Abstract
A basic operation of spectr is filterin. In this introductory chapter, processing of one- and two-dimensional signals by digital filters and filter banks is outlined. A polyphase implementation of multirate filtering is described. The application of filtering with IIR filters, whose transfer functions are rational, is described. Bases and frames in the signals’ space that are generated by perfect reconstruction filter banks are discussed. The Butterworth filters, which are used in further constructions, are introduced.
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© 2016 Springer International Publishing Switzerland
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Averbuch, A.Z., Neittaanmäki, P., Zheludev, V.A. (2016). Introduction: Digital Filters and Filter Banks. In: Spline and Spline Wavelet Methods with Applications to Signal and Image Processing. Springer, Cham. https://doi.org/10.1007/978-3-319-22303-2_2
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DOI: https://doi.org/10.1007/978-3-319-22303-2_2
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Publisher Name: Springer, Cham
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Online ISBN: 978-3-319-22303-2
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