JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD

Course Objectives

This course is an essential course that provides design techniques for

processing all type of signals in various fields. The main objectives are:

• To provide background and fundamental material for the analysis and processing of digital signals.
• To familiarize the relationships between continuous-time and discrete time signals and systems.
• To study fundamentals of time, frequency and Z-plane analysis and to discuss the inter-relationships of these analytic method.
• To study the designs and structures of digital (IIR and FIR) filters from analysis to synthesis for a given specifications.
• The impetus is to introduce a few real-world signal processing applications.
• To acquaint in FFT algorithms, Multi-rate signal processing techniques and finite word length effects.

Course Outcomes

On completion of this subject, the student should be able to:

• Perform time, frequency, and Z -transform analysis on signals and systems.
• Understand the inter-relationship between DFT and various transforms.
• Understand the significance of various filter structures and effects of round off errors.
• Design a digital filter for a given specification.
• Understand the fast computation of DFT and appreciate the FFT processing.
• Understand the tradeoffs between normal and multi rate DSP techniques and finite length word effects.

UNIT - I

Introduction: Introduction to Digital Signal Processing: Discrete Time Signals & Sequences, conversion of continuous to discrete signal, Normalized Frequency, Linear Shift Invariant Systems, Stability, and Causality, linear differential equation to difference equation, Linear Constant Coefficient Difference Equations, Frequency Domain Representation of Discrete Time Signals and Systems Realization of Digital Filters: Applications of Z – Transforms, Solution of Difference Equations of Digital Filters, System Function, Stability Criterion, Frequency Response of Stable Systems, Realization of Digital Filters – Direct, Canonic, Cascade and Parallel Forms.

UNIT - II

Discrete Fourier Transforms: Properties of DFT, Linear Convolution of Sequences using DFT, Computation of DFT: Over-Lap Add Method, Over-Lap Save Method, Relation between DTFT, DFS, DFT and Z-Transform.

R16 B.TECH BIOMEDICAL ENGG.

Fast Fourier Transforms: Fast Fourier Transforms (FFT) - Radix-2 Decimation-in-Time and Decimation-in-Frequency FFT Algorithms, Inverse FFT, and FFT with General Radix-N.

UNIT - III

IIR Digital Filters: Analog filter approximations – Butterworth and Chebyshev, Design of IIR Digital Filters from Analog Filters, Step and Impulse Invariant Techniques, Bilinear Transformation Method, Spectral Transformations.

UNIT - IV

FIR Digital Filters: Characteristics of FIR Digital Filters, Frequency Response, Design of FIR Filters: Fourier Method, Digital Filters using Window Techniques, Frequency Sampling Technique, Comparison of IIR & FIR filters.

UNIT - V

Multirate Digital Signal Processing: Introduction, Down Sampling, Decimation, Upsampling, Interpolation, Sampling Rate Conversion, Conversion of Band Pass Signals, Concept of Resampling, Applications of Multi Rate Signal Processing. Finite Word Length Effects: Limit cycles, Overflow Oscillations, Round-off Noise in IIR Digital Filters, Computational Output Round off Noise, Methods to Prevent Overflow, Tradeoff between Round Off and Overflow Noise, Measurement of Coefficient Quantization Effects through Pole-Zero Movement, Dead Band Effects.

TEXT BOOKS:

• 1. Digital Signal Processing, Principles, Algorithms, and Applications: John G. Proakis, Dimitris G. Manolakis, Pearson Education / PHI, 2007.
• 2. Discrete Time Signal Processing – A. V. Oppenheim and R.W. Schaffer, PHI, 2009
• 3. Fundamentals of Digital Signal Processing – Loney Ludeman, John Wiley, 2009

REFERENCES:

• 1. Digital Signal Processing – Fundamentals and Applications – Li Tan, Elsevier, 2008
• 2. Fundamentals of Digital Signal Processing using MATLAB – Robert J. Schilling, Sandra L. Harris, Thomson, 2007
• 3. Digital Signal Processing - A Practical approach, Emmanuel C. Ifeachor and Barrie W. Jervis, 2 nd Edition, Pearson Education, 2009. R16 B.TECH BIOMEDICAL ENGG.