STBC from field extensions of the rational field

The construction of space time block code (STBCS) over symmetric m-PSK (m-arbitrary) signal sets for a restricted set of number of antennas n is presented by Sethuraman and Sundar Rajan (see ICC 2002, New York, 2002), using cyclotomic field extensions of the field of rationals /spl Qopf/. We extend the method of Sethuraman et al. and achieve construction of minimal-delay, full-rank, rate-1 STBCs over (i) certain asymmetric m-PSK (m-arbitrary) signal sets, QAM and cross-constellations, (ii) certain rotationally invariant signal sets, for arbitrary number of antennas, using transcendental extensions of /spl Qopf/ and (iii) using non-cyclotomic field extensions of /spl Qopf/ for arbitrary number of antennas.