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RESEARCH PRODUCT

Introduction: Periodic Signals and Filters

Amir AverbuchPekka NeittaanmäkiValery A. ZheludevValery A. Zheludev

subject

Discrete mathematicsSpline (mathematics)Signal processingSpline waveletImage processingDigital filterMathematics

description

In this chapter we briefly outline some well-known facts about Discrete-time periodic signals, their transforms and periodic digital filters and filter banks. For details we refer to the classical textbook A. V. Oppenheim and R. W. Schafer (Discrete-Time Signal Processing, Prentice Hall, New York, 2010, [3]) and Volume I of our book (Averbuch, Neittaanmaki and Zheludev, Spline and Spline Wavelet Methods with Applications to Signal and Image Processing, Periodic Splines, vol. 1 (Springer, Berlin, 2014)) [1] Throughout the volume, unless other indicated, \(N=2^{j}, \;j\in \mathbb {N}\).

https://doi.org/10.1007/978-3-319-92123-5_1