National Institute of Technology Rourkela

राष्ट्रीय प्रौद्योगिकी संस्थान राउरकेला

ଜାତୀୟ ପ୍ରଯୁକ୍ତି ପ୍ରତିଷ୍ଠାନ ରାଉରକେଲା

An Institute of National Importance

Syllabus

Course Details

Subject {L-T-P / C} : EC3601 : Digital Signal Processing { 3-0-0 / 3}

Subject Nature : Theory

Coordinator : Prof. Upendra Kumar Sahoo

Syllabus

Module 1: Introduction: Overview of Discrete time signals and systems Z-Transform: Generalized complex exponentials as eigensignals of LTI systems, z-transform definition, region of convergence (RoC), properties of RoC, properties of the z-transform, inverse z-transform methods-pole-zero plots, time-domain responses of simple pole-zero plots.[5 hours]

Module 2: RoC implications of causality and stability Frequency Domain Analysis: Frequency analysis of continuous-time and discrete-time signals and LTI systems, LTI system as frequency selective filter, inverse system and de-convolution.[7 hours]

Module 3: Discrete Fourier Transform (DFT): Definition of the DFT and inverse DFT, DFT as the samples of the DTFT and the implied periodicity of the time-domain signal, recovering the DTFT from the DFT, circular shift of signal and the “index mod N” concept, properties of the DFT, circular convolution and its relationship with linear convolution, sectioned convolution methods: overlap add and overlap save, effect of zero padding,[7 hours]

Module 4: Introduction to the Fast Fourier Transform (FFT) algorithm, decimation-in-time and decimation-in-frequency algorithms. Implementation of Discrete-Time System: FIR system, IIR system, [6 hours]

Module 5: Design of Digital Filters: Design of FIR and IIR filters, Recent Developments.[9 hours]

Course Objectives

  • To study about digital signal processing and development of different filters.

Course Outcomes

1.Able to have basic knowledge of digital signal processing. <br />2. Able to anlyze digital systems in time and frequency domain. <br />3. Able to design and develop Digital LTI systems, FIR and IIR filters, FFT algorithms, etc.

Essential Reading

  • J.G. Proakis and D.G. Manolakis, Digital Signal Processing: Principles Algorithms and Applications, Pearson Education , 4e,2007.
  • S.K. Mitra, Digital Signal Processing: A computer based approach, McGraw Hill Education , 4e,2013.

Supplementary Reading

  • A.V. Oppenheim, R.W. Schafer, Digital Signal Processing, Pearson Education , 2015
  • Tarun Kumar Rawat, Digital Signal Processing,, Oxford , 2014