• Title/Summary/Keyword: orthogonal functions

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A Single-phase Harmonics Extraction Algorithm Based on the Principle of Trigonometric Orthogonal Functions

  • Yi, Hao;Zhuo, Fang;Wang, Feng;Li, Yu;Wang, Zhenxiong
    • Journal of Power Electronics
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    • v.17 no.1
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    • pp.253-261
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    • 2017
  • For a single-phase active power filter (APF), designing a more efficient algorithm to guarantee accurate and fast harmonics extraction with a lower computing cost is still a meaningful topic. The common idea still employs a IRPT-based Park transform, which was originally designed for 3-phase applications. Therefore, an additional virtual signal generation (VSG) link is necessary when it is used in the single-phase condition. This method, with virtual signal generation and transform, is obviously not the most efficient one. Regarding this problem, this paper proposes a novel harmonics extraction algorithm to further improve efficiency. The new algorithm is based on the principle of trigonometric orthogonal functions (TOF), and its mathematical principle and physical meaning are introduced in detail. Its implementation and superiority in terms of computation efficiency are analyzed by comparing it with conventional methods. Finally, its effectiveness is well validated through detailed simulations and laboratory experiments.

Application of the Empirical Orthogonal Functions on the GRACE Spherical Harmonic Solutions

  • Eom, Jooyoung;Seo, Ki-Weon
    • Journal of the Korean earth science society
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    • v.39 no.5
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    • pp.473-482
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    • 2018
  • During the period of 2002 to 2017, the Gravity Recovery And Climate Experiment (GRACE) had observed time-varying gravity changes with unprecedented accuracy. The GRACE science data centers provide the monthly gravity solutions after removing the sub-monthly mass fluctuation using geophysical models. However, model misfit makes the solutions to be contaminated by aliasing errors, which exhibits peculiar north-south stripes. Two conventional filters are used to reduce the errors, but signals with similar spatial patterns to the errors are also removed during the filtering procedure. This would be particularly problematic for estimating the ice mass changes in Western Antarctic Ice Sheet (WAIS) and Antarctic Peninsula (AP) due to their similar spatial pattern to the elongated north-south direction. In this study, we introduce an alternative filter to remove aliasing errors using the Empirical Orthogonal Functions (EOF) analysis. EOF can decompose data into different modes, and thus is useful to separate signals from noise. Therefore, the aliasing errors are effectively suppressed through EOF method. In particular, the month-to-month mass changes in WAIS and AP, which have been significantly contaminated by aliasing errors, can be recovered using EOF method.

Performance of Wavelet Packet Multicarrier Modulation Systems with Narrowband Interference (웨이블릿 패킷 다중반송파 변조 시스템의 협대역 간섭에 대한 성능)

  • Won, Yu-Jun;Seo, Bo-Seok
    • The Journal of the Korea Contents Association
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    • v.8 no.4
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    • pp.79-85
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    • 2008
  • These days, orthogonal frequency division multiplexing (OFDM) transmission method is widely used for broadband communication systems. The OFDM, which uses sine waves as orthogonal basis functions, is one of the orthogonal waveform modulation techniques. In this paper, we investigate a wavelet packet modulation method which uses wavelet packets instead of sine waves as the basis functions. The wavelet packets may have different patterns in two dimensional time-frequency domain, and we can design the packets appropriate for the channel environments with much flexibility. In this paper, we investigate the characteristics of the wavelet packet modulation as one of the multicarrier modulation methods, And we illustrate by simulations that narrowband interference can be reduced effectively by control the bandwidth of the wavelet packets.

Blind Source Separation for OFDM with Filtering Colored Noise and Jamming Signal

  • Sriyananda, M.G.S.;Joutsensalo, Jyrki;Hamalainen, Timo
    • Journal of Communications and Networks
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    • v.14 no.4
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    • pp.410-417
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    • 2012
  • One of the premier mechanisms used in extracting unobserved signals from observed mixtures in signal processing is employing a blind source separation (BSS) algorithm. Orthogonal frequency division multiplexing (OFDM) techniques are playing a prominent role in the sphere of multicarrier communication. A set of remedial solutions taken to mitigate deteriorative effects caused within the air interface of OFDM transmission with aid of BSS schemes is presented. Four energy functions are used in deriving the filter coefficients. Energy criterion functions to be optimized and the performance is justified. These functions together with iterative fixed point rule for receive signal are used in determining the filter coefficients. Time correlation properties of the channel are taken advantage for BSS. It is tried to remove colored noise and jamming components from themixture at the receiver. Themethod is tested in a slow fading channel with a receiver containing equal gain combining to treat the channel state information values. The importance is that, these are quite low computational complexity mechanisms.

