Markov Codes Make Gaussian Pulse Superior to a Raised Cosine Pulse

A Gaussian pulse has intersymbol-interference, which degrades signal to interference ratio (SIR). In asynchronous CDMA system, however, Markov codes with negative correlation recover the SIR of Gaussian pulses. The improvement over i.i.d. codes is 2.3 dB and Gaussian pulse achieves almost same SIR and bandwidth as a root raised cosine (RRC) pulse. The filter length of Gaussian pulse is only a quarter of the RRC one.