• Title/Summary/Keyword: Modified orthogonal Golay codes

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Ultrasound Imaging Based On Simultaneous Multiple Transmit Focusing Using Orthogonal Modified Golay Code (직교하는 변형된 골레이(Golay) 코드를 이용한 동시 다중 집속 기반의 초음파 영상 기법)

  • Kim, B.H.;Jeong, Y.K.;Song, T.K.
    • Proceedings of the KIEE Conference
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    • 2001.11c
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    • pp.187-190
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    • 2001
  • A new ultrasound imaging technique based on simultaneous multiple transmit focusing using orthogonal modified Golay codes is presented. modified Golay codes are used to increase signal-to-noise-ratio(SNR) and maximize the transmit power efficiency(TPE). Conventional Golay codes consist of a pair of complementary codes with same length and can be compressed into a delta-like signal due to their complementary property. In the present work, two modified Golay codes focused at different depths are transmitted at the same time, which are mutually orthogonal. On receive, these orthogonal modified Golay codes are separately compressed into two short pulses and individually focused. These two focused beam are combined to form a frame of image with improved lateral resolution. Computer simulations are performed to verity the proposed method improves the lateral resolution of image compared with the conventional echo system.

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A Study on Cross-correlation Control Schemes on Walsh and Golay Codes Based on the Orthogonal Transformation and BER Performance Evaluation of Asynchronous CDMA System Using the Modified Codes (직교변환에 의한 Walsh 및 Golay 코드의 상호상관 제어방식과 수정된 코드를 사용한 비동기 CDMA 시스템의 비트오율 성능에 관한 연구)

  • Lee, Won-Chang;Kim, Myoung-Jin
    • Journal of the Institute of Convergence Signal Processing
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    • v.9 no.4
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    • pp.304-312
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    • 2008
  • Orthogonal codes like Walsh and Golay codes may have large correlation value when they are not synchronized, hence they are seldom used in asynchronous CDMA systems. Wysocki[1] showed that by multiplying the original Walsh-Hadamard matrix with an orthogonal transformation matrix the resultant matrix sustains orthogonality between row vectors and their cross-correlation can be reduced. Soberly and Wysocki[2] proposed similar scheme on Golay codes. This implies that using the proper orthogonal transformation cross-correlation of Walsh and Golay codes can be reduced, and the transformed codes can be used for user separation in the CDAM reverse link. In this paper we discuss cross-correlation related parameters which affect the performance of an asynchronous CDMA link, and we investigate the correlation properties of the transformed codes. When we designed orthogonal transformation matrices for Walsh and Golay codes, we minimized the maximum value of aperiodic cross-correlation of the codes ($ACC_{max}$) or the mean square value of the aperiodic cross-correlation($R_{cc}$) with preserving the orthogonality of the modified codes. We also evaluate the asynchronous CDMA system that uses the transformed Walsh and Golay codes.

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Multiple Transmit Focusing Method With Modified Orthogonal Golay Codes for Ultrasound Imaging (초음파 영상에서 변형된 직교 골레이 코드를 이용한 동시 다중 송신 집속 기법)

  • 김배형;송태경
    • Journal of Biomedical Engineering Research
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    • v.24 no.3
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    • pp.217-231
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    • 2003
  • Coded excitation with complementary Golay sequences is an effective means to increase the SNR and penetration of ultrasound imaging. in which the two complementary binary codes are transmitted successively along each scan-line, reducing the imaging frame rate by half. This method suffers from low frame rate particularly when multiple transmit focusing is employed, since the frame rate will be further reduced in proportion to the number of focal zones. In this paper. a new ultrasound imaging technique based on simultaneous multiple transmit focusing using modified orthogonal Golay codes is proposed to improve lateral resolution with no accompanying decrease in the imaging frame rate, in which a pair of orthogonal Golay codes focused at two different focal depths are transmitted simultaneously. On receive, these modified orthogonal Golay codes are separately compressed into two short pulses and individually focused. These two focused beams are combined to form a frame of image with improved lateral resolution. The Golay codes were modified to improve the transmit power efficiency (TPE) for practical imaging. Computer simulations and experimental results show that the proposed method improves significantly the lateral resolution and penetration of ultrasound imaging compared with the conventional method.