A Realization of Biquadratic Voltage Transfer Functions Using Three CCIIs

  • Higashimura, Masami;Fukui, Yutaka
    • Proceedings of the IEEK Conference
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    • 2000.07a
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    • pp.151-154
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    • 2000
  • This paper proposes a novel circuit configuration realizing biquadratic voltage transfer functions using three CCIIs and six passive elements. The circuits realize high-pass, band-pass, low-pass, band-stop and all-pass functions by selecting input voltages. The circuit has low passive sensitivities and permits orthogonal adjustment of quality factor Q and cutoff angular frequency $\omega$$\sub$o/. The effects of non-ideal CCIIs on biquadratic transfer functions are also given.

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Nonlinear System Control Using Othogonal Neural Network (직교 신경망을 이용한 비선형 시스템의 제어)

  • Kim, Sung-Sik;Lee, Young-Seog;Ahn, Dae-Chan;Seo, Bo-Hyeok
    • Proceedings of the KIEE Conference
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    • 1997.07b
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    • pp.397-399
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    • 1997
  • This paper presents an Orthogonal Neural Network based on orthogonal functions and applies the network to nonlinear system control. The Orthogonal Neural Network doesn't have the problems of traditional feedforward neural networks such as the determination of initial weights and the numbers of layers and processing elements. In this paper, Orthogonal Neural Network is modified already introduced one by input transformation. The results show that the modified neural network has the better performance than existing one and performance of controller using this network is good.

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Image Compression Using Integer Lapped Orthogonal Transform (정수 직교 겹침 변환을 이용한 이미지 압축)

  • Lee, Sang-Ho;Jang, Jun-Ho;Kim, Young-Seop;Lim, Sang-Min
    • Journal of the Semiconductor & Display Technology
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    • v.8 no.3
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    • pp.45-50
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    • 2009
  • Recently, block-based transforms, like discrete cosine transform (DCT), have been widely used in image and video coding standards, but block-based transforms have a weak point with blocking effect. However, the integer lapped orthogonal transform (ILOT) is a tool for block-based coding with bases functions that overlap near blocks, so it has a strong point against blocking effect. Although it has slightly higher arithmetic complexity than the DCT, the coding gain is significantly higher with much less blocking artifacts. This paper introduces the integer lapped orthogonal transforms and discrete cosine transform. And we compare the performance of DCT with ILOT which is proposed a new efficient method for image coding applications.

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Development of an Optimization Algorithm Using Orthogonal Arrays in Discrete Design Space (직교배열표를 이용한 이산공간에서의 최적화 알고리듬 개발)

  • Lee, Jeong-Uk;Park, Jun-Seong;Lee, Gwon-Hui;Park, Gyeong-Jin
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.25 no.10
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    • pp.1621-1626
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    • 2001
  • The structural optimization have been carried out in the continuous design space or in the discrete design space. Methods fur discrete variables such as genetic algorithms , are extremely expensive in computational cost. In this research, an iterative optimization algorithm using orthogonal arrays is developed for design in discrete space. An orthogonal array is selected on a discrete des inn space and levels are selected from candidate values. Matrix experiments with the orthogonal array are conducted. New results of matrix experiments are obtained with penalty functions leer constraints. A new design is determined from analysis of means(ANOM). An orthogonal array is defined around the new values and matrix experiments are conducted. The final optimum design is found from iterative process. The suggested algorithm has been applied to various problems such as truss and frame type structures. The results are compared with those from a genetic algorithm and discussed.

Separation-hybrid models for simulating nonstationary stochastic turbulent wind fields

  • Long Yan;Zhangjun Liu;Xinxin Ruan;Bohang Xu
    • Wind and Structures
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    • v.38 no.1
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    • pp.1-13
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    • 2024
  • In order to effectively simulate nonstationary stochastic turbulent wind fields, four separation hybrid (SEP-H) models are proposed in the present study. Based on the assumption that the lateral turbulence component at one single-point is uncorrelated with the longitudinal and vertical turbulence components, the fluctuating wind is separated into 2nV-1D and nV1D nonstationary stochastic vector processes. The first process can be expressed as double proper orthogonal decomposition (DPOD) or proper orthogonal decomposition and spectral representation method (POD-SRM), and the second process can be expressed as POD or SRM. On this basis, four SEP-H models of nonstationary stochastic turbulent wind fields are developed. In addition, the orthogonal random variables in the SEP-H models are presented as random orthogonal functions of elementary random variables. Meanwhile, the number theoretical method (NTM) is conveniently adopted to select representative points set of the elementary random variables. The POD-FFT (Fast Fourier transform) technique is introduced in frequency to give full play to the computational efficiency of the SEP-H models. Finally, taking a long-span bridge as the engineering background, the SEP-H models are compared with the dimension-reduction DPOD (DR-DPOD) model to verify the effectiveness and superiority of the proposed models.