Tybsc (IT) SEM - 6
Digital Signals and Systems
Unit-I
Classification of Signals and systems:
Introduction, Continuous Time and discrete time signals, classification of signals, simple manipulations of discrete time signals, amplitude and phase spectra, classification of systems, analog to digital conversion of signals
Fourier Analysis of Periodic and Aperiodic Continuous Time Signals and Systems:
Introduction, trigonometric Fourier series, Complex or exponential form of Fourier series, Parsevals identity for Fourier series, Power spectrum of a periodic function. Fourier transform and its properties, Fourier transforms of some important signals, Fourier transforms of power and energy signals.
Introduction, Continuous Time and discrete time signals, classification of signals, simple manipulations of discrete time signals, amplitude and phase spectra, classification of systems, analog to digital conversion of signals
Fourier Analysis of Periodic and Aperiodic Continuous Time Signals and Systems:
Introduction, trigonometric Fourier series, Complex or exponential form of Fourier series, Parsevals identity for Fourier series, Power spectrum of a periodic function. Fourier transform and its properties, Fourier transforms of some important signals, Fourier transforms of power and energy signals.
Unit-II
Applications of Laplace Transform to System Analysis
Introduction, definition, region of convergence (ROC) LT of some important functions, Initial and final value theorems, convolution integral, Table of Laplace transforms, partial fraction expansions, network transfer function. S-plane Poles and zeros. LT of periodic functions. Application of LT in analysing networks.
Introduction, definition, region of convergence (ROC) LT of some important functions, Initial and final value theorems, convolution integral, Table of Laplace transforms, partial fraction expansions, network transfer function. S-plane Poles and zeros. LT of periodic functions. Application of LT in analysing networks.
Unit-III
Z Transform:
Introduction, definition of z-transform, properties of z-transform, evaluation of inverse z-transform.
Introduction, definition of z-transform, properties of z-transform, evaluation of inverse z-transform.
Unit-IV
Linear Time Invariant Systems:
Introduction, properties of DSP system, Discrete convolution, solution of linear constant coefficient difference equation. Frequency domain representation of discrete time signals and systems. Difference equation and its relationship with system function, impulse response and frequency response
Introduction, properties of DSP system, Discrete convolution, solution of linear constant coefficient difference equation. Frequency domain representation of discrete time signals and systems. Difference equation and its relationship with system function, impulse response and frequency response
Unit-V
Discrete and Fast Fourier Transforms:
Introduction, discrete Fourier series, Discrete time Fourier transform (DTFT), Fast Fourier transform (FFT), Computing an inverse DFT by doing direct DFT, Composite radix FFT, Fast (Sectioned) convolution, Correlation.
Introduction, discrete Fourier series, Discrete time Fourier transform (DTFT), Fast Fourier transform (FFT), Computing an inverse DFT by doing direct DFT, Composite radix FFT, Fast (Sectioned) convolution, Correlation.
Unit-VI
Finite Impulse Response (FIR) Filters
Introduction, magnitude response and phase response of digital filters, frequency response of linear phase FIR filters, Design techniques of FIR filters, design of optimal linear phase FIR filters.
Infinite Impulse Response (IIR) Filters:
Introduction, IIR filter design by approximation of derivatives, IIR filter design by impulse invariant method, IIr filter design by the bilinear transformation, Butterworth filters, Chebyshev filters, Elliptic filters, frequency transformation.
Introduction, magnitude response and phase response of digital filters, frequency response of linear phase FIR filters, Design techniques of FIR filters, design of optimal linear phase FIR filters.
Infinite Impulse Response (IIR) Filters:
Introduction, IIR filter design by approximation of derivatives, IIR filter design by impulse invariant method, IIr filter design by the bilinear transformation, Butterworth filters, Chebyshev filters, Elliptic filters, frequency transformation.
Books:
Digital Signal Processing by S. Salivahanan, C. Gnanapriya Second Edition, TMHractical : ( To be conducted using Scilab / MATLAB)
1. Write a program to study and implement Discrete Time Signals and systems.
a. Unit Step Sequence
b. Unit Ramp Sequence
c. Exponential Sequence
d. Exponential Increasing Sequence
e. Exponential Decreasing Sequence
f. Even Signals
g. Odd Signals
2. Write a program to implement Z-Transforms.
a. Z-transform of Finite duration signals
b. Time shifting property of Z transform
3. Write a program to demonstrate convolution property.
4. Write a program to demonstrate correlation property.
5. Write a program to implement Frequency Response of First order Difference Equation.
6. Write program to
a. Determine N-Point DFT.
b. Find DFT and IDFT of the given sequence.
7. Write a program to implement circular convolution using DFT
8. Write a program to perform linear filtering (linear convolution using DFT.
9. Write a program to implement/Design of FIR Filter using Frequency Sampling Technique.
10. Write a program to implement low pass, high pass and band pass filters.
a. Unit Step Sequence
b. Unit Ramp Sequence
c. Exponential Sequence
d. Exponential Increasing Sequence
e. Exponential Decreasing Sequence
f. Even Signals
g. Odd Signals
2. Write a program to implement Z-Transforms.
a. Z-transform of Finite duration signals
b. Time shifting property of Z transform
3. Write a program to demonstrate convolution property.
4. Write a program to demonstrate correlation property.
5. Write a program to implement Frequency Response of First order Difference Equation.
6. Write program to
a. Determine N-Point DFT.
b. Find DFT and IDFT of the given sequence.
7. Write a program to implement circular convolution using DFT
8. Write a program to perform linear filtering (linear convolution using DFT.
9. Write a program to implement/Design of FIR Filter using Frequency Sampling Technique.
10. Write a program to implement low pass, high pass and band pass filters.
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