Signals.and.Systems. - Chapter 1 Elementary Signals dv-dt 2(t 2 1 2 3 4 5 6(t 7 7 t(s 1(V s 1 1 0 2 t 1 Figure 1.23 Plot of the derivative of the

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Chapter 1 Elementary Signals 1 18 Signals and Systems with MATLAB Computing and Simulink Modeling, Fourth Edition Copyright © Orchard Publications Figure 1.23. Plot of the derivative of the waveform of Figure 1.21 We observe that a negative spike of magnitude occurs at , and two positive spikes of magnitude occur at , and . These spikes occur because of the discontinuities at these points. It would be interesting to observe the given signal and its derivative on the Scope block of the Simulink * model of Figure 1.24. They are shown in Figure 1.25. Figure 1.24. Simulink model for Example 1.9 The waveform created by the Signal Builder block is shown in Figure 1.25. * A brief introduction to Simulink is presented in Appendix B. For a detailed procedure for generating piece-wise linear functions with Simulink’s Signal Builder block, please refer to Introduction to Simulink with Engineering Applications, ISBN 0 9744239 7 1 1 1 1 2 1 2345 6 7 0 2 δ t1 + () dv dt ----- Vs δ t2 δ t7 t s 2t 1 = 1t 2 = =

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Signals and Systems with MATLAB Computing and Simulink Modeling, Fourth Edition 1 19 Copyright © Orchard Publications Higher Order Delta Functions Figure 1.25. Piece wise linear waveform for the Signal Builder block in Figure 1.24 The waveform in Figure 1.25 is created with the following procedure: 1. We open a new model by clicking on the new model icon shown as a blank page on the left cor- ner of the top menu bar. Initially, the name Untitled appears on the top of this new model. We save it with the name Figure_1.25 and Simulink appends the .mdl extension to it. 2. From the Sources library, we drag the Signal Builder block into this new model. We also drag the Derivative block from the Continuous library, the Bus Creator block from the Com- monly Used Blocks library, and the Scope block into this model, and we interconnect these blocks as shown in Figure 1.24. 3. We double click on the Signal Builder block in Figure 1.24, and on the plot which appears as a square pulse, we click on the y axis and we enter Minimum: 2.5 , and Maximum: 3.5 . Like- wise we right click anywhere on the plot and we specify the Change Time Range at Min time: 2 , and Max time: 8 .
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This note was uploaded on 11/20/2009 for the course EE EE 102 taught by Professor Bar during the Fall '09 term at UCLA.

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Signals.and.Systems. - Chapter 1 Elementary Signals dv-dt 2(t 2 1 2 3 4 5 6(t 7 7 t(s 1(V s 1 1 0 2 t 1 Figure 1.23 Plot of the derivative of the

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