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CS2403 Digital Signal Processing Hand Written Lecture Notes - Kavi Edition

Digital Signal Processing Premium Lecture Notes, Prepared by Kavi. Specially for Computer Science Engineering . Syllabus Covered based on Anna University B.E Computer Science Engineering.

CONTENT:

DIGITAL SIGNAL PROCESSING
UNIT-1 (Pages: 43)
SIGNALS AND SYSTEM
UNIT-2 (Pages: 40)
FREQUENCY TRANSFORMATION
UNIT-3 (Pages: 38)
IIR FILTER DESIGN
UNIT-4 (Pages: 24)
FINITE IMPULSE RESPONSE FILTER
UNIT-5 (Pages: 8)
MULTIRATE SIGNAL PROCESSING

UNIT-1
SIGNALS AND SYSTEM
Basic elements of DSP
Sampling
Concept of frequency in CT and DT signals
Discrete time sinusoidal signals
Properties of DT signal
CT – exponentials
DT – Exponential
A/D and D/A Conversion
DT signals and mathematical representation
Classification of signals
Basic operation of signals
Sampling theorem
Proof of sampling theorem
Classification of DT system
FIR and IIR System
Stability analysis
Frequency response
Properties of frequency response
Time invariance property
Causality property
Stability property
Z-transform
Region of convergence
Double sided Z- transform
Properties of Z- transforms
Linearity property
Time shifting property
Properties of system
Stability property
Time reversal property
Scaling property
Differential property
Convolution property
Parseval’s theorem
Initial value theorem
Final value theorem
Inverse Z- Transform
Long division method
Partial fraction method
Residue method
Linear convolution
Correlation

UNIT-2
FREQUENCY TRANSFORMATION
Discrete fourier transform
Frequency analysis of DT signal
Properties of DPT
Circular convolution
Methods
1. Circle method
2. Matrix method
3. DFT – IDFT method
Overlap save method
Difference between linear and circular convolution
FFT (fast Fourier transform)
DIT FFT algorithm
Decimation in frequency FFT algorithm
Inverse fast fourier transform
FFT algorithm in linear filtering and correlation
Comparision between DIT and DIF algorithm
Discrete cosine transform
Types of DCT
Application
UNIT-3
IIR FILTER DESIGN
Introduction
Analog filters design
Analog domain to digital domain transformation
Impulse inverient transformation
Bilinear transformation tech
Taking inverse laplace transform
Characteristics of bilinear transformation
Steps involved in bilinear transformation
Approximation of derivation
Analog frequency transformation
Normalized LPF to designed BPF
Digital frequency transformation
Butterworth filter
Algorithm
Chebyshev filter
UNIT-4
FINITE IMPULSE RESPONSE FILTER
Linear phase FIR filter
Design of FIR filter using windowing techniques
Raised cosine window
Hanning window
Hamming window

UNIT-5
MULTIRATE SIGNAL PROCESSING
Aliasing effect
Upsampling