• Title/Summary/Keyword: Walsh

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Hierarchical Image Encryption System Using Orthogonal Method (직교성을 이용한 계층적 영상 암호화)

  • Kim, Nam-Jin;Seo, Dong-Hoan;Lee, Sung-Geun;Shin, Chang-Mok;Cho, Kyu-Bo;Kim, Soo-Joong
    • Korean Journal of Optics and Photonics
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    • v.17 no.3
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    • pp.231-239
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    • 2006
  • In recent years, a hierarchical security architecture has been widely studied because it can efficiently protect information by allowing an authorized user access to the level of information. However, the conventional hierarchical decryption methods require several decryption keys for the high level information. In this paper, we propose a hierarchical image encryption using random phase masks and Walsh code having orthogonal characteristics. To decrypt the hierarchical level images by only one decryption key, we combine Walsh code into the hierarchical level system. For encryption process, we first perform a Fourier transform for the multiplication results of the original image and the random phase mask, and then expand the transformed pattern to be the same size and shape of Walsh code. The expanded pattern is finally encrypted by multiplying with the Walsh code image and the binary phase mask. We generate several encryption images as the same encryption process. The reconstruction image is detected on a CCD plane by a despread process and Fourier transform for the multiplication result of encryption image and hierarchical decryption keys which are generated by Walsh code and binary random phase image. Computer simulations demonstrate that the proposed technique can decrypt hierarchical information by using only one level decryption key image and it has a good robustness to the data loss such as random cropping.

Synchronous Optical Fiber Code-Division Multiple-Access Networks Using Concatenated Codes for Channel Interference Cancellation

  • Lam, Pham Manh;Sripimanwat, Keattisak
    • Proceedings of the IEEK Conference
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    • 2002.07a
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    • pp.536-539
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    • 2002
  • The use of concatenated codes in noncoherent synchronous optical fiber CDMA networks is proposed. The concatenated code sequences are generated using balanced Walsh code sequences and Walsh code sequences. The selection of balanced Walsh code sequences is presented and the design of fully programmable transmitter and receiver is reported. The analysis of the system BER performance shows that multiple-access interference is completely eliminated and the BER performance of the proposed system is better than that of the non-coherent synchronous optical fiber CDMA system using optical orthogonal codes with double hard-limiters.

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A study on data compression rates of $\mu$PCM signals in walsh domain ($\mu$PCM 신호에 대한 Walsh영역에서의 데이타 압축률 고찰)

  • 김장복;박규태
    • The Journal of the Acoustical Society of Korea
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    • v.2 no.1
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    • pp.41-47
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    • 1983
  • 고속 Walsh-hadamard 변환방식을 사용하여 근사적으로 조기적인 신호의 μPCM 데이터를 압축 할 수 있음을 확인하였으며 최대 압축율은 기준 SQNR을 30dB로 할 경우 6 이상임을 보였다. 또한 decion level을 변화시킬 때 SQNR 변화를 조사하였으며 시스템 특성에 다라 decion level의 최적화를 얻을 수 있었다. 또한 양자화 레벨을 조정하여 SQNR을 검토한 바 대체로 선형적임을 나타내었다.

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A Study on Korean Speech Analysis using Walsh Transform (Walsh변환을 이용한 한국어 숫자음 음성분석에 관한 연구)

  • 김계현;김준현
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.37 no.4
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    • pp.251-256
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    • 1988
  • This work describes a speech analysis of Korean number ('1'-'10') which are spoken by several speakers using Fast Walsh Transform(FWHT) method. FWHT includes only addition and subtraction operations, therefore faster and needs less memory than FFT(Fast Fourier Transfifrm) or LPC(Linear Predictive Coding) analysis method. We have investigated that FWHT method can find speaker independent feature(which represents same cue about some word independent of different speakers) The results of this experiment, the 70% of same words(korean number '2')which spoken by several speakers have had slmilar patterns.

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Non-linearity Testing of D/A Converters Applying Walsh Function (Walsh 함수를 적용한 D/A 컨버터의 비선형 시험)

  • Lee, Hae-Ki;Lee, Chun-Mo
    • Proceedings of the KIEE Conference
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    • 2002.06a
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    • pp.161-165
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    • 2002
  • The paper presents a diagnostic tool for analyzing the bit intermodulation in D/A converter. Bit intermodulation cause linearity errors which degrade the performance of the converter. A linear transformation of the Walsh transform of the integrated non-linearity diagram is shown to be sufficient to extract the bit intermodulation terms and their noise sensitivity. Practical applicability of the proposed method is shown by measurement.

