Titlebook: Digital Filters; Basics and Design Dietrich Schlichthärle Textbook 2011Latest edition Springer-Verlag Berlin Heidelberg 2011

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Continuous-Time Systems,e systems. For a certain class of systems which have the properties of linearity and time-invariance (LTI systems), this theory provides relatively simple mathematical relationships. In the present textbook, we restrict ourselves to the consideration of filters which possess these two properties.

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Analog Filters,sign of digital filters with related characteristics. For each of these types, the equations are derived to determine filter coefficients which meet the tolerance scheme of a desired frequency response. Some tables of filter coefficients can be found in the appendix which allow the filter design for

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Discrete-Time Systems, numbers. Having in mind a physical meaning behind a discrete-time signal, the physical quantity can always be recovered by multiplying the numbers of the sequence by a reference value of this quantity. This is exactly what digital-to-analog converters do. In the following, the input sequence of the

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Design of IIR Filters,types. While a given frequency response is approximated in case of an IIR filter by a rational fractional transfer function of . with poles and zeros (5.30), the FIR filter is simply characterised by zeros and a polynomial of . (5.2).

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Oversampling and Noise Shaping,d in Chap. 4 that a certain effort is required for filtering in the continuous-time domain in order to avoid errors in the transition process from the analog to the discrete-time world and vice versa. The complexity of the involved filters increases more, the better the frequency range 0 ? |?| < ?./