The human wrist radial artery is rich in important physiological and pathological information. The rapid dynamic detection of radial artery can be realized by ultrasonic imaging method. Because of the small amplitude fluctuation and narrow vessel width of the wrist radial artery, it is difficult to detect the vessels by ultrasound. In ultrasonic nondestructive testing system, CORDIC algorithm can realize complex operation only through simple addition, subtraction and shift transformation. It has obvious advantages in high-speed operation, especially suitable for optimizing ultrasonic signal processing algorithm. Based on CORDIC algorithm, this paper proposes a phased array ultrasonic signal processing method for wrist radial artery. The dynamic filtering, orthogonal demodulation and logarithmic compression techniques using CORDIC algorithm are mainly studied. FPGA simulation results show that CORDIC algorithm can realize the rapid reproduction of the wrist radial artery ultrasonic echo signal, which lays the foundation for the next step of the interpretation of the physiological and pathological information on the radial artery.