Hadamard Aperiodic Interval Codes for Parallel-Transmission 2D and 3D Synthetic Aperture Ultrasound Imaging

We present a new set of near orthogonal codes which we call Hadamard Aperiodic Interval (HAPI) and demonstrate their utility for parallel multi-transmitter synthetic aperture imaging. The are tri-state sparse. Locations non-zero bits based on marks in sequence aperiodic intervals, also known as Golomb ruler. values selected from sequences that mutually orthogonal. This ensures cross-correlation sidelobe magnitudes between differing bounded by unity while the autocorrelation approaches delta function with mainlobe-to-sidelobe levels scaling number bits. use simulations to potential A multiplicity transmitter elements is used transmit simultaneously, different code each element. Echo signals received transducer parallel. Channel data receiver element cross-correlated respective HAPI estimate transmit–receive signature associated transmitter–receiver pair minimizing crosstalk. full dataset then form high-quality images demonstrating image quality signal-to-noise ratio improvements over multiple flash angle imaging methods linear arrays. simulated volume random sparse arrays, possible one extended code-set event.