WAVE-FORM OPTIMIZATION FOR PHASE RECONSTRUCTION OF THE IMPULSE-RESPONSE

The phase spectrum is not available for the responses of systems whose output is integrated over time. A temporal deblurring technique has b een described for measurement of the phase spectrum for responses that are based on the integrated output of such systems [Vision Res. 21, 4 09 (1981)]. The problem that remains is to determine the optimal sets of Fourier amplitudes to be used for the phase-reconstruction task. Op timal Fourier amplitudes for determination of the phase of each harmon ic have now been obtained for relevant weighting functions by an analy tic method and by a computation method up to the 20th harmonic. These amplitude sets should permit efficient use of the temporal deblurring paradigm to measure the impulse response of any integrated output syst em that is linear up to the integration stage.