Jittered random sampling with a successive approximation ADC

This paper proposes a randomly jittered temporal sampling scheme with a successive approximation register (SAR) ADC. The sampling time points are jittered around a uniform sampling clock. A control logic is implemented on a traditional SAR ADC to force it to terminate the sample conversion before reaching the full precision at the jittered time points. As a result, variable word length data samples are produced by the SAR converter. Based on a discrete jittered random sampling theory, this paper analyzes the impact of the random jitters and the resulting randomized quantization noise for a class of sparse or compressible signals. A reconstruction algorithm called Successive Sine Matching Pursuit (SSMP) is proposed to recover spectrally sparse signals when sampled by the proposed SAR ADC at a sub-Nyquist rate.