The invention relates to a first communication device for a wireless communication system (500), the first communication device (100) comprising: a processor (102), a cascade precoder (104) including an outer precoder (106) and an inner precoder (108), and a transceiver (110); wherein the processor (102) is configured to determine the inner precoder (108); wherein the transceiver (110) is configured to transmit a first pilot sequence (P1) to a second communication device (300), the first pilot sequence (P1) being precoded with the determined inner precoder (108) by the processor (102); wherein the transceiver (110) is configured to receive a first channel estimation (CHE1) from the second communication device (300) in response to the transmission of the first pilot sequence (P1); wherein the processor (102) is configured to determine the outer precoder (106) based on the first channel estimation (CHE1); wherein the transceiver (110) is configured to transmit at least one of a data sequence and a pilot sequence to the second communication device (300). Furthermore, the invention also relates to corresponding methods, a wireless communication system, a computer program, and a computer program product.