### ASA 124th Meeting New Orleans 1992 October

## 1pEA15. An algorithm for synthesis of low-peak-factor periodic functions.

**Logan E. Hargrove
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*Phys. Div., Code 1112, Office of Naval Res., Arlington, VA 22217-5000
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Dept. of Mater. Sci. and Eng., Johns Hopkins Univ., Baltimore, MD 21218
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Peak factor (PF) is the ratio of the range to the rms value of a periodic
function. A low PF is desirable in applications such as radar, sonar,
communications techniques, and the design of test signals. The PF of a
frequency-modulated (fm) periodic function is low because the peak-to-peak
amplitude remains fixed and the rms value changes very little for all values of
the modulation index. But in some applications an ``fm-like'' function is
undesirable, and for many applications a low PF periodic function consisting of
a specified number of equal-amplitude and harmonically related frequency
components is sought. Here, results from an algorithm that uses phases of some
spectral components of a frequency-modulated sinusoid to construct low PF
functions with M harmonically related and equal-amplitude components are
presented for the range 1(less than or equal to)M(less than or equal to)101.
These functions are less fm-like than frequency-truncated fm functions. [Work
performed in the ONR Scientific Officer Research Program.]