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Improving optical wavelet transform by optical separable wavelet transform

Guofan Jin

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Abstract

For improving optical wavelet transform(OWT),optical separable wavelet transform(OSWT) is proposed.Based on the analysis of the necessary condition for OWT,using the cascade algorithm and 2D separable wavelet transform scheme,discrete approximation sequence of scaling and wavelet functions was computed for optical implementation.The advantages of OSWT are described via comparison with OWT and 2D discrete separable wavelet transform.

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What this paper is about

For improving optical wavelet transform(OWT),optical separable wavelet transform(OSWT) is proposed.Based on the analysis of the necessary condition for OWT,using the cascade algorithm and 2D separable wavelet transform scheme,discrete approximation sequence of scaling and wavelet functions was computed for optical implementation.The advantages of OSWT are described via comparison with OWT and 2D discrete separable wavelet transform.

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Available abstract

For improving optical wavelet transform(OWT),optical separable wavelet transform(OSWT) is proposed.Based on the analysis of the necessary condition for OWT,using the cascade algorithm and 2D separable wavelet transform scheme,discrete approximation sequence of scaling and wavelet functions was computed for optical implementation.The advantages of OSWT are described via comparison with OWT and 2D discrete separable wavelet transform.

Key concepts: Discrete wavelet transform, Second-generation wavelet transform, Stationary wavelet transform, Harmonic wavelet transform, Wavelet packet decomposition, Wavelet, Lifting scheme, Wavelet transform

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