Abstract
Multiple transmitters and receivers enable ultrasound Doppler velocimetry to resolve the position and velocity vectors of multiple targets.
In this paper, the capability of the system is analized theoreticaly using generalized Ambiguity Function.
Ambiguity and variace bound analysis indicates the desired conditions of array configuration and signal waveforms. The desired transmitted signals are uncorrelated waveforms of no Range-Doppler coupling, and the array configurations depend on the moments and SN ratios of signals.
The performance of the range and angular velocity estimation is measured as Cramér-Rao bounds of estimates for the simple case of 1-D array which satisfies the conditions. The measure is written in terms of array size, moments of transmitted signal waveforms, and SN ratios.
