Abstract: Methods and systems are provided for transmitting data using an orthogonal pules shape multiplexing scheme. A transmitter can receive a vector comprising a plurality of symbols. A plurality of continuous pulses can be designed, with each of the continuous pulses corresponds to one of the plurality of symbols in the received vector. Any two pulses selected from the plurality of continuous pulses can be orthogonal. The plurality of continuous pulses can be sampled to produce a corresponding plurality of discrete pulses. The received vector can be transformed based on a transform matrix constructed using on the plurality of discrete pulses. The transformed vector can be transmitted to a receiver.