Design of discrete systems

spectacularscarecrowAI and Robotics

Nov 17, 2013 (3 years and 4 months ago)

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Design of discrete systems

Rodrigo Quian Quiroga

Lecture 1


Introduction to Digital Signal Processing

Signals convey relevant information…

but what is relevant can be very relative!

Signal and noise

Continuous and discrete signals

Continous signal


x
a
(t)

Discrete signal

(sequence)


x[n]

x[n] = x
a
(n
T
)


T

: sampling period


f
s

= 1/
T

: sampling rate

Basic sequences

Unit impulse

Unit step

Exponential

Periodic

Sinusoidal

Random

Examples of digital signals

Periodic




.


.


.


.



Random

Speech signals…

Time

Frequency

Time

Frequency

one more…

Applications:


Voice recognition


security systems



Speech recognition


Computer interfaces



Study of animal’s communication


songbirds


more examples…

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?

Single
-
cell recordings

Application:

spike detection and sorting

more examples…

Weather prediction???

more examples…

Earthquake prediction???

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

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.