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An electrocardiogram (ECG or EKG) is a critical diagnostic tool that records the electrical signals produced by the heart during each heartbeat. This recording is achieved through electrodes placed strategically on the arms, legs, and chest. The electrocardiograph amplifies these signals and produces 12 distinct tracings, offering a comprehensive understanding of the heart's electrical activity.
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In an electrical system with a resistor, voltage and current signals facilitate the measurement of power and energy across the resistor. For a continuous-time signal, the total energy over a time interval is defined as the integral of the square of the signal's magnitude over that interval. Mathematically, this is expressed as:
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A Novel Compressive Sensing Method for Secure and Energy Efficient ECG Signal Transmission Applications.

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    This study presents a novel Compressive Sensing (CS) cryptosystem for secure Electrocardiogram (ECG) signal transmission in IoMT. The system achieves over 50% compression while preserving vital pathological features.

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    Area of Science:

    • Biomedical Engineering
    • Signal Processing
    • Cybersecurity

    Background:

    • Internet of Medical Things (IoMT) requires secure and efficient data transmission.
    • Electrocardiogram (ECG) signals are crucial for cardiac monitoring but generate large datasets.
    • Existing methods may struggle with balancing compression, security, and feature preservation.

    Purpose of the Study:

    • To develop a novel Compressive Sensing (CS)-based cryptosystem for ECG signals in IoMT.
    • To ensure secure and efficient transmission of ECG data, maintaining privacy and integrity.
    • To evaluate the system's performance in terms of compression, reconstruction accuracy, and feature preservation.

    Main Methods:

    • Utilized the sparsity of ECG signals in the wavelet domain.
    • Implemented a CS-based cryptosystem with an additional encryption stage.
    • Evaluated four sensing matrices and three reconstruction algorithms across multiple wavelet families.
    • Simulated using the MIT-BIH Arrhythmia Database.

    Main Results:

    • The Low-Density Parity-Check (LDPC) matrix with the L1 optimization algorithm yielded the highest Quality Score.
    • Achieved a Compression Ratio of up to 50%.
    • Demonstrated excellent preservation of pathological features, even with abnormal heartbeats.
    • Hardware implementation on an FPGA achieved real-time operation (1 MHz) with low power consumption (0.8nJ/sample).

    Conclusions:

    • The proposed CS cryptosystem offers a secure, efficient, and feature-preserving solution for ECG transmission in IoMT.
    • The LDPC matrix and L1 optimization combination is highly effective for ECG signal compression and reconstruction.
    • The system's hardware feasibility on low-resource devices enables practical real-time applications.