization noise power in modulo analog-to-digital converters (ADCs). An algorithm to recover the original signal from quantized modulo observations with 1-bit side information is analyzed. We prove that an oversampling fa...

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Bibliographic Details
Main Authors: Bernardo, Neil Irwin, Shah, Shaik Basheeruddin, Eldar, Yonina C.
Format: Conference Proceeding
Language:English
Subjects:
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Summary:In this work, we investigate the relationship between the dynamic range and quantization noise power in modulo analog-to-digital converters (ADCs). An algorithm to recover the original signal from quantized modulo observations with 1-bit side information is analyzed. We prove that an oversampling factor of OF > 3 and a quantizer resolution of b > 3 are sufficient for the modulo ADC to have better quantization noise suppression than a standard ADC without the modulo operator. Under this setting, the mean squared error (MSE) of a modulo ADC is \mathcal{O}\left(\frac{1}{\text{OF}^{3}}\right) whereas that of a standard ADC is only \mathcal{O}\left(\frac{1}{\text{OF}}\right) . Numerical results are presented to validate the derived performance guarantees.
ISSN:2157-8117
DOI:10.1109/ISIT57864.2024.10619324