P. Bergmans, Random coding theorem for broadcast channels with degraded components, IEEE Transactions on Information Theory, vol.19, issue.2, 1973.
DOI : 10.1109/TIT.1973.1054980

P. Bergmans, A simple converse for broadcast channels with additive white Gaussian noise (Corresp.), IEEE Transactions on Information Theory, vol.20, issue.2, pp.279-280, 1974.
DOI : 10.1109/TIT.1974.1055184

R. Gallager, Capacity and Coding for Degraded Broadcast Channels, Probl. Infor. Transm, pp.185-193, 1974.

G. Imai and S. Hirakawa, A new multilevel coding method using error-correcting codes, IEEE Transactions on Information Theory, vol.23, issue.3, pp.371-377, 1977.
DOI : 10.1109/TIT.1977.1055718

G. Ungerboeck, Channel coding with multilevel/phase signals, IEEE Transactions on Information Theory, vol.28, issue.1, pp.55-67, 1982.
DOI : 10.1109/TIT.1982.1056454

P. Bergmans and T. Cover, Cooperative broadcasting, IEEE Transactions on Information Theory, vol.20, issue.3, pp.317-324, 1974.
DOI : 10.1109/TIT.1974.1055232

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.366.5336

H. Meric, J. Lacan, C. Amiot-bazile, F. Arnal, and M. Boucheret, Generic approach for hierarchical modulation performance analysis: Application to DVB-SH, 2011 Wireless Telecommunications Symposium (WTS), 2011.
DOI : 10.1109/WTS.2011.5960857

A. Calderbank and L. Ozarow, Nonequiprobable signaling on the Gaussian channel, IEEE Transactions on Information Theory, vol.36, issue.4, pp.726-740, 1990.
DOI : 10.1109/18.53734

D. Sommer and G. Fettweis, Shaping by Non-Uniform QAM for AWGN Channels and Applications Using Turbo Coding, ITG Conference Source and Channel Coding, pp.81-86, 2000.

C. Fragouli, R. Wesel, D. Sommer, and G. Fettweis, Turbo codes with non-uniform constellations, ICC 2001. IEEE International Conference on Communications. Conference Record (Cat. No.01CH37240), 2001.
DOI : 10.1109/ICC.2001.936275

N. Varnica, X. Kavcic, and A. , Capacity of power constrained memoryless AWGN channels with fixed input constellations, Global Telecommunications Conference, 2002. GLOBECOM '02. IEEE, pp.1339-1343, 2002.
DOI : 10.1109/GLOCOM.2002.1188416

D. Raphaeli and A. Gurevitz, Constellation Shaping for Pragmatic Turbo-Coded Modulation With High Spectral Efficiency, IEEE Transactions on Communications, vol.52, issue.3, pp.341-345, 2004.
DOI : 10.1109/TCOMM.2004.823564

S. Legoff, B. Khoo, C. Tsimenidis, and B. Sharif, Constellation Shaping for Bandwidth-Efficient Turbo-Coded Modulation With Iterative Receiver, IEEE Transactions on Wireless Communications, vol.6, issue.6, pp.2223-2233, 2007.
DOI : 10.1109/TWC.2007.05780

N. Ngo, S. Barbulescu, and S. Pietrobon, Performance of Nonuniform M-ary QAM Constellation on Nonlinear Channels, 2005 Australian Communications Theory Workshop, 2005.
DOI : 10.1109/AUSCTW.2005.1624230

J. Zhang, D. Chen, and Y. Wang, A New Constellation Shaping Method and Its Performance Evaluation in BICM-ID, 2009 IEEE 70th Vehicular Technology Conference Fall, 2009.
DOI : 10.1109/VETECF.2009.5378694

M. Valenti and X. Xiang, Constellation Shaping for Bit-Interleaved LDPC Coded APSK, IEEE Transactions on Communications, vol.60, issue.10, pp.2960-2970
DOI : 10.1109/TCOMM.2012.070912.110533

C. Huppert and M. Bossert, On Achievable Rates in the Two User AWGN Broadcast Channel with Finite Input Alphabets, 2007 IEEE International Symposium on Information Theory, 2007.
DOI : 10.1109/ISIT.2007.4557607

T. Cover and J. Thomas, Elements of Information Theory, 2006.

J. Gledhill, P. Macavock, and R. Miles, DVB-T: Hierarchical Modulation, 2000.

A. Schertz and C. Weck, Hierarchical Modulation-The Transmission of Two Independent DVB-T multiplexes on a single frequency, 2003.

V. Singh, On Superposition Coding for Wireless Broadcast Channels Master's thesis, Royal Institute of Technology, Sweden, 2005.

Z. Mheich, P. Duhamel, L. Szczecinski, and M. Alberi-morel, Constellation Shaping for Broadcast Channels in Practical Situations, Proc. of the 19th European Signal Processing Conference, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00709816

Z. Mheich, M. Alberi-morel, and P. Duhamel, Optimization of Unicast Services Transmission for Broadcast Channels in Practical Situations, Bell Labs Technical Journal, vol.17, issue.1, pp.5-24, 2012.
DOI : 10.1002/bltj.21521

URL : https://hal.archives-ouvertes.fr/hal-00709793

Z. Mheich, F. Alberge, and P. Duhamel, On the Efficiency of Transmission Strategies for Broadcast Channels Using Finite Size Constellations, Proc. of the 21st European Signal Processing Conference, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00833763

R. Blahut, Computation of channel capacity and rate-distortion functions, IEEE Transactions on Information Theory, vol.18, issue.4, 1972.
DOI : 10.1109/TIT.1972.1054855

K. Yasui and T. Matsushima, Toward computing the capacity region of degraded broadcast channel, 2010 IEEE International Symposium on Information Theory, 2010.
DOI : 10.1109/ISIT.2010.5513525