Abstract
As discussed in Section 1.1.2, the design of a DSP system basically involves two fundamental tasks, namely, the analysis of the input signal and the design of a processing system to give the desired output. There are several different mathematical tools for carrying out these two tasks. A time-domain approach was presented in Chapter 1, where a sampled input signal was represented by a weighted unit-impulse train and a DSP system was described by either a general difference equation or a unit-impulse response. A frequency-domain approach based on the z-transform was presented in Chapter 2, where an infinite data sequence was converted to an algebraic equation and a DSP system was described compactly by a transfer function; the former enables the frequency spectrum of a signal to be estimated and the latter enables the stability and the frequency response of a DSP system to be assessed.
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© 1996 Trevor J. Terrell and Lik-Kwan Shark
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Terrell, T.J., Shark, LK. (1996). The Discrete Fourier Transform. In: Digital Signal Processing. Palgrave, London. https://doi.org/10.1007/978-1-349-13735-0_3
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DOI: https://doi.org/10.1007/978-1-349-13735-0_3
Publisher Name: Palgrave, London
Print ISBN: 978-0-333-63719-7
Online ISBN: 978-1-349-13735-0
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