A Theory for Multiresolution Signal Decomposition: The Wavelet Representation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Wavelets in Optical Communications
Computing in Science and Engineering
Wavelet packet modulation for orthogonally multiplexedcommunication
IEEE Transactions on Signal Processing
Frequency-shift-invariant orthonormal wavelet packetrepresentations
IEEE Transactions on Signal Processing
Wavelet packet division multiplexing and wavelet packet designunder timing error effects
IEEE Transactions on Signal Processing
Code division multiplexing lightwave networks based upon optical code conversion
IEEE Journal on Selected Areas in Communications
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We present compact integrable architectures to perform the discrete wavelet transform (DWT) and the wavelet packet (WP) decomposition of an optical digital signal, and we show that the combined use of planar lightwave circuits (PLC) technology and multiresolution analysis (MRA) can add flexibility to current multiple access optical networks. We furnish the design guidelines to synthesize wavelet filters as two-port lattice-form planar devices, and we give some examples of optical signal denoising and compression/decompression techniques in the wavelet domain. Finally, we present a fully optical wavelet packet division multiplexing (WPDM) scheme where data signals are waveform-coded onto wavelet atom functions for transmission, and numerically evaluate its performances.