Orthogonal Wavelet

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M. Ikehara - One of the best experts on this subject based on the ideXlab platform.

  • A recursive Orthogonal Wavelet device
    Electronics and Communications in Japan Part Iii-fundamental Electronic Science, 1994
    Co-Authors: H. Yasuoka, M. Ikehara, Hiroyuki Isobe
    Abstract:

    A design for a one-dimensional (1-D), 2-D recursive Orthogonal Wavelet consisting of a parallel connection of a delay and allpass network is presented. There have been some methods to obtain Wavelet functions from perfect reconstruction filter banks following an investigation by Mallat of the relation between Wavelet transform and filter banks. These methods are based mostly on an FIR filter. A method based on IIR filters has never been investigated. IIR digital filter has fewer orders than FIR digital filters to realize the same specification and satisfies the Orthogonal condition of the Orthogonal Wavelet by using both parallel connection of some delays and an allpass filter. Furthermore, a maximum number of zeros are placed at aliasing frequencies in the lowpass filter as a way of obtaining the regularity of the Wavelet. Finally, some design samples of discrete scaling and Wavelet functions are presented.

  • 2-dimensional recursive Orthogonal Wavelet transformation
    Proceedings of ICASSP '94. IEEE International Conference on Acoustics Speech and Signal Processing, 1994
    Co-Authors: H. Yasuoka, M. Ikehara
    Abstract:

    The design of a 2-dimensional (2-D) recursive Orthogonal Wavelet based on iterated filter banks is investigated. To obtain the Orthogonal Wavelet, we use the parallel connection of some delays and a 2-D allpass filter. In this case, a pair of digital filters with Orthogonality is obtained structurally and digital filters with arbitrarily orders can be designed. Furthermore a maximum number of zeros is put at aliasing frequencies in the lowpass filter to obtain the regularity of the Wavelet. Design examples of discrete scaling and Wavelet functions are presented.

  • ICASSP (4) - 2-dimensional recursive Orthogonal Wavelet transformation
    Proceedings of ICASSP '94. IEEE International Conference on Acoustics Speech and Signal Processing, 1994
    Co-Authors: H. Yasuoka, M. Ikehara
    Abstract:

    The design of a 2-dimensional (2-D) recursive Orthogonal Wavelet based on iterated filter banks is investigated. To obtain the Orthogonal Wavelet, we use the parallel connection of some delays and a 2-D allpass filter. In this case, a pair of digital filters with Orthogonality is obtained structurally and digital filters with arbitrarily orders can be designed. Furthermore a maximum number of zeros is put at aliasing frequencies in the lowpass filter to obtain the regularity of the Wavelet. Design examples of discrete scaling and Wavelet functions are presented. >

Yang Chao - One of the best experts on this subject based on the ideXlab platform.

  • Decision Feedback Blind Equalization Algorithm Based on Orthogonal Wavelet Packet Transform
    Computer Simulation, 2020
    Co-Authors: Yang Chao
    Abstract:

    For overcoming effect of the underwater acoustic channel on communication quality, Orthogonal Wavelet Packet Transform based Decision Feedback blind Equalization algorithm (WPT-DFE) was proposed, on the basis of analyzing Orthogonal Wavelet packet transform theory and the feature of decision feedback blind equalization algorithm. In this proposed WPT-DFE algorithm, correlativity of signals is lowed by Orthogonal Wavelet packet transform and iterative formula of forwardback weight vectors is modified by using Orthogonal Wavelet packet transform. The proposed WPT-DFE algorithm outperforms Orthogonal Wavelet Transform based Decision Feedback blind Equalization algorithm (WT-DFE) and traditional Decision Feedback blind Equalization algorithm based on Constant Modulus Algorithm (CMA-DFE) in convergent rate, tracking performance, and Mean Square Error (MSE). The efficiency of the proposed WPT-DFE algorithm is proved by computer simulation with underwater acoustic channels.

