• 제목/요약/키워드: Fractional Fourier Transform

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FRACTIONAL ORDER THERMOELASTIC PROBLEM FOR FINITE PIEZOELECTRIC ROD SUBJECTED TO DIFFERENT TYPES OF THERMAL LOADING - DIRECT APPROACH

  • GAIKWAD, KISHOR R.;BHANDWALKAR, VIDHYA G.
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제25권3호
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    • pp.117-131
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    • 2021
  • The problem of generalized thermoelasticity of two-temperature for finite piezoelectric rod will be modified by applying three different types of heating applications namely, thermal shock, ramp-type heating and harmonically vary heating. The solutions will be derived with direct approach by the application of Laplace transform and the Caputo-Fabrizio fractional order derivative. The inverse Laplace transforms are numerically evaluated with the help of a method formulated on Fourier series expansion. The results obtained for the conductive temperature, the dynamical temperature, the displacement, the stress and the strain distributions have represented graphically using MATLAB.

Joint FrFT-FFT basis compressed sensing and adaptive iterative optimization for countering suppressive jamming

  • Zhao, Yang;Shang, Chaoxuan;Han, Zhuangzhi;Yin, Yuanwei;Han, Ning;Xie, Hui
    • ETRI Journal
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    • 제41권3호
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    • pp.316-325
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    • 2019
  • Accurate suppressive jamming is a prominent problem faced by radar equipment. It is difficult to solve signal detection problems for extremely low signal to noise ratios using traditional signal processing methods. In this study, a joint sensing dictionary based compressed sensing and adaptive iterative optimization algorithm is proposed to counter suppressive jamming in information domain. Prior information of the linear frequency modulation (LFM) and suppressive jamming signals are fully used by constructing a joint sensing dictionary. The jamming sensing dictionary is further adaptively optimized to perfectly match actual jamming signals. Finally, through the precise reconstruction of the jamming signal, high detection precision of the original LFM signal is realized. The construction of sensing dictionary adopts the Pei type fast fractional Fourier decomposition method, which serves as an efficient basis for the LFM signal. The proposed adaptive iterative optimization algorithm can solve grid mismatch problems brought on by undetermined signals and quickly achieve higher detection precision. The simulation results clearly show the effectiveness of the method.

Modified WFRFT-based Transform Domain Communication System Incorporating with Spectrum Mismatching

  • Xu, Ruiyang;Da, Xinyu;Liang, Yuan;Hu, Hang
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • 제12권10호
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    • pp.4797-4813
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    • 2018
  • The transform domain communication system (Hereinafter referred to as TDCS) takes on numerous advantages, inclusive of anti-jamming and low probability of detection. Yet its application is confined by the consistent spectrum in the transmitter and receiver, which is not possible in the case of a huge distance exsits between them. In this paper, a TDCS based modified weighted fractional fourier transform (WFRFT) is proposed to solve the problem resulting from spectrum mismatching for TDCS application. The amplitude and phase information are incorporated with the TDCS signals and transmit to the receiver together in the wake of a modified WFRFT. The basic function and the TDCS signals shall be accessible to the receivers in the wake of an inverse WFRFT transform, which make sure that the original information can be demodulated properly. The system's reliability while transmitting signals with different modulation methods and with spectrum mismatching is demonstrated by bit error rate (BER). In the meantime, the constellations of the signals and the BER performances at the eavesdropper demonstrate the proposed system is better secured.

파장 주사 간섭계를 이용한 불연속면의 표면 형상 측정 알고리즘 (An Algorithm for Discontinuous Surface Profile Measurement using Wavelength Scanning Interferometer)

