BM 2202 SIGNALS AND SYSTEMS SYLLABUS | ANNA UNIVERSITY BE BIOMEDICAL ENGINEERING 3RD SEMESTER SYLLABUS REGULATION 2008 2011-2012 BELOW IS THE ANNA UNIVERSITY THIRD SEMESTER BE BIOMEDICAL ENGINEERING DEPARTMENT SYLLABUS IT IS APPLICABLE FOR ALL STUDENTS ADMITTED IN THE YEAR 2011-2012 (ANNA UNIVERSITY CHENNAI,TRICHY,MADURAI,TIRUNELVELI,COIMBATORE), 2008 REGULATION OF ANNA UNIVERSITY CHENNAI AND STUDENTS ADMITTED IN ANNA UNIVERSITY CHENNAI DURING 2009
BM 2202 SIGNALS AND SYSTEMS L T P C
3 1 0 4 AIM
To study and analyse characteristics of continuous, discrete signals and systems
OBJECTIVE
To study the properties and representation of discrete and continuous signals
To study the properties and representation of discrete and continuous systems
26
To study the signals in time domain and frequency domain using Fourier
To study the sampling process and analysis of signals and systems using Laplace
and Z-transforms.
To study the analysis and synthesis of systems.
UNIT I CLASSIFICATION OF SIGNALS AND SYSTEMS 9
Classification of signals – Continuous-time signal and discrete-time signals – periodic and
aperiodic signals – even and odd signals – energy and power signals – deterministic and
random signal. Basic operations on signals – arithmetic operations – reflections – time
shifting – time scaling. Types of signals – exponential, sinusoidal, step, impulse and ramp.
System - impulse response of the system. Classification of systems – stable – memory –
invertible – time invariant – linear – causal. Convolution integrals and its properties.
Sampling theorem.
UNIT II FOURIER SERIES AND FOURIER TRANSFORM 9
Continuous-time Fourier series (CTFS) – Exponential and trigonometric representation of
CTFS. Dirichlet condition. Properties of CTFS – linearity, time-shifting, time-reversal, timescaling,
multiplication, Parseval’s relation – differentiation – integration. Continuous-time
Fourier transform (CTFT) – properties of CTFT – linearity, time shifting, time-reversal,
time-scaling, multiplication, convolution, Parseval’s relation – differentiation in time and
frequency domains– integration. Application to systems - solution to differential equation
using CTFT.
Discrete-time Fourier series (DTFS) and Discrete-time Fourier transform (DTFT) –
properties – linearity, time-shifting, time-reversal, time-scaling, multiplication, Parseval’s
relation – difference – accumulation. Application to systems - solution to difference
equation using DTFT.
UNIT III LAPLACE TRANSFORM 9
Unilateral and bilateral Laplace transform (LT) – region of convergence (ROC) - properties
of LT – linearity, time-shifting, time-reversal, time-scaling, multiplication, convolution,
Parseval’s relation – differentiation in time and frequency domain – integration – initial
value and final value theorem – inversion of LT – solution to differential equation using LT
– analysis of passive network using LT.
UNIT IV DISCRETE FOURIER TRANSFORM (DFT) AND
FAST FOURIER TRANSFORM (FFT) 9
Discrete Fourier transform – properties of DFT – linearity, circular-shifting in time and
frequency domains, time-reversal, time-scaling, circular correlation, multiplication,
convolution, parseval’s relation – circular convolution – circle method, matrix method –
sectional convolution – overlap-add method and overlap-save method – radix-2 fast
Fourier algorithm – decimation-in-time FFT – decimation-in-frequency FFT – inverse FFT.
UNIT V Z-TRANFORM AND STATE MATRIX 9
Z-transform (ZT) – region of convergence (ROC) - properties of ZT – linearity, timeshifting,
time-reversal, time-scaling, multiplication, convolution, parseval’s relation –
differentiation in time and frequency domain – integration – initial value and final value
theorem – inversion of ZT – power series method, partial-fraction method, residual method
- solution to difference equation using ZT.
State variable description for LTI system – determination of transfer function from state
model – discrete-time model.
