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- Signals
- continuous time
- speech signal
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$\mathrm{x}(t)$ one dimensional
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- images
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$\mathrm{brightness(horiz, vert)}$ two dimensional
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- for convenience, we tend to refer to the independent variables when we talk about signals as time variables. Whether or not they really do represent time.
- speech signal
- discrete time
- stock market index
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$\mathrm{x[n]}$ one dimensional - spatial and time ray
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$\mathrm{x[n,m]}$ multi-dimensional
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- continuous time
- Systems
- classification
- linear or not
- linear
- Nonlinear
- time-varying or not
- time-invariant
- time-varying
- linear or not
- This course will focus on LTI - linear time-invariant systems
- Interconnections of systems
- series
- parallel
- feedback
- Domains for analysis and representation
- Time domain - How to change?
$\mathrm{x[n]}$ $\mathrm{x(t)}$
- Frequency domain - How to represent?
- Fourier transform
- Laplace transform (Extensions of the Fourier transform)
- z-transform (a discrete time counterpart of Laplace transform)
- Time domain - How to change?
- classification