Maximal capacity nonorthogonal pulse shape modulation

Chen, Zhaonan; Wang, Hongxing; Liu, Xiguo; Zhong, Ping

doi:10.1016/j.cja.2015.09.008

Cited by 3 publications

(4 citation statements)

References 17 publications

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“…PSWFs , N ′ PSWFs 数值由不同子波带 PSWFs 信号时间带宽积、交叠度, 以及选用信号路数共同决定 [11,12] . 当传输码元周期个数为 Q 时, 不同调制方法的系统频带利用率可统一表示为…”

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

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

“…在加性 Gauss 白噪声信道条件下, 不同调制方法系统误码性能如图 3 所示. 结合式 (11) 和图 3 可知: OFDM-IM [16] O(XNclog 2 XNc + gnlog 2 n + M gn) 2.46 × 10 4…”

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

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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“…Magnetic resonance imaging (MRI) [10] applies a matching 2D-PSWF filter so that optimal signal concentration and minimal truncation artifacts are achieved. Other applications, such as noise filtering for chipless RFID [11], improving the spectral utilization of communication systems [12], MIMO radar [13], satellite navigation [14], and diffuse sound pressure fields [15] also make use of PSWFs.…”

Section: Introductionmentioning

confidence: 99%

Evaluation of the Prolate Spheroidal Wavefunctions via a Discrete-Time Fourier Transform Based Approach

Baddour,

Sun

2023

Symmetry

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Computation of prolate spheroidal wavefunctions (PSWFs) is notoriously difficult and time consuming. This paper applies operator theory to the discrete Fourier transform (DFT) to address the problem of computing PSWFs. The problem is turned into an infinite dimensional matrix operator eigenvalue problem, which we recognize as being the definition of the DPSSs. Truncation of the infinite matrix leads to a finite dimensional matrix eigenvalue problem which in turn yields what is known as the Slepian basis. These discrete-valued Slepian basis vectors can then be used as (approximately) discrete time evaluations of the PSWFs. Taking an inverse Fourier transform further demonstrates that continuous PSWFs can be reconstructed from the Slepian basis. The feasibility of this approach is shown via theoretical derivations followed by simulations to consider practical aspects. Simulations demonstrate that the level of errors between the reconstructed Slepian basis approach and true PSWFs are low when the orders of the eigenvectors are low but can become large when the orders of the eigenvectors are high. Accuracy can be increased by increasing the number of points used to generate the Slepian basis. Users need to balance accuracy with computational cost. For large time-bandwidth product PSWFs, the number of Slepian basis points required increases for a reconstruction to reach the same error as for low time-bandwidth products. However, when the time-bandwidth products increase and reach maximum concentration, the required number of points to achieve a given error level achieves steady state values. Furthermore, this method of reconstructing the PSWF from the Slepian basis can be more accurate when compared to the Shannon sampling approach and traditional quadrature approach for large time-bandwidth products. Finally, since the Slepian basis represents the (approximate) sampled values of PSWFs, when the number of points is sufficiently large, the reconstruction process can be omitted entirely so that the Slepian vectors can be used directly, without a reconstruction step.

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“…In recent decades, a variety of time domain multi-carrier modulation schemes based on PSWFs (MCM-PSWFs-TD) have been proposed, such as orthogonal PSWFs modulation method [11], pulse shape modulation based on PSWFs [12], [13], orthogonal carrier modulation based on PSWFs [14], orthogonal PSWFs modulation based on ternary coding [15], multidimensional constellation PSWFs modulation [16], multidimensional coded modulation with PSWFs [17], non-orthogonal pulse shape modulation with PSWFs (NPSM-PSWFs) [18] and power domain NPSM-PSWFs [19], etc. The core idea of these modulation schemes is directly designing the PSWFs signal in the 2D space of time-frequency domain.…”

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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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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Maximal capacity nonorthogonal pulse shape modulation

Cited by 3 publications

References 17 publications

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

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

Evaluation of the Prolate Spheroidal Wavefunctions via a Discrete-Time Fourier Transform Based Approach

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

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