Contents
What are spectral signals?
By Fourier theory, any waveform can be represented by a summation of a (possibly infinite) number of sinusoids, each with a particular amplitude and phase. Such a representation is referred to as the signal’s spectrum (or it’s frequency-domain representation).
What can spectral analysis be used for?
Spectral analysis is used for solving a wide variety of practical problems in engineering and science, for example, in the study of vibrations, interfacial waves and stability analysis. The weighting function in the decomposition is a density of spectral components or spectral density function.
How is spectral analysis of the speech signal done?
Spectral analysis using WT is visualized through a scalogram which is the equivalent of a spectrogram in the time-frequency domain. WT can decompose the speech signal into a number of new signals, each one with different resolutions both in time and frequency.
How are pure sine waves used in spectral analysis?
Spectral analysis of signals composed of pure sine waves is theoretically straightforward. In physiological signals interpretation of spectra requires caution because these time series are rarely stationary and usually contain both nonperiodic and periodic components.
How is the spectral content of a signal determined?
Spectral analysis considers the problem of determining the spectral content (i.e., the distribution of power over frequency) of a time series from a fnite set of measurements, by means of either nonparametric or parametric techniques.
What do you need to know about spectral analysis?
This chapter provides a fundamental background to the subject of spectral analysis including several LabView programs that you can run on your own computer to illustrate the techniques and problems. You will need to read and master this material before coming to lab.
How is spectral analysis used in dynamic positron emission tomography?
Spectral analysis is a technique that can be used for the kinetic analysis of dynamic positron emission tomography scans at the voxel level. It is based on the definition of basis functions to describe the expected kinetic behavior of the tracer in the tissue.