Asynchronous to synchronous sampling using an augmented least squares solver

摘要

A method, comprising: receiving a plurality of 2-tuples of asynchronously sampled inputs at an asynchronous to synchronous reconstructor; performing a coarse asynchronous to synchronous conversion using the plurality of 2-tuples to generate a plurality of low precision synchronous outputs; generating a high precision synchronous output, z₀, using a plurality of asynchronous 2-tuples, low precision synchronous outputs after it, and its own high precision outputs from previous steps; calculating c₀ and c₋₁ by summing future low precision outputs and the past high precision outputs after they are weighted with the appropriate windowed sinc. values and then subtracted from appropriate asynchronous samples; calculating, the four quantities “s₋₁₁”, “s₀₁”, “s₀₀” and “s₋₁₀” based on particular values of the windowed sinc. function; and using c₀, c₋₁, s₋₁₁, s₀₁, s₀₀ and s₋₁₀, the high precision synchronous output of interest, z₀ is generated.