Lecture Signal processing: Introduction - Nguyễn Công Phương

Nguyễn Công Phương

SIGNAL PROCESSING


Contents
I. Introduction
II. Discrete – Time Signals and Systems
III. The z – Transform
IV. Fourier Representation of Signals
V. Transform Analysis of LTI Systems
VI. Sampling of Continuous – Time Signals
VII.The Discrete Fourier Transform
VIII.Structures for Discrete – Time Systems
IX. Design of FIR Filters
X. Design of IIR Filters
XI. Random Signal Processing
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References
[1] D. Manolakis and V. Ingle. Applied Digital Signal
Processing. Cambride, 2011.
[2] J. G. Proakis and D. G. Manolakis. Digital Signal
Processing – Principles, Algorithms, and Applications.
Prentice – Hall, 1996.
[3] R. N. Bracewell. The Fourier Transform and its
Applications. McGraw-Hill, 2000.
[4] V. K. Madisetti, D. B. Williams. Digital Signal Processing

Handbook. CRC Press, 1999.
[5] A. V. Oppenheim, A. S. Willsky, and S. H. Nawab. Signals
and Systems. Prentice Hall, 1997.
[6] S. Stergiopoulos. Advanced Signal Processing Handbook.
CRC Press, 2001
[7] sites.google.com/site/ncpdhbkhn
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Introduction

To record, create, manipulate, transform, and transmit signals

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Introduction
1. Signals
2. Systems
3. Analog, Digital, and Mixed Signals
Processing
4. Applications of Digital Signal Processing

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Signals (1)
• Signal: a physical quantity varying as a
function (of time, space, etc.) and carrying
information
Index

L

R
i

+

C

v
e

–

+–

Current as
a function of time

M T W T F S

Closing value

of the stock exchange index
as a function of days
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Image as a function
of x–y coordinates
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Signals (2)
Index

i (A)

t (s)
M T W T F S

s(t)

s[n]

Continuous – time signal

Discrete – time signal

Value of s(t) is defined for
every value of time t

Value of s(t) is defined
only at discrete time

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Signals (3)
i (A)

i (A)

T

t (s)

0

s(t)

5 6

1 2
3 4

n

7 8

s[n] = s(t ) t =nT = s(nT )
T : sampling period

1
f s = : sampling frequency
T
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Signals (4)

Deterministic signal

The future value is
predictable

Random signal

The future value is
unpredicatble

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Introduction
1. Signals
2. Systems
3. Analog, Digital, and Mixed Signals
Processing

4. Applications of Digital Signal Processing

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Systems
x (t )

Continuous – Time
System

Analog-to-Digital
Conversion (ADC)

x[n ]

Digital-to-Analog
Conversion (DAC)

Discrete – Time
System
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y (t )

y[ n ]
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Analog, Digital, and Mixed
Signals Processing
Analog input

Sensor
Analog Pre-processing
ADC
DSP
DAC
Analog Post-processing
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Analog
output
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Applications of Digital Signal
Processing
•
•
•
•
•
•
•

Key operations
Audio processing

Speech processing
Image & video processing
Telecommunications
Computer systems
Military

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