Abstract
Filter design is one of the perennial topics in signal processing. FIR filters are often preferred for their simple implementation and robustness, so they are an appropriate subject for this first chapter devoted to applications. All the design methods presented here are based on positive trigonometric polynomials and the associated optimization tools; they are optimal for 1D filters and practically optimal for 2D filters. This is in contrast with many other methods that approximate the optimum, either from a desire to obtain rapidly the solution or from a lack of instruments that give optimality. We treat here three basic design problems: 1D filters, 2D filters, and deconvolution. For each problem, we consider several design specifications. In the 2D (and multidimensional) case, at the time of apparition, the methods were very different from those present in the literature.
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Dumitrescu, B. (2017). Design of FIR Filters. In: Positive Trigonometric Polynomials and Signal Processing Applications. Signals and Communication Technology. Springer, Cham. https://doi.org/10.1007/978-3-319-53688-0_5
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DOI: https://doi.org/10.1007/978-3-319-53688-0_5
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