High-accuracy velocity and range estimation of a moving target using differential zadoff-chu codes

A system for estimating a range of a moving target, the system comprising:

• the target, which is configured to emit a first ultrasound signal T, wherein the first ultrasound signal T is generated based on a first differential Zadoff-Chu sequence x;
• a receiver configured to receive a second ultrasound signal R, which corresponds to the first ultrasound signal T, wherein the second ultrasound signal R includes a second differential Zadoff-Chu sequence y;
• and
• a computing device connected to the receiver and configured to,
• correlate the first ultrasound signal T with the second ultrasound signal R to calculate an initial time of flight estimate {circumflex over (τ)}corr, and
• calculate an initial range estimate {circumflex over (d)}corr by multiplying the initial time of flight estimate {circumflex over (τ)}corr with a speed of sound,
• wherein a differential Zadoff-Chu sequence is different from a Zadoff-Chu sequence.

A system for generating a coded ultrasound signal, the system comprising:

• a target, which is configured to emit a first ultrasound signal T, wherein the first ultrasound signal T is generated based on a first differential Zadoff-Chu sequence x;
• and
• a receiver configured to receive a second ultrasound signal R, which corresponds to the first ultrasound signal T, wherein the second ultrasound signal R includes a second differential Zadoff-Chu sequence y,
• wherein a differential Zadoff-Chu sequence is different from a Zadoff-Chu sequence.