Lecture Signal processing: Introduction - Nguyễn Công Phương

Lecture Signal processing introduction the signals, systems, analog, digital, and mixed signals processing, applications of digital signal processing. Inviting you refer.

Nguyễn Công Phương

SIGNAL PROCESSING

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

[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

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

1 Signals

2 Systems

3 Analog, Digital, and Mixed Signals

Processing

4 Applications of Digital Signal Processing

Signals (1)

• Signal: a physical quantity varying as a

function (of time, space, etc.) and carrying

information

C

i +

–

v

+ –

e

M T W T F S

Current as

a function of time

Closing value

of the stock exchange index

as a function of days

Image as a function

of x–y coordinates

Signals (2)

Index

M T W T F S

s(t)

Continuous – time signal

s[n]

Discrete – time signal

i (A)

t (s)

Value of s(t) is defined for

every value of time t

Value of s(t) is defined

only at discrete time

Signals (3)

i (A)

t (s)

t nT

s n = s t = = s nT

s(t)

T : sampling period

1

s

f

T

= : sampling frequency

i (A)

n

T

0 1 2

3 4

5 6

7 8

Signals (4)

Deterministic signal Random signal

The future value is

predictable

The future value is unpredicatble

1 Signals

2 Systems

3 Analog, Digital, and Mixed Signals

Processing

4 Applications of Digital Signal Processing

Continuous – Time

System

Discrete – Time

Analog-to-Digital

Conversion (ADC)

Digital-to-Analog Conversion (DAC)

Analog, Digital, and Mixed

Signals Processing

Sensor Analog Pre-processing

ADC DSP DAC Analog Post-processing

Analog input

Analog output

Applications of Digital Signal

Processing

• Key operations

• Audio processing

• Speech processing

• Image & video processing

• Telecommunications

• Computer systems

• Military