Signals and Systems
Using MATLAB
Luis F. Chaparro
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Chapter 9 - Discrete-time
Signals and Systems
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What is in this chapter?
Discrete-time signals
Periodicity, symmetry, energy and power
Basic discrete-time signals
Discrete-time LTI systems
Recursive and non-recursive systems
Difference representation of systems
Convolution sum
Causality and stability
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Discrete-time Signals
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Periodic and Aperiodic Signals
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Discrete-time Periodic Sinusoids
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Finite Energy and Finite Power Discrete-time Signals
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Even and Odd Discrete-time Signals
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Basic Discrete-time Signals
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Discrete-time Sinuoids
Discrete frequency
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Discrete-time Unit-step and Unit-sample Signals
Generic representation of discrete-time signals
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Discrete-time Systems
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Recursive and Non-recursive Discrete-time Systems
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Convolution Sum
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Linear and Non-linear Filtering
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Causality of Discrete-time Systems
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BIBO Stability of LTI Discrete-time Systems
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What have we accomplished?
Z-transform analysis
Where do we go from here?
Obtained similar theory for discrete- and continuous-time signals and systems with distinct differences
Discrete frequency is finite but circular
Sampling period determines radian frequency of discrete signals
Discrete-time Fourier transform and relation with Z-transform
Z-transform relation to Laplace transform
Discrete sinusoids not necessarily periodic