Signals and Systems Using MATLAB Luis F. Chaparro

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Presentation transcript:

Signals and Systems Using MATLAB Luis F. Chaparro

Chapter 4 - Frequency Analysis The Fourier Series

What is in this chapter? Eigenfunctions and LTI systems Complex and trigonometric Fourier Series Line spectrum: distribution of power over frequency Laplace and Fourier Series Properties of Fourier Series Response of LTI systems to periodic signals 3

Eigenfunctions revisited 4

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Application in communications 21

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input sinusoid ss output sinusoid of same frequency 23

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magnitude and phase at harmonic frequency input output 25

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What have we accomplished? Sinusoidal representation of periodic signals Eigenfunction property of LTI systems Response of LTI systems to periodic signals Connection of Fourier series and Laplace transform Inverse time frequency relation Where do we go from here? Extension of Fourier representation for aperiodic signals Unification of spectral theory for periodic and aperiodic signals Convolution and frequency response of LTI systems Connection of Laplace and Fourier transforms 30

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