One-bit Unlimited Sampling
One-bit Unlimited Sampling
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一位无限采样
DOI：
10.1109/icassp.2019.8683266
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发表时间：
2019
期刊：
影响因子：
--
通讯作者：
F. Krahmer
中科院分区：
文献类型：
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作者：
Olga Graf;Ayush Bhandari;F. Krahmer
传统的模数转换器（adc）在动态范围上受到限制。如果信号超过某个预先设定的阈值，ADC饱和，产生的信号被截断，从而容易产生混叠伪影。ADC设计的最新发展允许克服这一限制：使用模运算，所谓的自复位ADC折叠超过动态范围的幅度。在这种新型adc的背景下，目前正在开发一种新的（无限）采样理论。在本文中，我们通过将模采样与1位Σ∆量化耦合，或者，换句话说，考虑1位无限采样，在这个方向上更进一步。我们表明，我们的方案克服了传统的1位量化器的动态范围限制，如果信号的动态范围大大超过其1位输出的范围，则无法保证恢复。我们提供了一种建设性的恢复算法，用于从1位模样本中获得的带宽有限的信号，并补充了重建误差的界限。
Conventional analog–to–digital converters (ADCs) are limited in dynamic range. If a signal exceeds some prefixed threshold, the ADC saturates and the resulting signal is clipped, thus becoming prone to aliasing artifacts. Recent developments in ADC design allow to overcome this limitation: using modulo operation, the so called self-reset ADCs fold amplitudes which exceed the dynamic range. A new (unlimited) sampling theory is currently being developed in the context of this novel class of ADCs. In this paper, we make a further step in this direction by coupling modulo sampling with one-bit Σ∆ quantization, or, in other words, consider one-bit unlimited sampling. We show that our scheme overcomes the dynamic range limitations of conventional one-bit quantizer, where no recovery guarantees are possible if the signal’s dynamic range substantially exceeds the range of its one-bit output. We provide a constructive recovery algorithm for bandlimited signals from one-bit modulo samples complemented with a bound on the reconstruction error.