PAPR Performance Evaluation of OFDM, RPDM, and ORPDM Multicarrier Modulation Schemes
Multicarrier Modulation (MCM) schemes based on Nested Periodic Matrices (NPMs) offer promising solutions to the high Peak-to-Average Power Ratio (PAPR) problem in Orthogonal Frequency Division Multiplexing (OFDM). Among these, Ramanujan Periodic-subspace Division Multiplexing (RPDM) emerges as a can...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
IEEE
2025-01-01
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| Series: | IEEE Open Journal of the Communications Society |
| Subjects: | |
| Online Access: | https://ieeexplore.ieee.org/document/11036771/ |
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| Summary: | Multicarrier Modulation (MCM) schemes based on Nested Periodic Matrices (NPMs) offer promising solutions to the high Peak-to-Average Power Ratio (PAPR) problem in Orthogonal Frequency Division Multiplexing (OFDM). Among these, Ramanujan Periodic-subspace Division Multiplexing (RPDM) emerges as a candidate and has been analyzed when the number of subcarriers q is an integer power of 2, which represents a small subset of <inline-formula> <tex-math notation="LaTeX">$\mathbb {N}$ </tex-math></inline-formula>. Moreover, RPDM’s transformation matrix loses orthogonality for non-integer-power-of-two subcarriers, leading to increased computational complexity. To address these limitations, this work introduces Orthogonal Ramanujan Periodic-subspace Division Multiplexing (ORPDM), an MCM scheme leveraging Orthogonal Ramanujan Bases (ORBs) that retain transformation matrix orthogonality for all <inline-formula> <tex-math notation="LaTeX">$q\in \mathbb {N}$ </tex-math></inline-formula> with an enhanced computational efficiency over RPDM. The PAPR performance of OFDM, RPDM, and ORPDM is comprehensively evaluated across all natural numbers. Our theoretical and numerical analyses reveal: 1) RPDM and ORPDM consistently provide lower PAPR than OFDM; 2) For prime q, RPDM provides the lowest PAPR; 3) For prime power <inline-formula> <tex-math notation="LaTeX">$(q=p^{m})$ </tex-math></inline-formula>, ORPDM excels for smaller prime powers <inline-formula> <tex-math notation="LaTeX">$(p\lt 7)$ </tex-math></inline-formula>, while RPDM is superior when <inline-formula> <tex-math notation="LaTeX">$p\geq 7$ </tex-math></inline-formula>; 4) For composite q, if all prime factors are <inline-formula> <tex-math notation="LaTeX">$\leq 5$ </tex-math></inline-formula>, ORPDM achieves the best PAPR reduction; if all prime factors are <inline-formula> <tex-math notation="LaTeX">$\geq 7$ </tex-math></inline-formula>, RPDM remains optimal. In addition to PAPR, we evaluate and compare spectral efficiency, Out-of-Band (OOB) emissions, and Bit Error Rate (BER) performance across the three MCM schemes. |
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| ISSN: | 2644-125X |