Consider a phased array ultrasound system operating at 2 MHz and capable of B-mode and M...

Consider a phased array ultrasound system operating at 2 MHz and capable of B-mode and M-mode imaging that is located on the starship Prometheus. We are examining a fetus in utero (in the uterus of a living woman), which is suspected to be an alien.

(a)Calculate the depth of penetration that can be acheived with an 80 dB

(b) What is the maximum frame rate acheivable, for a 256 × 256 B-mode image? Assume a speed of sound c = 1, 480 m/s.

(c) We notice a quickly moving fetal heart, located at a depth of z = 10 cm and lateral position x = 5 cm. We wish to focus the pulse at this location. Assume we have 129 transducer elements, where the

(d) An M-mode image is produced from the signal focused on the heart. Calculate maximum the pulse repetition rate for this image. Alien hearts oscillate like a sine wave with frequency 500 beats per minute.

Is our M-mode frame rate high enough to sample this periodic signal without introducing aliasing? How about our B-mode frame rate? Explain.