Titlebook: Digital Signal Processing and Spectral Analysis for Scientists; Concepts and Applica Silvia Maria Alessio Textbook 2016 Springer Internatio

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Discrete-Time Signals and Systemsnse. Finite-impulse-response (FIR) and infinite-impulse-response (IIR) systems are defined. Linear convolution and the linear constant-coefficient-difference equation (LCCDE) are introduced to express the input-output relation of discrete-time systems.

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FIR Filter Designr type but not on specifications, and an adjustable factor, with coefficients to be determined according to specifications. The most flexible and optimum design method for LP/GLP FIR filters is then described: this is the minimax method, which ensures the filter meets specifications with the minimum

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Non-stationary Spectral Analysisbe made discrete in time and scale; we will discuss the most popular discretization scheme. Next we will show how an average power spectrum estimate, the global power spectrum (GWS), can be derived from CWT by averaging over time, and how significance tests for the spectral features detected in CWT

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Discrete Wavelet Transform (DWT)ons. After allowing for the necessary conditions that the filters of the bank must satisfy, primarily biorthogonality or orthogonality, a number of degrees of freedom remain available to design different wavelet systems suited for different purposes. A real-world example of signal DWT decomposition