相関検出において位相ゆらぎの妨害を最小にする信号波形

概要

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This paper attempts to find optimally phase-fluctuation tolerant waveforms, i. e. , signals such that magnitude of correlator output is relatively insensitive for phase-fluctuation. A correlation process is used by reason of producing a sufficient statistic effect for the detection of an echo in Gaussian noise. But a degradation of correlator output is caused by phase-fluctuation. So, to derive the signal minimizing the degradation, an analysis is made by using techniques of variational calculus, with appropriate constraint condition for making physically realizable waveforms. The derived signal represents such a property that its frequency changes to be inversely proportional to the second power of its envelope, i. e. , that the lower frequency is distributed to get the higher power and vice versa, under the energy and center frequency constraints. This result gives the theoretical derivation for the property that the smaller degradation of the detection is brought as the signal frequency becomes lower, which is qualitatively well understood.
社団法人日本音響学会の論文
1984-05-01