Coronavirus has the greatest effect on the human lungs. This is why lungs of patients with COVID- 19 require constant medical monitoring. One of the tools for the lungs condition monitoring is based on the wireless pulse oximeters connected to smartphones. There is an attempt to analyze the types of pulse oximeters, their technical characteristics, principles of operation and basic requirements for these measuring instruments in the article. According to this study, the most effective pulse oximeters for 24/7 monitoring of lung function were selected. Principles of pulse oximeter functioning and mathematical basis of its operation have been described. The criteria for pulse oximeter selection have been determined, and comparative analysis of pulse oximeters with wireless communication has been conducted.

Data acquisition and processing in cyber-physical system for remote monitoring of the human functional state have been considered in the paper. The data processing steps, strategies for multi-step forecasting evaluation metrics and machine learning algorithms to be implemented have been analysed and described. What is important, this way it will be possible to track the condition of the sick and response to the health changes in advance.

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The paper proposes smartphone applications, that allow doctors to continuously observe the main organ of patients, affected by the coronavirus, -the lungs. The applications are based on wireless devices and designed in a way to monitor the state of patients' lungs round-the-clock and regardless of their location. Therefore, created applications allow the doctor continuously and remotely (e.g. from their office) see the level of oxygen in the patient's blood. These data from the pulse oximeter with a wireless connection will be send via the patient's smartphone to the server, where the doctor will receive information about the patient's condition and can decide on further treatment. With these applications, doctors will be able to monitor the condition of their patients, who are in hospital wards as well as at home, on observation or outpatient treatment. What is important, this way it will be possible to track the condition of the sick not only with Covid-19 but also with other diseases, for example, asthma, vascular diseases or cancer.