Collision Codes: Decoding Superimposed BPSK Modulated Wireless Transmissions

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The introduction of physical layer network coding gives rise to the concept of turning a collision of transmissions on a wireless channel useful. In the idea of physical layer network coding, two synchronized simultaneous packet transmissions are carefully encoded such that the superimposed transmission can be decoded to produce a packet which is identical to the bitwise binary sum of the two transmitted packets. This paper explores the decoding of superimposed transmission resulted by multiple synchronized simultaneous transmissions. The authors devise a coding scheme that achieves the identification of individual transmission from the synchronized superimposed transmission.