  • Odd Symmetry Error function Blind Equalization Algorithm Based on Orthogonal Wavelet Transform
    Computer Simulation, 2020
    Co-Authors: Yang Chao
    Abstract:

    Aiming at the slow convergence rate and big mean square error of Constant Modulus Algorithm(CMA),Orthogonal Wavelet transform based odd symmetry error function blind equalization algorithm blind equalization algorithm was proposed,on the basis of Orthogonal Wavelet transform based blind equalizer structure and characteristics of odd symmetry error function,the convergence rate of the proposed algorithm could be improved by normalized Orthogonal Wavelet transform and its mean square error could be reduced by odd symmetry of error function and the convergence rate was further improved via using the performance of variable step size.Simulation tests with underwater acoustic channel indicate that the proposed algorithm has not only faster convergence rate but also less mean square error.

  • Design and Simulation of Super-Exponential Iterative Blind Equalizer Based on Orthogonal Wavelet Transform
    Computer Simulation, 2020
    Co-Authors: Yang Chao
    Abstract:

    For greatly overcoming the slow convergent rate and higher Mean Square Error(MSE) of Constant Modulus Algorithm(CMA), a Super-Exponential Iterative blind equalizer Based on Orthogonal Wavelet Transform(WT-SEI) was proposed on the basis of analyzing the futures of Orthogonal Wavelet transform and Super-Exponential Iterative(SEI) algorithm.The convergent rate of the proposed algorithm could be improved and its MSE could be reduced using the de-correlation ability of Orthogonal Wavelet transform and the whiten ability of SEI algorithm.The efficiency of the proposed algorithm is proved by computer simulation with time-varying channels.

  • blind equalization algorithms based on Orthogonal Wavelet transform and feed forward neural network
    Information and Electronic Engineering, 2010
    Co-Authors: Yang Chao
    Abstract:

    In order to overcome the slow convergence rate and bigger mean square error of Feed-forward Neural Network(FNN) blind equalization algorithm,a FNN blind equalization algorithm based on Orthogonal Wavelet Transform(OWT) was proposed.In the proposed algorithm,Orthogonal Wavelet transform was prosecuted on input signal of FNN equalizer to reduce the correlation of the input signal by using the de-correlation ability of Wavelet transform.Accordingly,the proposed algorithm could improve the convergence rate and reduce the mean square error.The simulation results of underwater acoustic channels showed that the proposed algorithm outperformed FNN blind equalization algorithm in the convergence rate and mean square error.

  • Super-Exponential Iterative Blind Equalization Algorithm Based on Orthogonal Wavelet Packet Transform
    2008 9th International Conference on Signal Processing, 2008
    Co-Authors: Yang Chao
    Abstract:

    In order to overcome the slow convergence rate and large mean square error (MSE) of constant modulus algorithm (CMA), an equalizer and its output are expressed by a family of Orthogonal Wavelet packet functions. Then, a super-exponential iterative blind equalization algorithm based on Orthogonal Wavelet packet transform (WPT-SEI) is proposed, via the analyzing of the futures of Wavelet packet transform and super-exponential iterative algorithm (SEI). The convergence rate of the proposed algorithm can be improved via full using the de-correlation ability of Orthogonal Wavelet packet transform and the whiten ability of SEI. And the computational complexity increases a litter for the fast Wavelet packet transform. The efficiency of the proposed algorithm is proved by computer simulation in underwater acoustic channels.

H. Yasuoka - One of the best experts on this subject based on the ideXlab platform.

  • A recursive Orthogonal Wavelet device
    Electronics and Communications in Japan Part Iii-fundamental Electronic Science, 1994
    Co-Authors: H. Yasuoka, M. Ikehara, Hiroyuki Isobe
    Abstract:

    A design for a one-dimensional (1-D), 2-D recursive Orthogonal Wavelet consisting of a parallel connection of a delay and allpass network is presented. There have been some methods to obtain Wavelet functions from perfect reconstruction filter banks following an investigation by Mallat of the relation between Wavelet transform and filter banks. These methods are based mostly on an FIR filter. A method based on IIR filters has never been investigated. IIR digital filter has fewer orders than FIR digital filters to realize the same specification and satisfies the Orthogonal condition of the Orthogonal Wavelet by using both parallel connection of some delays and an allpass filter. Furthermore, a maximum number of zeros are placed at aliasing frequencies in the lowpass filter as a way of obtaining the regularity of the Wavelet. Finally, some design samples of discrete scaling and Wavelet functions are presented.

