Orthogonal Prolate Spheroidal Wave Functions Pulse Modulation Method

Zhao, Zhiyong; Wang, Hongxing; Liu, Xiguo; Zhong, Peilin; Chen, Zhaonan; Kang, Jiafang

doi:10.3724/sp.j.1146.2012.00384

Cited by 4 publications

(3 citation statements)

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“…Thus, the time-bandwidth product for the PSWFs signals in the l-th sub-band can be expressed as c l = B l T (Hz • s). In the symbol period q ∈ [1, Q], the equivalent low-pass signal of the MCM-PSWFs-TD scheme with pulse amplitude modulation (PAM) constellation [11]- [19] in spectrum range [−B/2, B/2](Hz) can be uniformly expressed as…”

Section: A the Discrete Representation Of Modulation Signalmentioning

confidence: 99%

“…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%

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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: A the Discrete Representation Of Modulation Signalmentioning

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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“…Prolate Spheroidal Wave Function is Bell Laboratories D. Slepian and O. Pollak defined a collection class of special functions in 1961 [1] , which has been widely used in Communications Engineering [2] , fluid dynamics [3] , and other fields. Based on the existing properties of PSWF, such as the biorthogonal features, spectrum controllability, the best time-frequency energy clustering, etc.…”

Section: Introductionmentioning

confidence: 99%

A New RF Power Amplifier Linearization Method

Mao¹,

Wu²,

Lu³

et al. 2017

Proceedings of the 3rd International Conference on Wireless Communication and Sensor Networks (WCSN 2016)

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Abstract-For the weakness of the existing predistortion algorithm, when large amplitude component in the modulation signal which is more than the voltage in saturation will be limited, leading to predistortion algorithm become invalid, and a new joint RF power amplifier (PA) linearization method is proposed. The method in this paper combines Peak-to-average Power Ratio (PAPR) reduction method base on u-law with predistortion algorithm, first compressing the signal amplitude by using PAPR reduction method, then linearizing the modulation signal by using predistortion algorithm, two boxes supplemented to each other, solving the weakness of the existing predistortion algorithm. The simulation result shows that the proposed method can effectively improve the power spectrum of the signal with about 5 dB out-of-band distortion compensation, effectively improve the Bit-Error-Ratio (BER) performance of system, and reduce the gap to the original signal less than 2 dB when the BER performance is 10 -5 in nonlinear AWGN channel.

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