MATHEMATICAL EXPRESSIONS IN FOURIER TRANSFORM BASED ANALYSIS OF BIOMEDICAL SIGNALS

Abstract

In many modern scientific issues, the Fourier transform is a commonly utilised analytical tool. The application of this mathematical technique is probably best recognised for its use in linear time-invariant system analysis. Nevertheless, the Fourier transform is emphasised as a versatile tool for tackling problems in general. Its relevance lies in the fact that any particular relationship can be viewed from an entirely different perspective. Visualising a function and its Fourier transform in your mind at the same time could lead you to the answer to a lot of difficulties. When studying the frequency domain behaviour of biological signals, Fourier transform (FT) is utilised. To obtain the signal in the frequency domain, one can use the FFT command in MATLAB. One of the most important tools for decomposing complex signals into their component frequencies and amplitudes is the Fourier transform. The k-space MR signals are frequency- and phase-encoded, and the Fourier transform resolves these signals during MR picture generation. For future diagnosis and clinical monitoring, biomedical signals such as blood pressure, electrocardiogram (ECG), and photoplethysmographic (PPG) signals must be analysed. The literature made heavy use of transforms for processing and analysis, such as the Fourier transform (FT) and the Wavelet transform (WT).