EG 7016 Design of discrete systems

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EG 7016Design of discrete systems

• Rodrigo Quian Quiroga

Lecture 1Introduction to Digital Signal
Processing
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Signal and noise
Signals convey relevant information but what is
relevant can be very relative!
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Continuous and discrete signals
Continous signal xa(t)
Discrete signal (sequence) xn
T sampling period fs 1/T
sampling rate
xn xa(nT)
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Basic sequences
Unit step
Unit impulse
Sinusoidal
Exponential
Periodic
Random
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Examples of digital signals
Periodic . . . . Random
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Speech signals
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one more
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Applications

• Voice recognition
• security systems
• Speech recognition
• Computer interfaces
• Study of animals communication
• songbirds

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more examples
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Million dollar question

• Can we predict epileptic seizures?
• Immense clinical application
• Other questions
• Can we localize the epileptic focus?
• Can we get more information about seizures?

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Single-cell recordings
Application spike detection and sorting
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more examples
Weather prediction???
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more examples
Earthquake prediction???
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Outline of the course

• Discrete-time signals
• The Z-Transform
• Digital filters
• IIR and FIR filters
• Filter design
• Discrete Fourier Transform
• FFT
• Power spectrum estimation
• Time-Frequency analysis
• Wavelets

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Bibliography

• Discrete-time signal processing. Oppenheim and
  Schafer, 1999.
• Introductory digital signal processing with
  computer applications. Lynn and Fuerst, 1994.
• Digital Signal Processing - A practical approch,
  Ifeachor and Jervis, 1993.
• Fundamentals of digital signal processing,
  Luderman, 1987.
• Digital filters - Analysis, design and
  applications, Antoniou, 1993.
• The fast Fourier transform. Brigham, 1974.
• Computer-based exercises for signal processing
  using MATLAB, C.S. Burrus et al., 1994.
• MATLAB Wavelets toolbox manual, Mathworks 1997.