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Wavelet transform and its optical implementations

Yunlong Sheng, Jing Chen, Harold Szu

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Abstract

This paper describes the basic concept of the wavelet transform and proposes optical implementation of the wavelet transform using an optical correlator. The one-dimensional wavelet transform is implemented in a two-dimensional multichannel correlator with a bank of one-dimensional strip filters. In the case of the Cos-Gaussian wavelets the wavelet transform filters are the optically recorded or computer generated transmittance masks. Experimental results show detection of the transitions of the input signal by the optical wavelet transform.

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What this paper is about

This paper describes the basic concept of the wavelet transform and proposes optical implementation of the wavelet transform using an optical correlator. The one-dimensional wavelet transform is implemented in a two-dimensional multichannel correlator with a bank of one-dimensional strip filters. In the case of the Cos-Gaussian wavelets the wavelet transform filters are the optically recorded or computer generated transmittance masks. Experimental results show detection of the transitions of the input signal by the optical wavelet transform.

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Available abstract

This paper describes the basic concept of the wavelet transform and proposes optical implementation of the wavelet transform using an optical correlator. The one-dimensional wavelet transform is implemented in a two-dimensional multichannel correlator with a bank of one-dimensional strip filters. In the case of the Cos-Gaussian wavelets the wavelet transform filters are the optically recorded or computer generated transmittance masks. Experimental results show detection of the transitions of the input signal by the optical wavelet transform.

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

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