A Theory for Multiresolution Signal Decomposition: The Wavelet Representation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Ten lectures on wavelets
Floating-to-fixed-point conversion for digital signal processors
EURASIP Journal on Applied Signal Processing
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This paper presents some results on the implementation of the DWT (DWT-1) trough the lifting scheme by using general purpose processor SIMD extensions. We perform image analysis and reconstruction up to 3 levels of decomposition, using the DWT factored into lifting steps for the 9/7 wavelet filter pair. The algorithm was implemented in "C" code and evaluated in terms of performance and image degradation. Three approaches were used: floating-point representation, integer fixed-point representation and SIMD extensions integer code. The results obtained when compared to floating-point code implementation, indicate that the processing time for fixed-point is around 54% and SIMD extensions code is around 24.2%. The average PSNR results are also better for fixed-point and SIMD extensions than with floating-point code implementation.