Triangular Constellations for Adaptive Modulation

Adaptive modulation is widely employed to improve spectral efficiency. To date, square signal constellations have been used with adaptive modulation. In this paper, triangular constellations are considered for this purpose. Triangle quadrature amplitude modulation (TQAM) for both power-of-two and non-power-of-two modulation orders is examined. A technique for TQAM mapping is presented which is better than existing approaches. A new type of TQAM called semi-regular TQAM (S-TQAM) is introduced. Bit error rate expressions for TQAM are derived, and the detection complexity of S-TQAM is compared with that of regular TQAM (R-TQAM) and irregular TQAM (I-TQAM). The performance of S-TQAM over additive white Gaussian noise and Rayleigh fading channels is compared with that of R-TQAM and I-TQAM.

[1]  Shahzad Amin Sheikh,et al.  SEP performance of triangular QAM with SC and GSC spatial diversity over Rayleigh channels , 2016, 2016 IEEE/ACIS 15th International Conference on Computer and Information Science (ICIS).

[2]  T. Aaron Gulliver,et al.  Ternary Convolutional Codes for Ternary Phase Shift Keying , 2016, IEEE Communications Letters.

[3]  Moo-Kwang Byeon,et al.  Odd-bit triangular quadrature amplitude modulations , 2009, 2009 IEEE 20th International Symposium on Personal, Indoor and Mobile Radio Communications.

[4]  Anh Tuan Le,et al.  A group of modulation schemes for adaptive modulation , 2008, 2008 11th IEEE Singapore International Conference on Communication Systems.

[5]  Richard D. Gitlin,et al.  Optimization of Two-Dimensional Signal Constellations in the Presence of Gaussian Noise , 1974, IEEE Trans. Commun..

[6]  R. E. Goot,et al.  Variable rate data transmission by size of constellation and symbol duration adaptation , 2014 .

[7]  Sung-Joon Park,et al.  Triangular Quadrature Amplitude Modulation , 2007, IEEE Communications Letters.

[8]  Sung-Joon Park.  Bit Mapping of Triangular Quadrature Amplitude Modulation , 2007, 2007 IEEE 18th International Symposium on Personal, Indoor and Mobile Radio Communications.

[9]  Lajos Hanzo,et al.  Single- and Multi-carrier Quadrature Amplitude Modulation : Principles and Applications for Personal Communications, WLANs and Broadcasting , 2000 .

[10]  Tjeng Thiang Tjhung,et al.  On ternary phase-shift keyed signaling , 1982, IEEE Trans. Inf. Theory.

[11]  David Thomas,et al.  The Art in Computer Programming , 2001 .

[12]  Sung-Joon Park,et al.  Performance Analysis of Triangular Quadrature Amplitude Modulation in AWGN Channel , 2012, IEEE Communications Letters.

[13]  Moo-Kwang Byeon,et al.  Error Performances of 64-ary Triangular Quadrature Amplitude Modulation in AWGN Channel , 2007, 2007 IEEE 65th Vehicular Technology Conference - VTC2007-Spring.

[14]  R. Amutha.  Performance analysis of 64-ary triangular quadrature amplitude modulation , 2011 .

[15]  Warnakulasuriya Anil Chandana Fernando,et al.  Adaptive modulation based MC-CDMA systems for 4G wireless consumer applications , 2003, IEEE Trans. Consumer Electron..

[16]  Andrea J. Goldsmith,et al.  Adaptive coded modulation for fading channels , 1998, IEEE Trans. Commun..

[17]  Moo-Kwang Byeon,et al.  Irregularly distributed triangular quadrature amplitude modulation , 2008, 2008 IEEE 19th International Symposium on Personal, Indoor and Mobile Radio Communications.

[18]  J. Cavers,et al.  Variable-Rate Transmission for Rayleigh Fading Channels , 1972, IEEE Trans. Commun..

[19]  Luca Rugini,et al.  Symbol Error Probability of Hexagonal QAM , 2016, IEEE Communications Letters.

[20]  Iwao Sasase,et al.  Trellis coded modulation using partially overlapped signal sets of non-equiprobable signaling , 1994, 5th IEEE International Symposium on Personal, Indoor and Mobile Radio Communications, Wireless Networks - Catching the Mobile Future..

[21]  Babak Hassibi,et al.  On the sphere-decoding algorithm I. Expected complexity , 2005, IEEE Transactions on Signal Processing.