  • 우현구;강철무;조형석
    • 제어로봇시스템학회논문지
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    • 제9권7호
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    • pp.507-514
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    • 2003
  • Inspection and shape measurement of three-dimensional objects are widely needed in industries for quality monitoring and control. Recently the shape measurement using interferometric principle is found to be a successful methodology among other visual or optical technologies. Especially, the measuring method using wavelength scanning interferometer(WSI) has a great advantage in comparison with other conventional jnterferometric methods in that the absolute distance from the reference surface can be directly obtained from the amount of jnterferometric phase change. However, the measurement methods using WSI proposed by other researchers have low measurement resolution so far because they can't measure fractional phase change. To avoid this shortcoming we propose a new algorithm in this paper, which can obtain a small amount of even fractional phase change by sinusoidal function fitting. To evaluate the effectiveness of the proposed sinusoidal function fitting algorithm, a series of measuring experiments are conducted for discontinuously shaped specimens which have various height. The proposed algorithm shows much more enhanced measurement resolution than other existing conventional algorithms such as zero crossing algorithm and Fourier transform algorithm.

OFDM 수신기를 위한 강인한 주파수 옵셋 보정 기법 (A robust frequency offset estimation scheme for an OFDM system)

  • 위정화;황유모;송진호
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2000년도 하계학술대회 논문집 D
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    • pp.3100-3102
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    • 2000
  • In this paper, we propose to a robust frequency offset estimation method of OFDM signals. A carrier frequency offset may be decomposed into an integer multiple of the subcarrier spacing and a residual frequency offset. Fractional part of frequency offset is obtained by using the maximum likelihood estimation(MLE) method. And we use the correlation of the samples at the output of the discrete Fourier transform(DFT) to estimate integer part of frequency offset. The result shows that the estimation frequency offset is almost linear to frequency offset. We propose to an improved estimation error variance of the carrier frequency offset estimation. The proposed estimator has better performance than the conventional ones in terms of error variance and tracking range.

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Physical Layer Security Scheme Based on Polarization Modulation and WFRFT Processing for Dual-polarized Satellite Systems

  • Luo, Zhangkai;Wang, Huali;Zhou, Kaijie
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • 제11권11호
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    • pp.5610-5624
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    • 2017
  • A novel scheme based on polarization modulation and the weighted fractional Fourier transform (PM-WFRFT) is proposed in this paper to enhance the physical layer security of dual-polarized satellite systems. This scheme utilizes the amplitude and phase of the carrier as information-bearing parameters to transmit the normal signal and conceals the confidential information in the carrier's polarization state (PS). After being processed by WFRFT, the characteristics of the transmit signal (including amplitude, phase and polarization state) vary randomly and in nearly Gaussian distribution. This makes the signal very difficult for an eavesdropper to recognize or capture. The WFRFT parameter is also encrypted by a pseudo-random sequence and updated in real time, which enhances its anti-interception performance. Furthermore, to prevent the polarization-based impairment to PM-WFRFT caused by depolarization in the wireless channel, two components of the polarized signal are transmitted respectively in two symbol periods; this prevents any mutual interference between the two orthogonally polarized components. Demodulation performance in the system was also assessed, then the proposed scheme was validated with a simulated dual-polarized satellite system.

크기가 다른 7개의 탄화 텅스텐 구를 이용한 Chirp 소너 시스템의 교정 (Calibration of a Chirp Sonar System Using Seven Tungsten Carbide Spheres of Different Sizes)

  • 이대재;이경훈;정봉규;강희영
    • 한국수산과학회지
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    • 제55권2호
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    • pp.207-217
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    • 2022
  • The accurate calibration of broadband echo sounders is essential for providing high quality acoustic information for fisheries applications. The increased range resolution of broadband echo sounder systems improves the detection and characterization of targets near boundaries, such as fish near the seabed. Most echo sounder systems are calibrated using tungsten-carbide (WC) spheres. For accurate calibration, it is necessary to select WC spheres of optimized diameters used frequently to calibrate echo sounder systems. For these purposes, the measured and simulated target strength (TS) data for seven WC spheres of different sizes were compared across a bandwidth of 100-200 kHz. The frequency-dependent TS pattern for the specular wave measured from two WC spheres using the fractional Fourier transform was also estimated and analyzed. Comparative results are presented for all the spheres and the best average precision of 0.15 dB was obtained for the 22 mm WC sphere.

