Schematic representation of solvable chaotic oscillator used in the acoustic ranging experimental system.
Basis functions P(t) (blue) and (red) for the solvable chaotic oscillator model with .
Transmitter for acoustic ranging system incorporating the solvable chaotic oscillator and a shift register for storing symbols that define the reference waveform.
Simulated transmitter waveforms, including the derived clock and trigger signals. Arrows point to dots on the switching waveform to indicate the most recent eleven symbols stored in the shift register when disabled.
Acoustic correlation receiver that realizes a matched filter for the solvable oscillator. The spacing of the microphones in the array is set to obtain the unit time delay specified in the matched filter equations.
Acoustic ranging system using solvable chaotic oscillator demonstrated in an anechoic test chamber.
Measured (a) amplitude and (b) phase response of the speaker-microphone channel. The linear increase of the phase due to propagation has been subtracted out.
Experimental acoustic detection and ranging observed in the receiver output using 64 averaged matched filter output signals for the source speaker positioned (a) 92 cm, (b) 75 cm, and (c) 54 cm in front of the microphone array.
Experimental acoustic detection and ranging observed in the receiver output using 64 averaged matched filter output signals for the source speaker positioned at a range of 92 cm in front of the microphone array with (a) no other sources present, (b) approximately white noise with −10 dB signal-to-noise ratio, and (c) a second chaotic emitter with −10 dB signal-to-interference ratio.
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