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Novel Spectrally Efficient UWB Pulses Using Zinc and Frequency-Domain Walsh Basis Functions

  • Chaurasiya, Praveen;Ashrafi, Ashkan;Nagaraj, Santosh
    • ETRI Journal
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    • v.35 no.3
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    • pp.397-405
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    • 2013
  • In this paper, two sets of spectrally efficient ultra-wideband (UWB) pulses using zinc and frequency-domain Walsh basis functions are proposed. These signals comply with the Federal Communications Commission (FCC) regulations for UWB indoor communications within the stipulated bandwidth of 3.1 GHz to 10.6 GHz. They also demonstrate high energy spectral efficiency by conforming more closely to the FCC mask than other UWB signals described in the literature. The performance of these pulses under various modulation techniques is discussed in this paper, and the proposed pulses are compared with Gaussian monocycles in terms of spectral efficiency, autocorrelation, crosscorrelation, and bit error rate performance.

A Study on the Analysis and Optimal Control of Nonlinear Systems via Walsh Function (월쉬함수에 의한 비선형계의 해석 및 최적제어에 관한 연구)

  • Kim, Jin-Tae;Kim, Tae-Hun;Lee, Myeong-Gyu;An, Du-Su
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.49 no.7
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    • pp.354-362
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    • 2000
  • This paper presents the new adaptive optimal scheme for the nonlinear systems, which is based on the Picard's iterative approximation and fast Walsh transform. It is well known that the Walsh function approach method is very difficult to apply for the analysis and optimal control of nonlinear systems. However, these problems can be easily solved by the improvement of the previous adaptive optimal scheme. The proposed method is easily applicable to the analysis and optimal control of nonlinear systems.

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Hierarchical Optimal Control of Large Scale System via Single Term Walsh Series (Walsh함수 단일항전개에 의한 대규모 시스템의 계층별 최적제어)

  • Ahn, Doo-Soo;Lee, Han-Seok;Lee, Hae-Ki
    • Proceedings of the KIEE Conference
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    • 1992.07a
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    • pp.276-278
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    • 1992
  • This paper presents a method of hierachical optimal control for time invariant large scale systems via Single Term Walsh Series. It is well known that the optimal control of a large scale system with quadratic performance criteria often involves the determination of time varying feedback gain matrix by solving the matrix Riccati differential equation, which is usually quite difficult. Therefore, in order to solve the problem, this paper is introduced to Single Term Walsh Series. The advantages of proposed method are simple and attractive for the control of large scale system in computation.

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Three-Level Optimal Control of Nonlinear Systems Using Fast Walsh Transform (고속월쉬변환을 이용한 비선형 시스템의 3계층 최적제어)

  • Kim, Tai-Hoon;Shin, Seung-Kwon;Cho, Young-Ho;Lee, Han-Seok;Lee, Jae-Chun;Ahn, Doo-Soo
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.50 no.11
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    • pp.505-513
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    • 2001
  • This paper presents the new three-level optimal control scheme for the large scale nonlinear systems, which is based on fast walsh transform. It is well known that optimization for nonlinear systems leads to the resolution of a nonlinear two point boundary value problem which always requires a numerical iterative technique for their solution. However, Three-level costate coordination can avoid two point boundary condition in subsystem. But this method also has the defect that must solve high order differential equation in intermediate level. The proposed method makes use of fast walsh transform, therefore, is simple in computation because of solving algebra equation instead of differential equation.

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Simplification of Transfer Function Via Walsh Function in Frequency Domain (주파수 영역에서 Walsh 함수에 의한 전달함수의 간단화)

  • Doo-Soo Ahn
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.31 no.8
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    • pp.33-38
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    • 1982
  • This paper deals with the simplification of the transfer function in a frequency domain, viz. the integral of the squared errors between the original and the simplified model is minimized and the latter is estimated by the Walsh function. It tries to minimize the errors between the frequency responses of the two functions. This method is compared with the existing method by means of a numercal example. The frequency response of this simplified model approximates closely to that of the original model. The proposed method is simpler in analysis and easier in implementation than the existing methods. Though the Walsh function can be easily generated with the discrete values, it has errors because its zero crossings are not continuous. This method aims at the reduction of the errors in the real parts and the imaginary parts of the two functions by dividing into the more sub-intervals, and selecting the reduced-order model according to the response of the model. As a result, it can be applied for the simplification of higher order functions into lower order functions and for the design of control systems.

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