主权项 |
1. A method of analyzing signals from a target, comprising:
accepting, by a filter, an analog input signal from the target, the analog input signal comprising a sequence of pulses, at unknown time positions; filtering the analog input signal, by the filter, so as to produce a filter output having a form such that applying a spectral analysis method to samples of the filter output or to Fourier coefficients of the samples, provides respective amplitudes and time positions of the pulses in the sequence, wherein the filter has a time-domain response confined to a finite time period and has a frequency-domain response which is non-zero at a finite plurality of integer multiples of a frequency shift Δω, and is zero at all other integer multiples of Δω; sampling the filter output, by a sampler, so as to produce digital samples; calculating, by a processor, respective amplitudes and time positions of the pulses in the sequence based on the digital samples; and determining information on the target, responsive to the calculated amplitudes and time positions of the pulses, wherein the frequency-domain response of the filter is representable as a finite sum of multiple frequency-shifted replicas of a filtering function, wherein the filtering function is zero at all the integer multiples n·Δω of the frequency shift Δω, except n=0. |