A Reconstructing Method of PSWF Pulse Based on Three-valued Walsh Interpolation Functions

Sai, Lei; Liu, Chuanhui; Lu, Faping; Sai, Ting

doi:10.1109/itnec.2019.8729012

Cited by 2 publications

(1 citation statement)

References 5 publications

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“…An important result of this paper is to present a Fourier series expansion approach to solving the Fredholm integral with various photoacoustic absorbers. The traditional methods of solving Fredholm's integral equations require large amounts of calculation and the computational efficiency is low [18]. Many other available approaches can also be used, such as the B-spline wavelet method [19], Taylor's expansion method [20], the sampling theory method [21], and others [22][23][24].…”

Section: Introductionmentioning

confidence: 99%

Waveform Selection Based on Discrete Prolate Spheroidal Sequences for Near-Optimal SNRs for Photoacoustic Applications

Sun,

Baddour

2023

Photonics

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Waveform engineering is an important topic in imaging and detection systems. Waveform design for the optimal Signal-to-Noise Ratio (SNR) under energy and duration constraints can be modelled as an eigenproblem of a Fredholm integral equation of the second kind. SNR gains can be achieved using this approach. However, calculating the waveform for optimal SNR requires precise knowledge of the functional form of the absorber, as well as solving a Fredholm integral eigenproblem which can be difficult. In this paper, we address both those difficulties by proposing a Fourier series expansion method to convert the integral eigenproblem to a small matrix eigenproblem which is both easy to compute and gives a heuristic view of the effects of different absorber kernels on the eigenproblem. Another important result of this paper is to provide an alternate waveform, the Discrete Prolate Spheroidal Sequences (DPSS), as the input waveform to obtain near optimal SNR that does not require the exact form of the absorber to be known apriori.

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Section: Introductionmentioning

confidence: 99%

Waveform Selection Based on Discrete Prolate Spheroidal Sequences for Near-Optimal SNRs for Photoacoustic Applications

Sun,

Baddour

2023

Photonics

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Multiband SHEPWM Control Technology Based on Walsh Functions

Song

et al. 2020

Electronics

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The drawback of modulation ratio limitation in selective harmonic elimination pulse width modulation (SHEPWM) technology based on Walsh function transformation. In order to solve this problem, a multiband SHEPWM control technology method for a multilevel inverter based on Walsh functions is proposed. By analyzing multiband SHEPWM for multilevel inverter voltage waveforms under a Fourier series transform, the unified nonlinear multiband SHEPWM equations for a multilevel inverter with a modulation index varying from 0 to 1 can be generalized. The equations can be solved by Walsh function transform. In this way, the difficulties faced in expanding the modulation index, online calculation, and real-time control are resolved simultaneously. A seven-level inverter is taken as the example, for which the piecewise linear equations of Walsh functions under different bands and the trajectories of switching angles are given. Meanwhile, the conditions for multiple sets of solutions at such a point where the modulation index is switched over are also taken into account. The feasibility of the proposed method is verified by simulation based on MATLAB and SIMULINK. Finally, the feasibility of the practical application is proved by the experiment based on Digital Signal Processor (DSP).

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A Reconstructing Method of PSWF Pulse Based on Three-valued Walsh Interpolation Functions

Cited by 2 publications

References 5 publications

Waveform Selection Based on Discrete Prolate Spheroidal Sequences for Near-Optimal SNRs for Photoacoustic Applications

Waveform Selection Based on Discrete Prolate Spheroidal Sequences for Near-Optimal SNRs for Photoacoustic Applications

Multiband SHEPWM Control Technology Based on Walsh Functions

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