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A method of transmitting data via a unipolar signal comprises allocating a symbol to one or more signals among a plurality of signals, applying pulse shaping to the plurality of signals to obtain a plurality of filtered signals, wherein the filtered signals are orthogonal signals, and transmitting the sum of the filtered signals as a unipolar signal, wherein the transmitted signal is a weighted sum of the filtered signals. The data can be recovered at the receiver by applying a plurality of orthogonal matched filters to the received unipolar signal to obtain a plurality of filtered signals, and performing symbol detection on the plurality of filtered signals to determine the received symbol. Apparatus for transmitting and receiving unipolar signals are also disclosed.