  • 2-dimensional recursive Orthogonal Wavelet transformation
    Proceedings of ICASSP '94. IEEE International Conference on Acoustics Speech and Signal Processing, 1994
    Co-Authors: H. Yasuoka, M. Ikehara
    Abstract:

    The design of a 2-dimensional (2-D) recursive Orthogonal Wavelet based on iterated filter banks is investigated. To obtain the Orthogonal Wavelet, we use the parallel connection of some delays and a 2-D allpass filter. In this case, a pair of digital filters with Orthogonality is obtained structurally and digital filters with arbitrarily orders can be designed. Furthermore a maximum number of zeros is put at aliasing frequencies in the lowpass filter to obtain the regularity of the Wavelet. Design examples of discrete scaling and Wavelet functions are presented.

  • ICASSP (4) - 2-dimensional recursive Orthogonal Wavelet transformation
    Proceedings of ICASSP '94. IEEE International Conference on Acoustics Speech and Signal Processing, 1994
    Co-Authors: H. Yasuoka, M. Ikehara
    Abstract:

    The design of a 2-dimensional (2-D) recursive Orthogonal Wavelet based on iterated filter banks is investigated. To obtain the Orthogonal Wavelet, we use the parallel connection of some delays and a 2-D allpass filter. In this case, a pair of digital filters with Orthogonality is obtained structurally and digital filters with arbitrarily orders can be designed. Furthermore a maximum number of zeros is put at aliasing frequencies in the lowpass filter to obtain the regularity of the Wavelet. Design examples of discrete scaling and Wavelet functions are presented. >

Chao Yang - One of the best experts on this subject based on the ideXlab platform.

  • Decision Feedback Blind Equalization Algorithm Based on Momentum and Orthogonal Wavelet Packet Transform
    2009 5th International Conference on Wireless Communications Networking and Mobile Computing, 2009
    Co-Authors: Chao Yang
    Abstract:

    Towards the nonlinear underwater acoustic channels with the severe linear distortion, based on the fast de-correlation characteristic of Wavelet packet transform, a decision feedback blind equalization algorithm based on momentum and Orthogonal Wavelet packet transform (MWPT-DFE) is proposed, which is derived by revising the iteration equation of forward weight vector for decision feedback structure blind equalizer. Comparing with normal decision feedback blind equalization algorithm (DFE) and the decision feedback blind equalization algorithm based on Orthogonal Wavelet Packet transform (WPT-DFE), the new algorithm has fast convergence, good performance for tracking and smaller MSE. The efficiency of the proposed algorithm is proved by computer simulation in underwater acoustic channels.

  • Orthogonal Wavelet Transform based Sign Decision Dual-mode blind equalization Algorithm
    2008 9th International Conference on Signal Processing, 2008
    Co-Authors: Chao Yang
    Abstract:

    Aiming at the slow convergence rate and the high mean square error of constant modulus algorithm(CMA), a new Orthogonal Wavelet transform based sign decision dual-mode blind equalization algorithm(WT-SDDA) is proposed. In the proposed algorithm, Orthogonal Wavelet transform based constant modulus algorithm (WT-CMA) is integrated with Orthogonal Wavelet transform based stop-and-go changeable modulus blind equalization algorithm (WT-SG-CMA), and the switch process is decided by the sign decision. Simulation tests with underwater acoustic channel shows that the proposed WT-SDDA algorithm outperforms the CMA and the WT-CMA in the convergence rates and residual mean square error and that it has the faster convergence rate than the WT-SG-CMA under condition of the same residual error.

