Versatile system for dual carrier transformation in orthogonal frequency division multiplexing

An OFDM-based data transmission system comprising:

• a data input;
• a coding function, adapted to receive data from the data input and code the data;
• a dual carrier modulation function, adapted to transform coded data;
• and
• a pre-transmission conversion function, adapted to receive coded data, after transform by dual carrier modulation function, and convert the coded data prior to transmission.

A method of modulating data within an OFDM-based communications system, the method comprising the steps of:

• providing an index separation factor;
• associating a first data element, having a first index value, with a second data element, having a second index value separated from the first index value by the separation factor;
• forming a column vector of having a form of [first data element;
• second data element];
• providing a transformation matrix;
• applying the transformation matrix to the column vector to render a transformed column vector;
• and
• transmitting the transformed column vector at tones corresponding to the first and second index values.