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digital signal processing
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GUHA PO TSE R
INTRODUCTION
After completing this chapter, you should be able to:
+ Define or explain the following terms: signal, deterministic signal, non-deterministic
Understand how to classify a signal based on RHuHUenRas he tineverani tet
Know the difference between analog, discrete and digital signal.
Compare the difference between analog and digital signal processor.
Compare the features of different commercial digital signal processors.
Know the overview of the application areas of DSP.
1.1 INTRODUCTION
In recent years, there is a tremendous development in the fabrication of microchips for the design
of efficient digital system and this has led to a new discipline known as Digital Signal Processing
(SP). Digital signal processing is a technique of performing mathematical operations on signals,
represented as sequences of samples using coding on a microprocessor oF digital signal processor
chip, Digital signal processing is becoming an important modern tool in the fields like speech and
audio processing, biomedical, communication, acoustics, radar, geophysics, robotics and control
applications. This chapter covers types of signals, types of processing systems and commercial
digital signal processors. The chapter concludes with overview of application areas of DSP.
1.2. SIGNAL CLASSIFICATION
nformation and plays an important role in our daily life. Examples
of signals that we encounter frequently in our daily life are speech and physiological signals
Examples of physiological signals are Electrocardiogram (ECG) and Electroencephalogram (EEG)
signals. ECG signal provides information about the condition of the heart and BEG signal provides
information about the condition of the brain. Speech, ECG and BEG signals are examples of
information bearing signals as a function of time.
1
Signal is a means that conveys i2 Monerw Dicirat SIGNAL ProcessinG __
i y that varies with time, spa
Signal is defined as any physical quantity that ; PACE OF any ote E
such as distance, position, temperature, pressure, etc 9
Signals are classified into two types:
+ Deterministic signal
+ Non-deterministic signal
Deterministic signals are those that ean be described by mathematical mode) ay
deterministic signal are those that eannot be described by mathematical model andar
in terms of probabilities or with the help of their statistical properties. Dependit
characteristics of the time variable, signals can be classified into following types:
+ Continuous time signal
* Discrete time signal
* Digital signal
1.2.1 Continuous Time Signal
Almost all the signals generated from various sources in the nature are continuous time sions,
In continuous time signals both amplitude and time are continuous variables. Continuous sme
signals are also called analog signals. Electrocardio,
(@) ECG signals (b) EEG signals (©) Speech signals
Figure 11 Examples of continuous time signals.
1.2.2 Discrete Time Signal
(1)
7, 1 =0,1,2,3,..
‘Then analog signal and discrete signal are related by
(1) = x(n.) n=0,1,2,3,.. (2)
aIwmoouerion _3
. x(n)
eS eae
aaa oa on
Figure 1.2 Sampling of continuous to discrete time signal.
‘This means x() is represented as samples at 0, 7,, 27, 3T,,.. or discrete signal is defined only
atn= 0,1, 2,3, 4,... Sampling time 7, is the time difference between any two adjacent samples,
which is determined by the highest frequency of the input signal. The sampling frequency is at
least twice the highest frequency of the signal.
=O fe (1.3)
1.2.3 Digital Signal
The signals represented in microprocessor or in digital signal processors are digital signals.
‘These signals are represented by a function x(n). In digital signal, the sampled value of the analog
‘magnitude is converted into a binary number. The digitization process consists of two main stages:
sampling the signal and quantization. Quantization converts the sampled amplitude into binary
code words. The conversion of analog signal to digital form is performed by analog to digital
(A/D) converter and digital signal is converted back to analog by digital to analog (D/A) converter.
In the digital signal both time and amplitude are represented by 1 bit (binary), 3 bits (octal),
4 bits (hexadecimal), 8 bits, 16 bits, 32 bits or 64 bits.
1.3 SIGNAL PROCESSING SYSTEMS
Till now we were discussing about signals and their classification. In this section we will discuss
about signal processing systems. System is defined as a physical device that performs an operation
on a signal. System is defined mathematically as an operator that maps an input sequence into an
‘output sequence. The systems can be classified into following types:
* Analog signal processing system
* Digital signal processing system
1.3.1 Analog Signal Processing System
As discussed in Section 1.2, almost all the signals generated from various sources are analog in
nature, Originally signal processing was done on analog or continuous time signals. The system
used to process analog signal is known as analog signal processing system. The block diagram
of an analog processing system is shown in Figure 1.3.Analog signal
ae Analog signal i
Analog signal |__
en | processor a
x [erases |
Figure 1.3. Analog signal processing system
is to process the input analog sig,
she function of analog signal processor is to p ol i ; 18Nal BY funy
Ba tion, amplification, filtering, current to voltage conversion, volt;
as attenuation,
4.3.2 Digital Signal Processing System
Until the late 1950s digital computers were not commercially available. After the de,q
microprocessor, analog processing systems were replaced by digital process
The concepts are very simple. The analog signals are converted to digital signals by»
digital converter (A/D). The signal is sampled in time at a constant rate and analog magring
converted into a binary number with an analog to digital converter. Digital Signals are proc. 4
by using microprocessors or digital signal processors. After processing, digital oun
processor are converted into an equivalent analog signal by a digital to analog Converter (Dy)
Figure 1.4 represents the block diagram of a typical digital signal processing system
‘Opmen
Analog Digital Digital + ts
; f " ; signal
signal | Analog to signal | Microprocessor | Signal Digital to | signal
yp | Sisital converter [— >] or Sp *| analog converter | ——>
x@ x(n) x(n) x)
Figure 1.4. Digital signal processing system.