27
TEXT BOOK
1. Allan V. Oppenhein et al, “Signals and Systems”, Pearson Education, 2007
REFERENCES:
1. Simon Haykin and Barry Van Veen, “Signals and Systems”, John Willey, 1999
2. Roger E. Zeimer et al, “Signals and Systems”, McMillan, 2nd Edition, 1999.
3. Douglas K. Linder, ““Signals and Systems”, McGraw-Hill, 2nd Edition, 1999.
BM 2202 SIGNALS AND SYSTEMS L T P C
3 1 0 4 AIM
To study and analyse characteristics of continuous, discrete signals and systems
OBJECTIVE
To study the properties and representation of discrete and continuous signals
To study the properties and representation of discrete and continuous systems
26
To study the signals in time domain and frequency domain using Fourier
To study the sampling process and analysis of signals and systems using Laplace
and Z-transforms.
To study the analysis and synthesis of systems.
UNIT I CLASSIFICATION OF SIGNALS AND SYSTEMS 9
Classification of signals – Continuous-time signal and discrete-time signals – periodic and
aperiodic signals – even and odd signals – energy and power signals – deterministic and
random signal. Basic operations on signals – arithmetic operations – reflections – time
shifting – time scaling. Types of signals – exponential, sinusoidal, step, impulse and ramp.
System - impulse response of the system. Classification of systems – stable – memory –
invertible – time invariant – linear – causal. Convolution integrals and its properties.
Sampling theorem.
UNIT II FOURIER SERIES AND FOURIER TRANSFORM 9
Continuous-time Fourier series (CTFS) – Exponential and trigonometric representation of
CTFS. Dirichlet condition. Properties of CTFS – linearity, time-shifting, time-reversal, timescaling,
multiplication, Parseval’s relation – differentiation – integration. Continuous-time
Fourier transform (CTFT) – properties of CTFT – linearity, time shifting, time-reversal,
time-scaling, multiplication, convolution, Parseval’s relation – differentiation in time and
frequency domains– integration. Application to systems - solution to differential equation
using CTFT.
Discrete-time Fourier series (DTFS) and Discrete-time Fourier transform (DTFT) –
properties – linearity, time-shifting, time-reversal, time-scaling, multiplication, Parseval’s
relation – difference – accumulation. Application to systems - solution to difference
equation using DTFT.
UNIT III LAPLACE TRANSFORM 9
Unilateral and bilateral Laplace transform (LT) – region of convergence (ROC) - properties
of LT – linearity, time-shifting, time-reversal, time-scaling, multiplication, convolution,
Parseval’s relation – differentiation in time and frequency domain – integration – initial
value and final value theorem – inversion of LT – solution to differential equation using LT
– analysis of passive network using LT.
UNIT IV DISCRETE FOURIER TRANSFORM (DFT) AND
FAST FOURIER TRANSFORM (FFT) 9
Discrete Fourier transform – properties of DFT – linearity, circular-shifting in time and
frequency domains, time-reversal, time-scaling, circular correlation, multiplication,
convolution, parseval’s relation – circular convolution – circle method, matrix method –
sectional convolution – overlap-add method and overlap-save method – radix-2 fast
Fourier algorithm – decimation-in-time FFT – decimation-in-frequency FFT – inverse FFT.
UNIT V Z-TRANFORM AND STATE MATRIX 9
Z-transform (ZT) – region of convergence (ROC) - properties of ZT – linearity, timeshifting,
time-reversal, time-scaling, multiplication, convolution, parseval’s relation –
differentiation in time and frequency domain – integration – initial value and final value
theorem – inversion of ZT – power series method, partial-fraction method, residual method
- solution to difference equation using ZT.
State variable description for LTI system – determination of transfer function from state
model – discrete-time model.
27
TEXT BOOK
1. Allan V. Oppenhein et al, “Signals and Systems”, Pearson Education, 2007
REFERENCES:
1. Simon Haykin and Barry Van Veen, “Signals and Systems”, John Willey, 1999
2. Roger E. Zeimer et al, “Signals and Systems”, McMillan, 2nd Edition, 1999.
3. Douglas K. Linder, ““Signals and Systems”, McGraw-Hill, 2nd Edition, 1999.
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