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Titlebook: Rudiments of Signal Processing and Systems; Tom J. Moir Textbook 2022 The Editor(s) (if applicable) and The Author(s), under exclusive lic

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Adaptive Filters,ns on the original idea by B. Widrow and co-workers back in the early days of this technology. A huge literature has emerged, and this chapter will cover some of the salient points with real world examples where necessary.
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Textbook 2022nals and systems books on the market. Since most undergraduate courses begin with signals and systems and then move on in later years to DSP, I felt a need to combine the two into one book that was concise yet not too overburdening. This means that students need only purchase one book instead of two
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Introduction and Basic Signal Properties,stive in that many books have been written on the history of technology but is specific to many of the topics that are studied herein. Following this, the basic signal types are described which are commonly met in the real world, and their mathematical descriptions and properties given.
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FIR Wiener Filters Using Lower Triangular Toeplitz Matrices, solution of Diophantine equations when the additive noise is coloured. The lower triangular Toeplitz (LTT) method is ideally suited to this sort of problem because polynomials or transfer functions can be substituted with LTT matrices. This greatly simplifies the computation of the solution.
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Frequency-Domain Properties of Signals,Baptiste Fourier whose early work has enabled engineers to view waveforms in terms of their frequency content. We examine the Fourier series for periodic signals and the Fourier Transform for aperiodic signals.
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