Strict parity symmetric prolate spheroidal wave functions signal construction and low complexity detection method

Wang, Hongxing; Lu, Faping; Liu, Chuanhui; Kang, Jiafang

doi:10.1360/ssi-2019-0121

Cited by 5 publications

(4 citation statements)

References 5 publications

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“…We can observe from (21) and (22) that, in the condition that the power of modulation signal is constant, the PAPR is closely related to the coefficient |a p |. Denote the average power of the MCM-PSWFs-FD signal as P. Since the CP-OFDM, WOLA-OFDM, F-OFDM and UFMC scheme invoke CP, window function or filter function, different symbol period signals of the FBMC-OQAM scheme overlaps in the time domain, the average power in single symbol period of the aforementioned MCM schemes is (1+β)P, β 0, which is larger than that of the MCM-PSWFs-FD scheme.…”

Section: Peak-to-average Power Ratiomentioning

confidence: 99%

“…Hence, in this paper, we aim for designing an alternative solution of waveform design in some 5G scenarios by proposing a novel MCM-PSWFs scheme. Additionally, our previous work [21] separately processes odd symmetric and even symmetric waveforms of PSWFs based on their parity symmetry in the time domain, which is capable of effectively reducing the complexity of the generation and detection of signals. Meanwhile, this also provides a novel solution for reducing the complexity of MCM-PSWFs system.…”

Section: Introductionmentioning

confidence: 99%

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Frequency Domain Multi-Carrier Modulation Based on Prolate Spheroidal Wave Functions

Wang

Liu

et al. 2020

IEEE Access

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A novel frequency domain multi-carrier modulation (MCM-FD) scheme is proposed based on prolate spheroidal wave functions (PSWFs) for reducing the high complexity in the conventional time domain PSWFs multi-carrier modulation (MCM-PSWFs-TD) schemes. By constructing the relationship between discrete representation and exponential function representation of MCM-PSWFs-TD signals, it can be observed that the orthogonality and parity symmetry of the waveforms of PSWFs in the frequency domain are the same as that in the time domain. Thus, the PSWFs signal can be divided into two groups based on their parity symmetry, while these two groups of PSWFs signals can be processed simultaneously. Based on this concept, signal waveforms with only half spectrum range are invoked in the process of information loading and signal detection for reducing the number of sampling points participated in the signal operation. Compared to the MCM-PSWFs-TD scheme, the proposed MCM-PSWFs-FD scheme is capable of significantly reducing the computational complexity without severely degrading the system performance, such as spectral efficiency (SE), bit error rate performance, signal energy concentration and peak-to-average power ratio (PAPR). Furthermore, the cyclic-prefix orthogonal frequency division multiplexing (CP-OFDM), OFDM with weighted overlap and add (WOLA-OFDM), filter OFDM (F-OFDM), universal filtered multi-carrier (UFMC), as well as the filter bank multi-carrier with offset quadrature amplitude modulation (FBMC-OQAM) are also demonstrated as benchmarks. Simulation results are provided for illustrating that the proposed MCM-PSWFs-FD scheme is capable of striking a favorable tradeoff between the computational complexity and the system performance (i.e. SE, out-of-band energy leakage, adjacent frequency band interference, and PAPR), while the signal waveform design of the MCM-PSWFs-FD scheme is also more concise and flexible than the benchmarks. INDEX TERMS Prolate spheroidal wave functions, multi-carrier modulation, waveform design, timefrequency resource allocation, spectral efficiency. HONGXING WANG received the B.Eng. degree in telecommunication from the Chengdu Telecommunication Engineering Institute, China, in 1982, the M.Eng. degree in communication and electronic system from Naval Aeronautical and Astronautical Engineering University, China, in 1990, and the Ph.D. degree in communication and information systems from Beijing Aeronautical and Astronautical University, China, in 2007. He is currently a Full Professor and a Ph.D. Supervisor with the Department of Aeronautical Communication, Naval Aviation University, China. His research interests include modern multicarrier communication systems, digital signal processing, optical wireless communications, and 5G wireless networks.

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Section: Peak-to-average Power Ratiomentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Frequency Domain Multi-Carrier Modulation Based on Prolate Spheroidal Wave Functions

Wang

Liu

et al. 2020

IEEE Access

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“…其中, c = BT (Hz • s) 为 PSWFs 信号时间带宽积, φ i (t) 为第 i 阶 PSWFs 信号, λ i 为 PSWFs 信号 φ i (t) 能量聚集度. 需要特别说明的是, 当 f L = 0 (Hz), 式 (1) 所示为低通 PSWFs 信号; 当 f L > 0 (Hz), 式 PSWFs 信号进行优选、分组, 进而利用 IM 和 PAM 同时进行信息加载, 获取调制符号; 而后采用基于奇偶特性的调制信号产生方法 [24] , 产生基于信号分组优化的 PSWFs 多载波调制信号. 在接收端, 首…”

Section: 基于信号分组优化的 Pswfs 多载波调制解调与检测方法unclassified

“…F-OFDM-IM [19] O(XNclog 2 XNc + +2XN F Nc + gnlog 2 n + M gn) 2.46 × 10 5 FBMC-IM [29] O(KXNclog 2 XNc + 2KXNc + gnlog 2 n + M gn) 4.54 × 10 4 MCOM-PSWFs [24] O(XN 2 c ) 9.52 × 10 4…”

Section: 调制信号功率谱与峰均功率比mentioning

confidence: 99%

Multi-carrier modulation scheme based on prolate spheroidal wave functions with signal grouping optimization

王¹,

陆²,

刘³

et al. 2021

Sci. Sin.-Inf.

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To improve the spectral efficiency (SE) of multi-carrier modulation based on prolate spheroidal wave functions (PSWFs), a novel PSWFs multi-carrier modulation method based on signal grouping optimization is proposed. The proposed method performs group optimization on PSWFs signals, and conveys information by index modulation (IM) and pulse amplitude modulation (PAM), which can improve SE on the premise of ensuring high energy aggregation of the modulation signal. Firstly, according to the number of PSWFs signal and packets, the proposed method selects high-energy aggregation PSWFs signals to ensure that the signal waveform has high energy aggregation. Secondly, the proposed method adopts I/Q independent branches, and uses IM and PAM for information loading, which aims to increase the number of modulation symbol combinations and improve SE. Theoretical and simulation analysis shows that, compared with the multi-carrier orthogonal and non-orthogonal modulation based on PSWFs, the proposed method can effectively improve the system SE without significantly reducing the signal energy aggregation and peak-to-average power ratio. Furthermore, compared with the classical orthogonal frequency division multiplexing with IM (OFDM-IM), the proposed method has higher SE and bit error ratio performance.

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Thermo-/photo-catalysts for aerobic oxidative cyanation of diverse oxygen-containing feedstocks

He,

Zhou,

Zhang

et al. 2024

Green Chem.

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Strict parity symmetric prolate spheroidal wave functions signal construction and low complexity detection method

Cited by 5 publications

References 5 publications

Frequency Domain Multi-Carrier Modulation Based on Prolate Spheroidal Wave Functions

Frequency Domain Multi-Carrier Modulation Based on Prolate Spheroidal Wave Functions

Multi-carrier modulation scheme based on prolate spheroidal wave functions with signal grouping optimization

Thermo-/photo-catalysts for aerobic oxidative cyanation of diverse oxygen-containing feedstocks

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