Mahatma Gandhi University

IT 602:DIGITAL SIGNAL PROCESSING

2+2+0

Objectives: To study the fundamentals of discrete-time signals and system analysis, digital filter

design and the DFT

Module 1 (12 Hours)Introduction: Elements of a Digital Processing System - Advantages of Digital over Analog Signal Processing - Applications of DSP.Discrete-Time Signals and Systems: Basic Discrete-Time sequences and sequence operations: unit sample, unit step, exponential, sinusoidal – periodic and aperiodic discrete time sinusoids - Discrete time systems: Properties of Systems: Stability, Memory, Causality, Time invariance, Linearity

Module 2 (12 Hours)LTI Systems: Representation of Signals in terms of impulses – Impulse response – Convolution sum– Cascade and Parallel interconnections – Memory, Causality and Stability of LTI systems – Systems described by linear constant coefficient difference equationsFrequency Domain representation of discrete-time signals: Fourier transform of a sequence - Properties of Fourier Transforms – Frequency response of systems

Module 3 (12 Hours)Z transform: Definition - ROC – Common Z transforms - Inverse z-transform by partial fraction expansion- Properties of z- transforms - Analysis and characterization of LTI systems using Z-TransformSampling of continuous time signals: The sampling theorem - Aliasing

Module 4 (12 Hours)Structures for discrete time systems – IIR and FIR systems – Block diagram representation of difference equations – Basic structures for IIR systems – Direct form - Cascade form - Parallel form – Structures for FIR systems – Direct and Cascade forms – Overview of finite precision numerical effects in implementing systems

Module 5 (12 Hours)Digital filter design: Filter specification –Comparison of IIR and FIR filters – Design of low pass FIR filters by windowingThe Discrete Fourier Transform: Relation with DTFT - Computation of the DFT – Decimation in time and decimation in frequency FFT - Reduction of computational complexity

Syllabus - B.Tech. Information Technology

Teaching scheme Credits: 4 2hours lecture and 2 hour tutorial per week

Mahatma Gandhi University

References

1. Alan V. Oppenheim and Ronald W. Schafer, Digital Signal Processing – Pearson Education Asia, LPE

2. Sanjit K Mitra, Digital Signal Processing, 3e, Tata McGraw - Hill Education, New Delhi, 2007.

3. John G. Proakis and Dimitris G. Manolakis, Digital Signal Processing - Pearson Education, 4th edition

4. L C Ludeman ,Fundamentals of Digital Signal Processing –, Wiley5. Johny R. Johnson, An Introduction to Digital Signal Processing: Prentice Hall6. S.Salivahanan, A.Vallavaraj, C.Gnanapriya, Digital Signal Processing, 2e,

Tata McGraw - Hill Education, New Delhi, 20097. Emmanuel C. Ifeachor and Barrie W. Jervis,Digital Signal Processing: A

Practical Approach –Pearson Education Asia, LPE

Syllabus - B.Tech. Information Technology