Dynamic analyses for an axially-loaded pile in a transverse-isotropic, fluid-filled, poro-visco-elastic soil underlain by rigid base

  • Zhang, Shiping;Zhang, Junhui;Zeng, Ling;Yu, Cheng;Zheng, Yun
    • Geomechanics and Engineering
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    • 제29권1호
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    • pp.53-63
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    • 2022
  • Simplified analytical solutions are developed for the dynamic analyses of an axially loaded pile foundation embedded in a transverse-isotropic, fluid-filled, poro-visco-elastic soil with rigid substratum. The pile is modeled as a viscoelastic Rayleigh-Love rod, while the surrounding soil is regarded as a transversely isotropic, liquid-saturated, viscoelastic, porous medium of which the mechanical behavior is represented by the Boer's poroelastic media model and the fractional derivative model. Upon the separation of variables, the frequency-domain responses for the impedance function of the pile top, and the vertical displacement and the axial force along the pile shaft are gained. Then by virtue of the convolution theorem and the inverse Fourier transform, the time-domain velocity response of the pile head is derived. The presented solutions are validated, compared to the existing solution, the finite element model (FEM) results, and the field test data. Parametric analyses are made to show the effect of the soil anisotropy and the excitation frequency on the pile-soil dynamic responses.

Orthogonal variable spreading factor encoded unmanned aerial vehicle-assisted nonorthogonal multiple access system with hybrid physical layer security

  • Omor Faruk;Joarder Jafor Sadiqu;Kanapathippillai Cumanan;Shaikh Enayet Ullah
    • ETRI Journal
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    • 제45권2호
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    • pp.213-225
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    • 2023
  • Physical layer security (PLS) can improve the security of both terrestrial and nonterrestrial wireless communication networks. This study proposes a simplified framework for nonterrestrial cyclic prefixed orthogonal variable spreading factor (OVSF)-encoded multiple-input and multiple-output nonorthogonal multiple access (NOMA) systems to ensure complete network security. Various useful methods are implemented, where both improved sine map and multiple parameter-weighted-type fractional Fourier transform encryption schemes are combined to investigate the effects of hybrid PLS. In addition, OVSF coding with power domain NOMA for multi-user interference reduction and peak-toaverage power ratio (PAPR) reduction is introduced. The performance of $\frac{1}{2}$-rated convolutional, turbo, and repeat and accumulate channel coding with regularized zero-forcing signal detection for forward error correction and improved bit error rate (BER) are also investigated. Simulation results ratify the pertinence of the proposed system in terms of PLS and BER performance improvement with reasonable PAPR.

자기유사 트래픽 특성을 고려한 차등서비스 망의 성능 평가 (Performance Evaluation of DiffServ Networks Considering Self-Similar Traffic Characteristics)

  • 박정숙;전용희
    • 한국통신학회논문지
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    • 제33권5B호
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    • pp.344-355
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    • 2008
  • 본 논문에서는 차등서비스 망의 성능 평가 문제를 다룬다. 성공적인 성능 평가를 위하여 적절한 트래픽 모델에 의하여 네트워크상의 실제 트래픽을 정확히 나타낼 수 있는 능력이 필수 요소이다. 실제 트래픽 측정의 성질에 대한 많은 연구 결과는 웹과 텔넷, P2P 트래픽을 포함하여 인터넷 트래픽에 대한 장기간-의존성을 증명하였다. 장기간 의존성은 자기유사성에 의하여 효과적으로 표현될 수 있다. 본 논문에서는 중첩된 On-Off 소스 모델, FFT-FGN 모델과 RMD 모델에 대한 특성 분석을 기반으로, 중첩된 On-Off 소스 모델을 이용하여 자기유사트래픽 발생기를 설계하고 구현한다. 생성된 트래픽의 자기유사성은 TCPdump 데이터의 패킷 도착 간격을 조사하여 확인하였다. 또한 구현된 트래픽 발생기를 차등서비스 망의 성능평가에 적용하여 On/Off 모델의 $\alpha$ 값에 대한 성능이 영향과, CBQ(Class-Based Queueing)에 의한 EF(Expedited Forwarding)/BE(Best Effort) 클래스 트래픽의 성능을 관찰한다.