Abstract / truncated to 115 words (read the full abstract)

Most signal processing methods were developed for continuous signals. Digital devices, such as the computer, process only discrete signals. This dissertation proposes new techniques to accurately define and efficiently implement an important signal processing method---the time--frequency distribution (TFD)---using discrete signals. The TFD represents a signal in the joint time--frequency domain. Because these distributions are a function of both time and frequency they, unlike traditional signal processing methods, can display frequency content that changes over time. TFDs have been used successfully in many signal processing applications as almost all real-world signals have time-varying frequency content. Although TFDs are well defined for continuous signals, defining and computing a TFD for discrete signals is problematic. This work overcomes ... toggle 10 keywords

algorithms – aliasing – analytic signal – computational complexity – discrete signal processing – electroencephalogram (eeg) – newborn – sampling – time–frequency distribution (tfd) – wigner–ville distribution (wvd)

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