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Multifrequency complementary phase-coded radar signal

Nadav Levanon

Open publisher page 249 citations

Abstract

A multifrequency radar signal is considered. It uses M subcarriers simultaneously. The subcarriers are phase modulated by M different sequences that constitute a complementary set. Such a set can be constructed, for example, from the M cyclic shifts of a perfect phase-coded sequence of length M (e.g. P4). The subcarriers are separated by the inverse of the duration of a phase element tb , yielding orthogonal frequency division multiplexing (OFDM), well known in communications. A single pulse of such a signal exhibits a thumbtack ambiguity function with delay resolution of tb/M. The power spectrum is relatively flat, with width of M/tb . The signal can be constructed by power combining M fixed-amplitude signals. The resulting signal, however, is of variable amplitude. The peak-to-mean envelope power ratio can be maintained below 2. A train of complementary pulses and a weight function along the frequency axis are useful for further sidelobe reduction.

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A multifrequency radar signal is considered. It uses M subcarriers simultaneously. The subcarriers are phase modulated by M different sequences that constitute a complementary set. Such a set can be constructed, for example, from the M cyclic shifts of a perfect phase-coded sequence of length M (e.g. P4). The subcarriers are separated by the inverse of the duration of a phase element tb , yielding orthogonal frequency division multiplexing (OFDM), well known in communications. A single pulse of such a signal exhibits a thumbtack ambiguity function with delay resolution of tb/M. The power spectrum is relatively flat, with width of M/tb . The signal can be constructed by power combining M fixed-amplitude signals. The resulting signal, however, is of variable amplitude. The peak-to-mean envelope power ratio can be maintained below 2. A train of complementary pulses and a weight function along the frequency axis are useful for further sidelobe reduction.

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Available abstract

A multifrequency radar signal is considered. It uses M subcarriers simultaneously. The subcarriers are phase modulated by M different sequences that constitute a complementary set. Such a set can be constructed, for example, from the M cyclic shifts of a perfect phase-coded sequence of length M (e.g. P4). The subcarriers are separated by the inverse of the duration of a phase element tb , yielding orthogonal frequency division multiplexing (OFDM), well known in communications. A single pulse of such a signal exhibits a thumbtack ambiguity function with delay resolution of tb/M. The power spectrum is relatively flat, with width of M/tb . The signal can be constructed by power combining M fixed-amplitude signals. The resulting signal, however, is of variable amplitude. The peak-to-mean envelope power ratio can be maintained below 2. A train of complementary pulses and a weight function along the frequency axis are useful for further sidelobe reduction.

Key concepts: Ambiguity function, SIGNAL (programming language), Amplitude, Orthogonal frequency-division multiplexing, Phase (matter), Envelope (radar), Radar, Mathematics

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