A Unified Solution for Super-Regenerative Systems With Application to Correlator-Based UWB Transceivers

The conventional theory of super regenerative systems (SRS) has been divided into distinct modes of operation and limiting assumptions. These assumptions make the analysis of these systems inaccurate for wide bandwidth applications. In this paper, a novel theory based on the analysis of time varying systems using Magnus expansion is proposed which unifies all modes of operation and formulates the system response with high accuracy for a wide range of practical applications. Therefore, the theory can be used for the design of systems with wider bandwidth and higher data rates. Using the proposed theory, it is possible to analytically describe the effects of the parasitic elements and inter symbol interference as well as different parameters of the output signal such as instantaneous phase and amplitude. The proposed method is utilized for the design of a UWB pulse transmitter. Moreover, a new super regenerative structure is proposed which operates as a receiver. The accuracy of the proposed model is verified by various simulations and comparisons with the conventional model. Simulations show that the accuracy improved more than 10 times that models systems with quality factor as low as Q=1 with acceptable precision.