The rising dependence on telemedicine and wearable well-being devices has made the safe transmission of sensitive biomedical information, like Electrocardiogram (ECG) signals, a critical concern. In this paper, we propose a Fibonacci-based security calculation to guarantee the secrecy and integrity of ECG signals during transmission. The proposed algorithm leverages the unique properties of the Fibonacci succession to make a lightweight and effective encryption instrument custom-made to the continuous prerequisites of ECG information. By coordinating Fibonacci changes with conventional cryptographic strategies, the proposed strategy accomplishes upgraded security with insignificant computational above, making it reasonable for asset-obliged devices. The algorithm is evaluated regarding encryption strength, computational proficiency, and capacity to endure cryptographic attacks. Trial results exhibit that the Fibonacci-based approach gets ECG signals and preserves the nature of the first clinical information, guaranteeing both security and exactness in remote health monitoring systems with the Signal to Noise greater than 50 dB.