A communication system comprising one or more wireless terminal apparatuses and a base station apparatus that is configured to perform a wireless communication with the one or more wireless terminal apparatuses, wherein in a transmission beamforming training interval in which beamforming training of a transmission beam is performed, the base station apparatus is configured to transmit to the wireless terminal apparatus a plurality of first training frames (61A to 61E) while sequentially switching a plurality of first transmission beam patterns, the one or more wireless terminal apparatuses are configured to perform an operation including: receiving the plurality of first training frames (61A to 61E) using a particular beam pattern, measuring first reception quality of the received plurality of first training frames (61A to 61E), and generating a second feedback frame including the measured first reception quality, and after receiving the plurality of first training frames (61A to 61E) using a particular beam pattern, transmitting, to the base station apparatus, a plurality of second training frames (62A to 62E) while sequentially switching a plurality of second transmission beam patterns, characterized in that the base station apparatus is configured to perform an operation including: receiving the plurality of second training frames (62A to 62E) using a particular beam pattern, measuring second reception quality of the received plurality of second training frames (62A to 62E), and transmitting, to the one or more wireless terminal apparatuses, a first feedback frame including the measured second reception quality, and the one or more wireless terminal apparatuses are configured to perform an operation including: receiving the first feedback frame, selecting a transmission beam pattern based on the second reception quality included in the received first feedback frame, and after selecting the transmission beam pattern, transmitting the generated second feedback frame to the base station apparatus, and the base station apparatus is configured to perform an operation including: receiving the second feedback frame, and selecting one beam pattern from the plurality of first transmission beam patterns based on the first reception quality included in the second feedback frame. receiving the plurality of first training frames (61A to 61E) using a particular beam pattern, measuring first reception quality of the received plurality of first training frames (61A to 61E), and generating a second feedback frame including the measured first reception quality, and after receiving the plurality of first training frames (61A to 61E) using a particular beam pattern, transmitting, to the base station apparatus, a plurality of second training frames (62A to 62E) while sequentially switching a plurality of second transmission beam patterns, receiving the plurality of second training frames (62A to 62E) using a particular beam pattern, measuring second reception quality of the received plurality of second training frames (62A to 62E), and transmitting, to the one or more wireless terminal apparatuses, a first feedback frame including the measured second reception quality, and receiving the first feedback frame, selecting a transmission beam pattern based on the second reception quality included in the received first feedback frame, and after selecting the transmission beam pattern, transmitting the generated second feedback frame to the base station apparatus, and receiving the second feedback frame, and selecting one beam pattern from the plurality of first transmission beam patterns based on the first reception quality included in the second feedback frame.