An Analysis of the Partial Randomization Dynamic Element Matching Technique

Partial randomization dynamic element matching (DEM) was recently introduced as a promising DEM technique for low harmonic distortion digital-to-analog conversion. The DEM technique is well suited for applications such as direct digital synthesis in wireless communication systems for which low hardware complexity is essential in addition to low harmonic distortion. Previously reported simulation results demonstrate that partial randomization DEM greatly attenuates harmonic distortion resulting from static errors in the analog output levels of the DAC, while offering considerable savings in hardware compared to other DEM techniques. This paper presents the first quantitative performance analysis of partial randomization DEM. As a main result, the minimum spurious-free dynamic range provided by the digital-to-analog converter has been quantified as a function of its hardware complexity and the analog output level errors.