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What is Wavelet Analysis

Handbook of Research on Trends in the Diagnosis and Treatment of Chronic Conditions
A wavelet is a kind of mathematical function used to divide a given function into different frequency components and study each component with a resolution that matches its scale. A wavelet transform is the representation of a function by wavelets. The wavelets are scaled and translated copies (known as “daughter wavelets”) of a finite-length or fast-decaying oscillating waveform (known as the “mother wavelet”). Wavelet transforms have advantages over traditional Fourier transforms for representing functions that have discontinuities and sharp peaks.
Published in Chapter:
Trends of ECG Analysis and Diagnosis
Swanirbhar Majumder (NERIST (Deemed University), India) and Saurabh Pal (University of Calcutta, India)
DOI: 10.4018/978-1-4666-8828-5.ch009
Abstract
Any biomedical signal has the specialty in terms of the remoteness and nature of their source as an advantage over other natural signals. The analysis of biomedical signal plays a significant role in medical, and to be exact cardiological decision making, provided, the subject information is accurate and reliable. Normally experienced and trained medical practitioners, are known to study and know them better, but in this age of technology computerized expert system are better for long term continuous monitoring and automatic decision making. This led to evolution of biomedical engineering as a separate wing where parts of engineering under automatic signal processing and analysis studies are done. ECG being the most vital physiological signal, its acquisition technique, noise and artifacts elimination methodologies are discussed in this chapter. A brief description on ECG and its usage as biometric and analysis of Atrial Fibrillation is presented.
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Prototype Based Classification in Bioinformatics
Method used in signal processing to analyse a signal by means of frequency and local information. Thereby the signal is encoded in a representation of wavelets, which are specific kinds of mathematical functions. The Wavelet encoding allows the representation of the signal at different resolutions, the coefficients contain frequency information but can also be localized in the signal.
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Interference Microscopy for Cellular Studies
Computational technique of data series analysis based on wavelet transform. Wavelets are time-localised oscillating functions. Wavelet transform is a convolution of the signal with the dilated and translated copies of the wavelet function. It resolves spectral properties of the signal in time domain.
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