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An effective coding technique for the compression of one-dimensional signals using wavelet transforms.

Mohammed Abo-Zahhad¹, Bashar A Rajoub

¹Electronics Engineering Department, Hijjawi Faculty for Engineering Technology, Yarmouk University, Irbid, Jordan. zahad@yu.edu.jo

Medical Engineering & Physics

|June 14, 2002

Summary

This study presents a novel wavelet transform technique for efficient one-dimensional signal compression. The method achieves high compression ratios for electrocardiogram (ECG) signals with minimal data loss.

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Area of Science:

Signal Processing
Data Compression
Biomedical Engineering

Background:

Wavelet transforms are effective for signal analysis and compression.
Efficient compression of biomedical signals like ECG is crucial for storage and transmission.
Existing compression methods may not optimally preserve signal integrity.

Purpose of the Study:

To introduce an effective wavelet transform-based compression technique for 1D signals.
To develop a new coding algorithm for compressing the binary stream of wavelet coefficients.
To evaluate the technique's performance on normal and abnormal ECG signals.

Main Methods:

Generating a binary stream encoding wavelet coefficient structure (zero/nonzero locations).
Developing a novel run-length encoding-like algorithm for binary stream compression.
Assessing compression ratio (CR) and percent root-mean square difference (PRD) for performance evaluation.

Main Results:

Achieved compression ratios of 19:1 and 45:1 for ECG signals.
Maintained low percent root-mean square differences of 1% and 2.8%.
Evaluated the impact of signal length, thresholding, wavelet filters, and finite word length on compression quality.

Conclusions:

The proposed wavelet transform technique offers effective compression for 1D signals, particularly ECG.
The novel coding algorithm demonstrates high compression ratios with acceptable signal reconstruction fidelity.
The technique's performance is influenced by various parameters, requiring careful selection for optimal results.