Titlebook: Hands-on Signals and Systems Theory; Kajetana Marta Snopek Textbook 2024 The Editor(s) (if applicable) and The Author(s), under exclusive

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Sampling and Frequency Representation of Discrete-Time Signals,s twice the maximal frequency of an analog signal. Normalization of the angular frequency in a spectrum of the sampled signal will allow us to define the Discrete-time Fourier Transform. On the other hand, we will show that the Discrete Fourier Transform is a result of discretization of the frequency domain.

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Analysis of Discrete-Time Systems in Frequency Domain,cs. We will present ideal and real filters of different types (low-pass, high-pass, band-pass, and band-stop) and show how to calculate the response of a system to the known input signal, including constant and harmonic excitations. A special section will be devoted to the frequency transformation method used in digital filter design.

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,–Transformation in Discrete–Time LTI Systems,r and present formulas for transfer functions of FIR and IIR digital filters as well as different system interconnections presented in Chap. .. We also show the relation between the transfer function and the frequency response function defined in Chap. .. Then we present some basic criteria for the . of digital filters.

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