Streamlining UNO: A Generalized Sampling Approach to Optimal One-Bit Modulo Sensing

Abstract

Recently, one-bit modulo sampling, also known as unlimited one-bit (UNO), has been proposed as a bridge between modulo sampling and coarse quantization. This approach successfully combines the benefits of both techniques by providing efficient, low-cost quantization for modulo sampling while also offering a natural method for designing dithers that are uniformly distributed across the signal’s dynamic range (DR). However, the scheme faces challenges due to the need for multiple dithering sequences, which complicates their generation and implementation. In this paper, we address this issue by applying quantization to the discrete cosine transform (DCT) coefficients of the modulo samples rather than to the samples themselves. This allows us to achieve successful signal reconstruction using only a single dithering sequence, as demonstrated through numerical results.