Computing Methods in Applied Sciences and Engineering, 1977. by R. Glowinski, J.L. Lions

By R. Glowinski, J.L. Lions

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Read Online or Download Computing Methods in Applied Sciences and Engineering, 1977. Third International Symposium, December 5-9, 1977, IRIA LABORIA, Institut de Recherche d`Informatique ... in Physics) (English and French Edition) PDF

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Additional info for Computing Methods in Applied Sciences and Engineering, 1977. Third International Symposium, December 5-9, 1977, IRIA LABORIA, Institut de Recherche d`Informatique ... in Physics) (English and French Edition)

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0 = Ts t ... –Fs Fs = f |X( f )| Xsh(t) S/H-sampled signal ... t ... 19 Sample-and-Hold signal modelled as impulse-train sampling followed by convolution with a rectangular pulse. frequency content (bandwidth) of B Hz, can be recovered from its samples provided that the sampling speed Fs>2B samples per second. 20. 19. 20 A simplified sample-and-hold circuit diagram. 2 Quantisation For digital signal processing, continuous-amplitude samples from the sample-and-hold are quantised and mapped into n-bit binary digits.

In this case, the analog signal can be recovered by passing the sampled signal through an analog low-pass filter with a cut-off frequency of Fs. If the sampling frequency is less than 2Fs, then the adjacent repetitions of the spectrum overlap and the original spectrum cannot be recovered. The distortion, due to an insufficiently high sampling rate, is irrevocable and is known as aliasing. This observation is the basis of the Nyquist sampling theorem which states: a band-limited continuous-time signal, with a highest 24 Introduction Time domain Frequency domain x(t) X(f) 0 B –B t f 2B × * Impulse-train-sampling function ...

Springer-Verlag, New York. B. L. (1958) An Introduction to the Theory of Random Signals and Noise. McGraw-Hill, New York. EPHRAIM Y. (1992) Statistical Model Based Speech Enhancement Systems. Proc. IEEE, 80, 10, pp. 1526–1555. G. (1963) Theory of Motion of Heavenly Bodies. Dover, New York. G. (1968) Information Theory and Reliable Communication. Wiley, New York. HAYKIN S. (1991) Adaptive Filter Theory. Prentice-Hall, Englewood Cliffs, NJ. HAYKIN S. (1985) Array Signal Processing. Prentice-Hall, Englewood Cliffs, NJ.

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