In a wireless keyboard-video-mouse ("KVM") system in which a remote computer accesses the video output data of a target computer, a method of providing video data from the target computer to the remote computer, includes obtaining an analog video signal from a target computer; disabling data compression of the video signal; determining a first phase (P) for analog-to-digital (A/D) conversion of the video signal; beginning compression of the video signal; and adjusting the first phase of the A/D conversion to produced a second phase (P'), based, at least in part, on a number of segments required to transmit the compressed video signal.