1. Signals and Systems Using MATLAB Luis F. Chaparro

2. Chapter 5 - Frequency Analysis The Fourier Transform

3. 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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22. Full-wave
rectifier
Low-pass
filter 22

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32. 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