An antenna arrangement (101, 400) configured for digital beam-forming of a transmit signal, the antenna arrangement (101, 400) comprising; - a number N>1 of digital to analog converters, DACs, (404a-404d), each of the N DACs being arranged to receive one respective digital transmit signal component (TX i, i=1,2,..., N), and to convert and output an analog transmit signal component (TXa i, i=1,2,..., N), each of the N DACs having a respective resolution; - N antenna elements (412a-412d), each of the N antenna elements being configured to receive one respective analog transmit signal component (TXa i, i=1,2,..., N) and to transmit the analog transmit signal component as part of the digitally beam-formed transmit signal; and wherein the antenna arrangement is characterized by comprising - a de-correlator arranged to receive N correlated digital transmit signal components (TX' i, i=1,2,..., N), to de-correlate quantization errors in the N correlated digital transmit signal components, and to output N digital transmit signal components (TX i, i=1,2,..., N) to the respective N DACs (404a-404d), wherein the de-correlator comprises N dithering units (702a-702d), each of the N dithering units being configured to receive a respective correlated digital transmit signal component (TX' i), to add a dithering sequence (d i) to the received correlated digital transmit signal component, and to output a digital transmit signal component (TX i) based on the added dithering sequence (d i) and the received correlated digital transmit signal component (TX' i) to a respective DAC (404a-404d), wherein one or more of the respective dithering sequences (d i, i=1,2,...,N) comprises a dithering sequence independent from one or more other dithering sequences of the de-correlator, at least part of the dithering sequences (d i, i=1,2,...,N) thus being statistically independent of each other. - a number N>1 of digital to analog converters, DACs, (404a-404d), each of the N DACs being arranged to receive one respective digital transmit signal component (TX i, i=1,2,..., N), and to convert and output an analog transmit signal component (TXa i, i=1,2,..., N), each of the N DACs having a respective resolution; - N antenna elements (412a-412d), each of the N antenna elements being configured to receive one respective analog transmit signal component (TXa i, i=1,2,..., N) and to transmit the analog transmit signal component as part of the digitally beam-formed transmit signal; and - a de-correlator arranged to receive N correlated digital transmit signal components (TX' i, i=1,2,..., N), to de-correlate quantization errors in the N correlated digital transmit signal components, and to output N digital transmit signal components (TX i, i=1,2,..., N) to the respective N DACs (404a-404d), wherein the de-correlator comprises N dithering units (702a-702d), each of the N dithering units being configured to receive a respective correlated digital transmit signal component (TX' i), to add a dithering sequence (d i) to the received correlated digital transmit signal component, and to output a digital transmit signal component (TX i) based on the added dithering sequence (d i) and the received correlated digital transmit signal component (TX' i) to a respective DAC (404a-404d), wherein one or more of the respective dithering sequences (d i, i=1,2,...,N) comprises a dithering sequence independent from one or more other dithering sequences of the de-correlator, at least part of the dithering sequences (d i, i=1,2,...,N) thus being statistically independent of each other.