PRINCIPLES OF DIGITAL SIGNAL PROCESSING

PRINCIPLES OF DIGITAL SIGNAL PROCESSING  

OBJECTIVES:

•  To learn discrete Fourier transform and its properties
•  To know the characteristics of IIR and FIR filters learn the design of infinite and finite impulse  response filters for filtering undesired signals
•  To understand Finite word length effects
•  To study the concept of Multirate and adaptive filters

UNIT I DISCRETE FOURIER TRANSFORM 
Discrete Signals and Systems- A Review – Introduction to DFT – Properties of DFT – Circular Convolution - Filtering methods based on DFT – FFT Algorithms –Decimation in time Algorithms, Decimation in frequency Algorithms – Use of FFT in Linear Filtering.
UNIT II IIR FILTER DESIGN 
Structures of IIR – Analog filter design – Discrete time IIR filter from analog filter – IIR filter design by Impulse Invariance, Bilinear transformation, Approximation of derivatives – (LPF, HPF, BPF, BRF) filter design using frequency translation.
UNIT III FIR FILTER DESIGN 
Structures of FIR – Linear phase FIR filter – Fourier Series - Filter design using windowing techniques (Rectangular Window, Hamming Window, Hanning Window), Frequency sampling techniques – Finite word length effects in digital Filters: Errors, Limit Cycle, Noise Power Spectrum. UNIT IV FINITE WORDLENGTH EFFECTS
Fixed point and floating point number representations – ADC –Quantization- Truncation and Rounding errors - Quantization noise – coefficient quantization error – Product quantization error - Overflow error – Roundoff noise power - limit cycle oscillations due to product round off and overflow errors – Principle of scaling
UNIT V DSP APPLICATIONS 
 Multirate signal processing: Decimation, Interpolation, Sampling rate conversion by a rational factor – Adaptive Filters: Introduction, Applications of adaptive filtering to equalization.
TOTAL (L:45+T:15): 60 PERIODS
OUTCOMES: Upon completion of the course, students will be able to

• apply DFT for the analysis of digital signals & systems
• design IIR and FIR filters
• characterize finite Word length effect on filters 
• design the Multirate Filters
• apply Adaptive Filters to equalization

TEXT BOOK:
1. John G. Proakis & Dimitris G.Manolakis, “Digital Signal Processing – Principles, Algorithms & Applications”, Fourth Edition, Pearson Education / Prentice Hall, 2007.

REFERENCES:
1. Emmanuel C..Ifeachor, & Barrie.W.Jervis, “Digital Signal Processing”, Second Edition, Pearson Education / Prentice Hall, 2002.
2. Sanjit K. Mitra, “Digital Signal Processing – A Computer Based Approach”, Tata Mc Graw Hill, 2007.
3. A.V.Oppenheim, R.W. Schafer and J.R. Buck, “Discrete-Time Signal Processing”, 8th Indian Reprint, Pearson, 2004.
4. Andreas Antoniou, “Digital Signal Processing”, Tata Mc Graw Hill, 2006.