  The paper proposed a method that organizes a parallel transmission of two
signals to be separated from each other at receiver through Hamming- to
Euclidean space, where the conventional problem of achievable bit rate (ABR) is
converted to that of the ABR's summation with respect to the two separated
signals. Actually, the mutual information is separated accordingly into two.
Since the mutual information is non-linear function of signal power in general,
the separation brings a chance for achieving higher ABR. The proposed work
proceeds along the above thinking and achieves higher bit-error-rate (BER)
performance in comparison with BPSK as shown in the simulations. Moreover, one
can find theoretically beyond of channel capacity of BPSK input.
