Abstract: A bi-directional data communication system using inverse multiplexers for transmitting and receiving data at high-speeds using regular analog channels. The inverse multiplexer splits a high-speed digital signal into low-speed digital signals that are input to analog modems. The analog modems modulate the low-speed digital signals into low-speed analog signals for transmission over the analog channels to the public switched telephone network. At the remote end, the data carried by the analog channels is reverse inverse multiplexed into a high-speed digital signal by an inverse multiplexer operating in a reverse inverse multiplexing mode.