Advanced topics in signal processing
A Theory for Multiresolution Signal Decomposition: The Wavelet Representation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Ten lectures on wavelets
Signals, systems, and transforms
Signals, systems, and transforms
Wavelets and subband coding
Multi-iteration wavelet zero-tree coding for image compression
Signal Processing - Special issue on emerging techniques for communication terminals
Wavelets and filter banks: theory and design
IEEE Transactions on Signal Processing
Embedded image coding using zerotrees of wavelet coefficients
IEEE Transactions on Signal Processing
The wavelet transform, time-frequency localization and signal analysis
IEEE Transactions on Information Theory
Prioritized DCT for compression and progressive transmission of images
IEEE Transactions on Image Processing
Constrained ECG compression algorithm using the block-based discrete cosine transform
Digital Signal Processing
Electrocardiogram Signal Compression Using Beta Wavelets
Journal of Mathematical Modelling and Algorithms
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The modified embedded zero-tree wavelet (MEZW) compression algorithm for the one-dimensional signal was originally derived for image compression based on Shapiro's EZW algorithm. It is revealed that the proposed codec is significantly more efficient in compression and in computation than previously proposed ECG compression schemes. The coder also attains exact bit rate control and generates a bit stream progressive in quality or rate. The EZW and MEZW algorithms apply the chosen threshold values or the expressions in order to specify that the significant transformed coefficients are greatly significant. Thus, two different threshold definitions, namely percentage and dyadic thresholds, are used, and they are applied for different wavelet types in biorthogonal and orthogonal classes. In detail, the MEZW and EZW algorithms results are quantitatively compared in terms of the compression ratio (CR) and percentage root mean square difference (PRD). Experiments are carried out on the selected records from the MIT-BIH arrhythmia database and an original ECG signal. It is observed that the MEZW algorithm shows a clear advantage in the CR achieved for a given PRD over the traditional EZW, and it gives better results for the biorthogonal wavelets than the orthogonal wavelets.