Digital signal processing enjoys several advantages over analog signal process
significant of these are the following:
i. The mos
* Digital systems can be made accurate, by selecting word length according to the required
accuracy.
* Easy storage facility and less expensive,
+ In digital systems Output does not vary due to environmental factors.
* They are reprogrammable, functions can be changed by changing the program.
* Implementation of mathematical operations, which i difficult or even impossible using a2
signal processor.
* Security can be provided through hardware or by coding techniques.
The processor may be a gene
The microprocessor architecture is
i ae ‘on a
Real tine digital signal processing is performing operations op transformations of sist!
processor in synchronization with events occurring sin the physical system and with fimé
ESSE A Rios
sia iialurrooueTin
In real time digital signal processing applications require, mathematical operations to be
performed quickly. Both software and hardware must be extremely efficient to accomplish this.
The digital signal processor is optimized to accomplish these tasks fast enough to maintain real
time operations. The DSP’s differ from general-purpose microprocessors and microcontrollers in
that they are specially designed to perform single cycle arithmetic operations and accumulations
They support mathematical functions specifically intended for processing digital signals.
The current trends in technology seem to indicate the possibility through that distinction between
a DSP and the microprocessor will be gone. The Microprocessors are now becoming more and
more sophisticated that some of them are now equipped with true DSP capabilities.
1.4 COMMERCIAL DIGITAL SIGNAL PROCESSORS
A. Oppenheim and R. Schafer first published the textbook Digital Signal Processing. In 1979,
Intel announced the first digital signal processor chip Intel 2920. In 1990, Intel released 1960,
which is used in DSP applications and in multimedia. In 1982, DSP chips were designed by
NEC MPD 7720 and by Texas instruments TMS 32010. These chips were capable of 16 bits
integer arithmetic operations, with the speed of 33.3 and 5 Million Instructions Per Second (MIPS)
and had limited Random Access Memory (RAM), Read Only Memory (ROM) and Input/Output
(UO) devices. The salient features of some of the DSP processors are summarized in Table 1.1
‘Table 1.1 Commercial DSP Processors
‘Vendor Processor Famil Arithmetic Type Data Width _ Speed(MIPS)
AT and T DSP16xx Fixed 16 70.0
DSP32xx Floating. 32 20.0
Motorola DSPS600x Fixed 24 40.0
DSP561xx Fixed 16 30.0
DSPS63xx Fixed 24 80.0
DSP96002 Floating. 32 20.0
Analog Devices ADSP-21xx Fixed 16 33.3
ADSP-210xx Floating 32 40.0
‘Texas Instruments TMS320CIx Fixed 16 88
TMS320C2x Fixed 16 12.5
TMS320C2xx Fixed 16 40.0
TMS320C3x Floating 32 25.0
TMS320C4x Floating 32 30.0
TMS320C5x Fixed 16 50.0
TMS320C54xx, Fixed 16 50.0
TMS320C6713 Floating 32 1800.0
1.5 OVERVIEW OF APPLICATION AREAS OF DSP
A wide variety of commercial DSP systems are the core of many new and emerging digital
products. DSP systems are becoming more powerful because of their speed and lower cost. In
this section we will discuss few application areas.y
6 __Mooenw DiciTaL SIGNAL PROCESSING
Spectrum anal,
+ Biomedical ysis
peal hearing aid Motor control
Patient monitoring Noise reduction
Ultrasound equipment Process control
+ Image processing
X-ray
Magabtie Resonance Imaging (MRI). Image enhancement
ECG and EEG analysis Image analysis
+ Audio and speech processing Image compression
Audio mixing Image recognition
Speech recognition Animation
Speech enhancement * Military
Speech synthesis Secure communication
Text to speech Radar processing
Speaker verification Navigation
+ Telecommunication Sonar processing
Data communication Missile guidance
Echo cancellation + Consumer applications
FAX Digital television
Cellular telephone Digital camera
Video-conferencing Mobile phones
Speakerphones Voicemail systems
+ Instrumentation and control Sound recording
Robot control Toys
1.6 SUMMARY
In this chapter, the meaning of DSP has been explained. Classification of signals and types of
final processing systems are discussed. Commercial DSP processors and areas of applications
have been discussed.
Multiple Choice Questions
1. Deterministic signal is
(a) Random signal (b) Completely specified function of time
(c) Partly specified function of time (@) Specified by statistical properties
2. Non-deterministic signal can be modelled by
(a) Integral equation (b) Difference equation
(c) Differential equation (d) Statistical parametersiz
InrropucTion
3. The features in which DSP is superior to microprocessor
(a) Low cost (b) Low power consumption
(©) Real time 1/0 capability (d) None of the above
4, Analog signal and discrete signal are related by
(a) x =x(nT,) (b) x) = x(n)
(©) x@) =x@T,.) (d) x(4) = x(n)
5. Advantages of analog signal processing systems are
(a) Easy storage facility (b) Less expensive
(©) Accurate (d) None of the above
Review Questions
« Distinguish between deterministic and non-deterministic signals.
Explain the differences between analog, discrete and digital signals.
. Distinguish analog signal processing system and digital signal processing system with
diagrams.
4. What is a real time digital signal processing system?
. List few application areas of DSP.
ye
a