Patent ID: 8599941

Claim:
A communication system comprising: a transmission device comprising a first processor; a first memory including first computer-readable instructions that, upon execution by the first processor, cause the transmission device to map first data comprising a predetermined number of bits to first symbols in a frequency domain representing a set of a first number of carriers corresponding to the first data, the first number of carriers being less than a second number of carriers used for transmission; control a phase of the first symbols in a frequency domain, wherein the phases of the first symbols is controlled at a boundary of the first symbols; convert the controlled first symbols and a third number of data values into time domain transmission signals; and convert the time domain transmission signals into a time domain transmission signal including a fourth number of data values; and a transmitter configured to transmit the time domain transmission signal to a reception device; and the reception device comprising a receiver configured to receive the transmitted time domain transmission signal from the transmission device; a second processor; and a second memory including second computer-readable instructions that, upon execution by the second processor, cause the reception device to convert the received time domain transmission signal and a fifth number of data values into second samples in the frequency domain including a sixth number of data values that are sum of the fourth number of data values and the fifth number of data values; and decode the first data from the second samples based on a result of a comparison between the second samples and a set of third samples corresponding to the first data.