Signals and Systems Using MATLAB
Luis F. Chaparro
2
Chapter 6, 7 - Application to
Control and Communications
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What is in this chapter?
Cascade, parallel and feedback connections of LTI systems
Application of Laplace transform to classical control
Application of Fourier transform to communications
Introduction to analog filter design
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Application to Control, Communications and Filter Design
5
System connections and block diagrams Cascade
Parallel
Feedback
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Loading in cascading
LTI and LTV cascading
7
Application to Classical Control
plant plant
controller controller
disturbance reference
signal
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9
car model
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Transient Analysis
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12
13
14
15
16
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18
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Application to Communications
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Quadrature Amplitude Modulation (QAM)
Frequency-division Multiplexing
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Angle Modulation
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Narrow-band FM
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Wide-band FM
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26
Full-wave rectifier
Low-pass
filter
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28
29
30
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Analog Filter Design
LPF Design
Example: denoising
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Filter Specifications --- low-pass
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Butterworth low-pass filter design
Design
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Chebyshev low-pass filter design
Design
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38
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What have we accomplished?
Discrete-time signals and systems Application of Fourier analysis to sampling
Where do we go from here?
Illustrated application of Laplace analysis to classical control
Introduced the design of analog filters
Showed application of Fourier steady-state analysis to communications
Application to control and communications
Transform methods and connection with Laplace
Design of discrete filters