Signals and Systems Using MATLAB Luis F. Chaparro

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Presentation transcript:

Signals and Systems Using MATLAB Luis F. Chaparro

Chapter 5 - Frequency Analysis The Fourier Transform

What is in this chapter? From Fourier series to Fourier transform Existence of Fourier transform Fourier and Laplace transforms Time frequency relations and Fourier transform Spectral representation of periodic and aperiodic signals Modulation and signal transmission Convolution and Filtering 3

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Full-wave rectifier Low-pass filter 22

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What have we accomplished? Unification of frequency representation of periodic and aperiodic signals Frequency response of LTI systems Duality in time and frequency Convolution and Filtering Connection of Fourier series and Laplace transform Inverse time frequency relation Where do we go from here? Application of Laplace analysis and transient response Application of Fourier analysis and steady state response Filter design Application of time-frequency relation in sampling theory 32