Module I

Discrete Fourier transforms: Fourier Transform, Fourier analysis of discrete time signals and systems: Discrete time Fourier series – Discrete Time Fourier Transform – properties of DTFT – Introduction to DFTproperties of DFT – linear filtering methods based on DFT – FFT – efficient computation of the DFT of a 2Npoint real sequences – correlation – use of FFT in linear filtering and correlation.

Module II

Digital filters: Introduction, specifications of practical filters, Characteristics of commonly used analog filters – IIR filters: design by approximation of derivatives – impulse invariance and Bilinear transformation – frequency transformations for analog and digital filters. FIR filters: symmetric and anti-symmetric FIR filters – design of linear phase FIR filter using Windows – FIR differentiators – Hilbert transforms – comparison of design methods for linear phase FIR filters

Module III

Digital filters realizations: Structures for IIR systems – direct form structures, cascade form structures, parallel form structures, Structures for FIR systems – direct form structures, Linear phase and cascade form structures.Applications of DSP – a few case studies. Elementary idea about the architecture and important instruction sets of TMS320C 5416/6713 processor, writing of small programs in assembly Language.

Course Objectives

• To introduce the mathematical methods applied for signal processing.
• to provide a thorough understanding and working knowledge of signal processing techniques
• Design and Implementation of digital filters.

Course Outcomes

• CO1: Ability to use concepts of trigonometry, complex algebra, Fourier transform, z-transform.
• CO2: Ability select proper tools for time domain and frequency domain implementation-DFT FFT
• CO3: Ability to design, implementation, analysis and comparison of digital filters.
• CO4: Familiar with DSP processors.

CO – PO Mapping

Text Book(s) / Reference(s)

• John G Proakis, G. Manolakis, “Digital Signals Processing Principles, Algorithms, Applications”, Prentice Hall India Private Limited, Fourth Edition, 2007.
• Sanjit K. Mitra, “Digital Signal Processing. A Practical approach”, Tata McGraw Hill Publishing Company Limited, 2005.
• Allen V. Oppenheim, Ronald W. Schafer, “Discrete time Signal processing”, Prentice Hall India Private Limited, Fifth Edition, 2000.
• Digital Signal Processing-implementation using DSP microprocessors with examples from TMS320C54XX, Avtar Singh & S. Srinivasan, Cengage Learnings.

Evaluation Pattern 50:50 (Internal: External)