Second order compensation scheme for Haven's technique to annul amplitude and phase mismatch for quadrature circuits

摘要

This paper, elucidates a second order Haven's technique for generation of a pair of sinusoids in perfect quadrature phase. The effects of input amplitude mismatch on output phase mismatch and vice versa have been expounded. The proposed second order Haven's Technique essentially estimates and corrects the amplitude and phase mismatches. This method aids in correcting amplitude and phase mismatch of any arbitrary magnitude. The developed technique is valid for mismatches occurring in both narrow band as well as wideband. Separate closed form expressions for compensation of both input amplitude and input phase mismatches have been derived. This study facilitates to determine the magnitude of phase angle error for a given amplitude mismatch and vice versa. Error plots for Haven's technique have been generated and analysed. It is depicted that for every 1% of amplitude mismatch the phase mismatch increases by 0.6 degrees. The developed technique is modelled and simulated using available EDA tool for narrow band as well as wideband signals. The simulation results of the proposed technique confirm that for both narrow band and wideband signals, the input amplitude as well as phase mismatches are annulled completely. The developed Haven's technique can find potential utility in implementation of Image Reject Mixer Architectures and Quadrature Oscillators for generation of quadrature waveforms.