• Title/Summary/Keyword: Discrete Meyer

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Performance Comparison of OFDM Based on Fourier Transform and Wavelet OFDM Based on Wavelet Transform (웨이블릿 변환 기반의 Wavelet-OFDM 시스템과 푸리에 변환 기반의 OFDM 시스템의 성능 비교)

  • Lee, Jungu;Ryu, Heung-Gyoon
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.29 no.3
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    • pp.184-191
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    • 2018
  • Orthogonal frequency division multiplexing(OFDM) is a multicarrier modulation(MCM) system that enables high-speed communications using multiple carriers and has advantages of power and spectral efficiency. Therefore, this study aims to complement the existing shortcomings and to design an efficient MCM system. The proposed system uses the inverse discrete wavelet transform(IDWT) operation instead of the inverse fast Fourier transform(IFFT) operation. The bit error rate(BER), spectral efficiency, and peak-to-average power ratio(PAPR) performance were compared with the conventional OFDM system through the OFDM system design based on wavelet transform. Our results showed that the conventional OFDM and Wavelet-OFDM exhibited the same BER performance, and that the Wavelet-OFDM using the discrete Meyer wavelet had the same spectral efficiency as the conventional OFDM. In addition, all systems of Wavelet-OFDM based on various wavelets confirm a PAPR performance lower than that of conventional OFDM.

New Mexican Hat, a Discrete Reconstruction Theorem of $L^1$-Wavelets and Their Applications (새로운 Mexican Hat, $L^1$-웨이브릿의 이산복원정리와 그 응용)

  • 안주원;허영대;권기룡;류권열;문광석
    • Journal of Korea Multimedia Society
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    • v.3 no.5
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    • pp.461-469
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    • 2000
  • A wavelet analysis in a field of analytics is to create a reconstruction theorem of Plancherel form. And a series of wavelet is to create a discrete is to create a discrete reconstruction theorem for a frame theory and a multiresolution analysis theory. As a generation of reconstruction theorem, a wavelet correspond to it is generated. That is to be like a basic wavelet which is satisfied an admissibility condition in CWT and a Daubechies wavelet using MRA in wavelet series and a Meyer wavelet using a frame theory. In this paper, we discover a discrete reconstruction theorem which is superior to a conventional discrete reconstruction theorem by extending admissibility condition used in CWT and develop a New $L^1$-wavelet group. A new $L^1$-wavelet is applied to a signal reconstruction and a signal analysis in time-frequency region.

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Performance of Interference Mitigation with Different Wavelets in Global Positioning Systems

  • Seo, Bo-Seok;Park, Kwi-Woo;Park, Chansik
    • Journal of Positioning, Navigation, and Timing
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    • v.8 no.4
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    • pp.165-173
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    • 2019
  • In this paper, we apply a discrete wavelet packet transform (DWPT) to reduce the influence of interference in global positioning system (GPS) signals and compare the interference mitigation performance of various wavelets. By applying DWPT to the received signal, we can gradually divide the received signal band into low-pass and high-pass bands. After calculating the average power for the separate bands, we can determine whether there is interference by comparing the value with the given threshold. For a band that includes interference, we can reconstruct the whole band signal using inverse DWPT (IDWPT) after applying a nulling method that sets all of the wavelet coefficients to 0. The reconstructed signals are correlated with the pseudorandom noise (PRN) codes to acquire GPS signals. The performance evaluation is based on the number of satellite signals whose peak ratio (defined as the ratio of the first and second correlation peak values in the acquisition stage) exceeds the threshold. In this paper, we compare and evaluate the performance of 6 wavelets including Haar, Daubechies, Symlets, Coiflets, Biorthogonal Splines, and Discrete Meyer.

Preliminary Study of Ambulation Training on Electromechanical Gait Trainer in Stroke Patients (전동식 보행 훈련기를 이용한 뇌졸중 환자 보행훈련의 사전연구)

  • Kim, Jae-Hyun;An, Seung-Huon;Bae, Sung-Soo
    • Journal of the Korean Society of Physical Medicine
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    • v.1 no.1
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    • pp.1-12
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    • 2006
  • Purpose : The purpose of this study was to investigate the effect of electromechanical gait trainer therapy in stroke patients. The gait trainer was designed to provide nonambulatory subjects the repetitive practice of a gait-like movement without overstraining therapist. To simulate normal gait, discrete stance and swing phase, lasting 60% and 40% of the gait cycle respectively, and the control of the movement of the centre of mass were required. Methods : This preliminary study investigated during 8 weeks therapy on the gait trainer could improve gait ability in 5 subacute and chronic hemiparetic stroke patients. Gait ability(time up & go [TUG], comfortable and maximal gait speed and functional ambulation category[FAC]), functional movement of lower extremity(Fugl-Meyer Assessment [FMA] and composite spasticity score [CSS]) and sensory of lower extremity(Fugl-Meyer Assessment sensory [FMA-s])were the measured. Results : TUG, comfortable and maximal gait speed and FMA were improved significantly. Although FAC, FMA-s and CSS were improved, there were not statistically significant. Conclusion : Therefore, the gait trainer enabled affected patients the repetitive practice of a gait-like movement, which is important for the restoration of walking ability.

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Effect of Levy Flight on the discrete optimum design of steel skeletal structures using metaheuristics

  • Aydogdu, Ibrahim;Carbas, Serdar;Akin, Alper
    • Steel and Composite Structures
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    • v.24 no.1
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    • pp.93-112
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    • 2017
  • Metaheuristic algorithms in general make use of uniform random numbers in their search for optimum designs. Levy Flight (LF) is a random walk consisting of a series of consecutive random steps. The use of LF instead of uniform random numbers improves the performance of metaheuristic algorithms. In this study, three discrete optimum design algorithms are developed for steel skeletal structures each of which is based on one of the recent metaheuristic algorithms. These are biogeography-based optimization (BBO), brain storm optimization (BSO), and artificial bee colony optimization (ABC) algorithms. The optimum design problem of steel skeletal structures is formulated considering LRFD-AISC code provisions and W-sections for frames members and pipe sections for truss members are selected from available section lists. The minimum weight of steel structures is taken as the objective function. The number of steel skeletal structures is designed by using the algorithms developed and effect of LF is investigated. It is noticed that use of LF results in up to 14% lighter optimum structures.