
Hierarchical Modulation for IEEE 802.11: Analytical Results and Discussions
Explore the initial results of Hierarchical Modulation for IEEE 802.11 with analytical expressions for BER in SISO, uncoded systems. Discover insights on uniform and non-uniform constellations like 16QAM and 64QAM, including BER plots and discussions on modulation orders and robustness levels. Dive into the impact of R values on modulation schemes and interpretations of results based on theoretical formulations.
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March 2024 doc.: IEEE 802.11-24/0457r1 Hierarchical Modulation for 802.11 initial results Date: 2024-03-XX Authors: Name Affiliations Address Phone email Vamadevan Namboodiri Samsung devan.n@samsung.com Eunsung Jeon Samsung eusnung.jeon@samsung.com Submission Slide 1 Vamadevan Namboodiri and Eunsung Jeon, Samsung
March 2024 doc.: IEEE 802.11-24/0457r1 Analytical Results, New findings and Discussions We introduced Hierarchical Modulation in [1] [2] gives expressions for BER for SISO, uncoded , Hierarchical Modulation systems. Next few slides provide BER plots for 16QAM and 64 QAM based on formulation in [2] These are not results from simulation, but from the analytical expressions given in the reference A few parameters are introduced in the next slide to understand/interpret those results. Submission Slide 2 Vamadevan Namboodiri and Eunsung Jeon, Samsung
March 2024 doc.: IEEE 802.11-24/0457r1 definitions (illustrations with 16 QAM constellation) When ?? = ??, we get uniform constellation 802.11 constellations are uniform Define the parameter R as, ?12 (? 4 1)?22 ? = ?12+ 3 M is the modulation order For uniform 16QAM constellation R= 0.8 64 QAM constellation R = 0.76 Increasing ?? can increase R Why? ? 2 ?1 = ?1 + 1 d2 For e.g., for 16QAM, If ?? = ?.? ??, R = 0.86 Submission Slide 3 Vamadevan Namboodiri and Eunsung Jeon, Samsung
March 2024 doc.: IEEE 802.11-24/0457r1 Non-uniform 16QAM (higher R) ?? ?? ?1 ?? ?? ? ?1 ?1 Submission Slide 4 Vamadevan Namboodiri and Eunsung Jeon, Samsung
March 2024 doc.: IEEE 802.11-24/0457r1 Non-uniform 64QAM (higher R) ?? ?? ?1 ?? ?? ? ?1 ?1 Submission Slide 5 Vamadevan Namboodiri and Eunsung Jeon, Samsung
March 2024 doc.: IEEE 802.11-24/0457r1 Uncoded BER vs SNR for uniform 16 QAM (channel AWGN ) HP & LP streams have different levels of robustness Submission Slide 6 Vamadevan Namboodiri and Eunsung Jeon, Samsung
March 2024 doc.: IEEE 802.11-24/0457r1 Uncoded BER vs SNR for uniform 64 QAM (channel AWGN ) HP & LP streams have different levels of robustness Submission Slide 7 Vamadevan Namboodiri and Eunsung Jeon, Samsung
March 2024 doc.: IEEE 802.11-24/0457r1 Results from [2] 256QAM Definitions LP bits are a.k.a Refinement bits HP Bits are a.k.a Base Bits Discussion As R increases HP robustness increases considerably whereas LP robustness degrades slightly. Uniform Constellation Submission Slide 8 Vamadevan Namboodiri and Eunsung Jeon, Samsung
March 2024 doc.: IEEE 802.11-24/0457r1 Current Observations Based on the current findings we propose HM with non-uniform constellations (increase R) Independently select the coding for HP and LP streams. The study is ongoing Submission Slide 9 Vamadevan Namboodiri and Eunsung Jeon, Samsung
March 2024 doc.: IEEE 802.11-24/0457r1 Reference [1] Hierarchical Modulation for 802.11 IEEE 802.11-24/0409r1 [2] BER computation of 4/M-QAM Hierarchical Constellations : IEEE Transactions on Broadcasting, Vol 47. No 3, Sept 2001 Submission Slide 10 Vamadevan Namboodiri and Eunsung Jeon, Samsung