A method of transmitting high speed serial data with reduced levels of radiated emissions is disclosed. A transmitting device scrambles data utilizing a pseudo-random number sequence generator. Scrambling the data eliminates transmission of repeated data sequences. The transmitting device similarly scrambles idle pairs of data between data transmissions to eliminate an additional source of repeated data sequences. The scrambled and encoded data is transmitted to a receiving device. The receiving device also includes a pseudo-random number sequence generator. Synchronization of the two pseudo-random number sequence generators occurs by utilizing control characters of the data frame being transmitted. Each of the pseudo-random number sequence generators is configured to generate the same sequence of numbers and is initialized to start with a first number in the sequence of numbers corresponding to the first byte of data being transmitted or received.