By Gabriele D'Antona
Electronic sign Processing for size structures: conception and functions covers the theoretical in addition to the sensible matters which shape the root of the fashionable DSP-based tools and dimension tools. It covers the fundamentals of DSP idea prior to discussing the severe points of DSP distinct to dimension science.
* techniques sign processing via a special dimension technological know-how perspective
* Covers either conception and state of the art functions, from the sampling theorem to the layout of FIR/IIR filters
* contains vital issues, for instance, difficulties that come up whilst sampling periodic indications and the connection among the sampling expense and the SNR
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Additional resources for Digital signal processing for measurement systems: theory and applications
Sequence obtained by means of a correct sampling of the signal in Fig. 1 The original signal s(t) can be easily recognized in the sequence of sampled data represented in Fig. 2. If now the same signal s(t) is sampled with a much lower sample rate of only 10 samples/period, as shown in Fig. 3, the original signal can be no longer recognized in the sequence of sampled signals. 3. Sequence obtained by means of an incorrect sampling of the signal in Fig. 1 This intuitive approach is confirmed by the considerations, exposed in the previous chapter 2, concerning the Fourier transform of a sequence.
38) In the frequency domain, the Fourier transform of g(t) is no longer given by a sequence of Dirac impulses, because of the finite duration of g(t) itself. 39) and is graphically represented in Fig. 628 ms. 11. Fourier transform of the sampling distribution when the observation interval has finite duration. 628 ms is represented. It can be immediately recognized that G(jΩ) is a continuous function and is again periodic with period 2π/Ts in Ω. 39) is a real function. 40) 50 Chapter 3 In order to analyse the relationship between P(jΩ) and S ct (jΩ), G(jΩ) should be analysed.
Again from an intuitive point of view, the original information is still available in the sequence of sampled data if the modifications introduced by the sampling operation are somehow additive and redundant with respect to the original information and do not interfere with the original information in a destructive way. This consideration is compatible with the fact that the Fourier transform of a sequence is periodic if, as it will be shown later, the different periods of the spectrum are separated replicas of the Signal transformation from the continuous time to the discrete time domain 35 spectrum of the sampled signal.