Applications of the Homomorphic Transformation to Time Domain Measurement Problems,

摘要

The report presents a study of the theory and application of the homomorphic transformation to deconvolution problems occurring in time domain measurements in the picosecond time domain. A homomorphic deconvolution transform was developed and applied successfully to remove the time-windowing restriction required in many time domain measurements. Examples were presented including problems in time domain analysis of linear networks and dielectric spectroscopy,and scattering and multiple reflection in antenna (radiation) systems were considered and treated. Also considered was the development of a model for a 28picosecond resolution feed through sampling-head,and the model's step response was computed. Simulation studies were performed using typical input waveforms and the oscilloscope model. The homomorphic transformation was used to deconvolve the model's impulse response from the simulated output. Comparison of the deconvolved output waveforms with the input waveforms showed agreement within the accuracy of the sampled-data simulation.