Signals and Systems Using MATLAB by Luis Chaparro (Auth.)

By Luis Chaparro (Auth.)

This new textbook in signs and structures offers a pedagogically wealthy method of what can typically be a mathematically dry topic. With gains like historic notes, highlighted universal errors, and purposes in controls, communications, and sign processing, Chaparro is helping scholars delight in the usefulness of the strategies defined within the ebook. each one bankruptcy incorporates a part with MatLab applications.

  • Pedagogically wealthy advent to signs and structures utilizing historic notes, stating "common mistakes", and touching on thoughts to life like examples all through to inspire studying the material
  • Introduces either non-stop and discrete structures early, then reports every one (separately) in additional intensity later
  • Extensive set of labored examples and homework assignments, with functions to controls, communications, and sign processing throughout
  • Provides overview of all of the historical past math essential to research the subject
  • MatLab functions in each chapter

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Example text

10 A phasor can be thought of as a vector, representing a complex number, rotating around the polar plane at a certain frequency in radians/second. The projection of such a vector onto the real axis gives a cosine with a certain amplitude and phase. This problem will show the algebra of phasors which would help you with some of the trigonometric identities that are hard to remember.

M extension. 1 Numerical Computations The following examples of scripts and functions are intended to illustrate different features of numerical computations—numerical data in and numerical data out—using MATLAB. 1 for a basic set of variables and functions, and use help to provide details. Examples and more explanation on how to use MATLAB are provided by excellent reference books, such as [3]. 1 MATLAB as a Calculator In many respects MATLAB can be considered a sophisticated calculator. To illustrate this consider the following script where computations with complex numbers, conversion of complex numbers from one form into another, and plotting of complex numbers are done.

To find the ratio of the amplitudes of the input and the output sinusoids, or to determine the phase different between the input and the output sinusoids the Lissajous figures are used. The differences in amplitude and phase can be measured using an oscilloscope for which we put the input in the horizontal sweep and the output in the vertical sweep, giving figures from which we can find the differences in amplitude and phase. Two situations are simulated in the following script, one where there is no change in amplitude but the phase changes from zero to 3π/4, while in the other case the amplitude decreases as indicated and the phase changes in the same way as before.

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