Abstract

A low value of peak factor (PF), the ratio of the range to the rms value of a periodic function, is desirable for radar, sonar, communications, and test signals. A previous paper [L. E. Hargrove, J. Acoust. Soc. Am. 92, 2312 (1992)] described low PF functions constructed from 1≤M≤101 harmonically related and equal-amplitude components with signs derived from spectra components of sinusoidally frequency-modulated sinusoids. In that paper, the flat and bandlimited spectra of the low PF periodic functions consisted of integer multiples n, 1≤n≤M, of a fundamental frequency f1. In the present paper, similar low PF functions consisting of M equal-amplitude components with frequencies which are higher multiples n, 1<p≤n≤(p+M−1), of a frequency f1 are described. A somewhat different set of values for PF obtain for the higher multiple cases. Some comparisons will be made with low PF periodic functions similarly derived from linearly frequency-modulated sinusoids. [Work performed in the ONR Scientific Officer Research Program.]

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