An all-digital voltage-controlled oscillator (VCO)-based second-order multi-stage noise-shaping (MASH) ΔΣ time-to-digital converter (TDC) is presented in this paper. The prototype of the proposed TDC was implemented on an Altera Stratix IV FPGA board. In order to improve the performance over conventional TDCs, a multirating technique is employed in this work in which higher sampling rate is used for higher stages. Experimental results show that the multirating technique had a significant influence on improving signal-to-noise ratio (SNR), from 43.09 dB without multirating to 61.02 dB with multirating technique (a gain of 17.93 dB) by quadrupling the sampling rate of the second stage. As the proposed design works in the time-domain and does not consist of any loop and calibration block, no time-to-voltage conversion is needed which results in low complexity and power consumption. A built-in oscillator and phase-locked loops (PLLs) of the FPGA board are utilized to generate sampling clocks at different frequencies. Therefore, no external clock needs to be applied to the proposed TDC. Two cases with different sampling rates were examined by the proposed design to demonstrate the capability of the technique. It can be implied that, by employing multirating technique and increasing sampling frequency, higher SNR can be achieved.

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This paper describes FPGA implementation of a high-order continuous-time multi-stage noiseshaping (MASH) ΔΣ time-to-digital converter (TDC). The TDC is based on Gated Switched-Ring Oscillator (GSRO) and employs multirating technique to achieve improved performance over conventional ΔΣ TDCs. The proposed TDC has been implemented on an Altera Stratix IV FPGA development board. Dynamic and static tests were performed on the proposed design and experimental results demonstrate that it can perform its function without the need of calibration. The built-in clock circuitries of the FPGA board provides sampling clocks and operating frequencies of the GSROs. This work presents a 52 fsrms, 89.7 dB dynamic range and 0.18 ps time-resolution at 200 MHz, 800 MHz, 1600 MHz sampling rate at the first, second and third stage, respectively, which demonstrate that the proposed third-order TDC can play an important role in applications such as ADPLLs and range finders in which accuracy and speed are vital.

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