Y. Takei - One of the best experts on this subject based on the ideXlab platform.

  • Design of IIR Orthogonal Wavelet filter banks using lifting scheme
    IEEE Transactions on Signal Processing, 2006
    Co-Authors: Xi Zhang, Wei Wang, T. Yoshikawa, Y. Takei
    Abstract:

    The lifting scheme is well known to be an efficient tool for constructing second generation Wavelets and is often used to design a class of biOrthogonal Wavelet filter banks. For its efficiency, the lifting implementation has been adopted in the international standard JPEG2000. It is known that the Orthogonality of Wavelets is an important property for many applications. This paper presents how to implement a class of infinite-impulse-response (IIR) Orthogonal Wavelet filter banks by using the lifting scheme with two lifting steps. It is shown that a class of IIR Orthogonal Wavelet filter banks can be realized by using allpass filters in the lifting steps. Then, the design of the proposed IIR Orthogonal Wavelet filter banks is discussed. The designed IIR Orthogonal Wavelet filter banks have approximately linear phase responses. Finally, the proposed IIR Orthogonal Wavelet filter banks are applied to the image compression, and then the coding performance of the proposed IIR filter banks is evaluated and compared with the conventional Wavelet transforms

  • ICIP - Design of IIR Orthogonal Wavelet filter banks using lifting scheme
    2004 International Conference on Image Processing 2004. ICIP '04., 2004
    Co-Authors: Xi Zhang, Wei Wang, T. Yoshikawa, Y. Takei
    Abstract:

    The lifting scheme is well-known to be an efficient tool for constructing second generation Wavelets and is often used to design a class of biOrthogonal Wavelet filter banks. For its efficiency, the lifting implementation has been also adopted in the international standard JPEG2000. It is known that the Orthogonality of Wavelets is an important property for many applications. This paper presents how to implement two band IIR Orthogonal Wavelet filter banks according to the lifting scheme. It is shown that a class of IIR Orthogonal Wavelet filter banks can be realized by using allpass filters in the lifting steps. Thus, the proposed filter banks have approximate linear phase responses. Finally, the proposed IIR Orthogonal Wavelet filter banks are applied to image lossless compression and the coding performance is investigated.

  • Lifting implementation of IIR Orthogonal Wavelet filter banks using allpass filters
    The 2004 47th Midwest Symposium on Circuits and Systems 2004. MWSCAS '04., 2004
    Co-Authors: Xi Zhang, Wei Wang, T. Yoshikawa, Y. Takei
    Abstract:

    The lifting scheme is well-known to be an efficient tool for constructing second generation Wavelets, and is often used to design a class of biOrthogonal Wavelet filter banks. For its efficiency, the lifting implementation has been also adopted in the international standard JPEG2000. It is known that the Orthogonality of Wavelets is an important property for many applications. This paper presents how to implement two band IIR Orthogonal Wavelet filter banks according to the lifting scheme. It is shown that a class of IIR Orthogonal Wavelet filter banks can be realized by using allpass filters in the lifting steps. Thus, the proposed filter banks have approximate linear phase responses. Finally, the proposed IIR Orthogonal Wavelet filter banks are applied to image lossless compression, and the coding performance is investigated.

  • Design of IIR Orthogonal Wavelet filter banks using lifting scheme
    2004 International Conference on Image Processing 2004. ICIP '04., 2004
    Co-Authors: Xi Zhang, Wei Wang, T. Yoshikawa, Y. Takei
    Abstract:

    The lifting scheme is well-known to be an efficient tool for constructing second generation Wavelets and is often used to design a class of biOrthogonal Wavelet filter banks. For its efficiency, the lifting implementation has been also adopted in the international standard JPEG2000. It is known that the Orthogonality of Wavelets is an important property for many applications. This paper presents how to implement two band IIR Orthogonal Wavelet filter banks according to the lifting scheme. It is shown that a class of IIR Orthogonal Wavelet filter banks can be realized by using allpass filters in the lifting steps. Thus, the proposed filter banks have approximate linear phase responses. Finally, the proposed IIR Orthogonal Wavelet filter banks are applied to image lossless compression and the coding performance is investigated.

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