Abstract This thesis describes the development of a high precision time-to-digital converter (TDC) in which the conversion is based on a counter and three-stage stabilised delay line interpolation developed in this work. The biggest design challenges in the design of a TDC are related to the fact that the arrival moment of the hit signals (start and stop) is unknown and asynchronous with respect to the reference clock edges. Yet, the time interval measurement system must provide an immediate and unambiguous measurement result over the full dynamic range. It must be made sure that the readings from the counter and the interpolators are always consistent with very high probability. Therefore, the operation of the counter is controlled with a synchronising logic that is in turn controlled with the interpolation result. Another synchronising logic makes it possible to synchronise the timing signals with multiphase time-interleaved clock signals as if the synchronising was done with a GHz-level clock, and enables multi-stage interpolation. Multi-stage interpolation reduces the number of delay cells and registers needed. The delay line interpolators are stabilised with nested delay-locked loops, which leads to good stability and makes it possible to improve single-shot precision with a single look-up table containing the integral nonlinearities of the interpolators measured at the room temperature. A multi-channel prototype TDC was fabricated in a 0.6 μm digital CMOS process. The prototype reaches state-of-the-art rms single-shot precision of better than 20 ps and low power consumption of 50 mW as an integrated TDC.

In astronomy, interferometry by ground-based telescopes offers the greatest angular resolution. However, the Earth´s atmosphere distorts the incident wavefront from a celestial object, leading to blurring and signal loss. It also restricts the transmission of specific wavelengths within the electromagnetic spectrum. Space-based interferometers would mitigate atmospheric obstruction and potentially enable even higher angular resolutions. The main challenge of implementing space-based interferometry is the necessity of matching the light´s optical path differences at the telescopes within the coherence length of the light utilizing physical delay lines. This thesis explores the potential realization of digital delay lines via heterodyne interferometry. The technique generates a heterodyne beat note at the frequency difference between the incident stellar light and a reference laser in the radio regime, permitting digitization of the delay line while preserving the phase information for image reconstruction. The primary objective of the thesis is to advance the field of astronomy by constructing a testbed environment for investigating future space-based heterodyne interferometry in the NIR light range. It requires the achievement of two main tasks. Firstly, a laboratory starlight simulator is developed to simulate a distant star´s wavefront appearance as it reaches telescopes on or around Earth. The consequent starlight simulator contains an optical assembly that manifests a point source in NIR light, aligned with a mirror collimator’s focal point, transforming the wavefront from spherical to planar. Secondly, a fiber optical circuit with interference capability is constructed, consisting of a free-space optical delay line and a polarization-controlled custom-sized fiber. The delay line matches the optical paths within the light's coherence length, while the polarization controller optimizes interference visibility. The completion of the tasks establishes the foundation to investigate space-based heterodyne interferometry in the NIR light with the potential implementation of delay line digitization.