Module 1:LTI Discrete-Time Systems in the Transform Domain: Transfer function classification based on magnitude and phase characteristics, Types of Linear-phase FIR transfer functions, simple digital filters, Complementary transfer functions, Inverse systems, Algebraic stability test. [4Hours]

Module 2:Digital filter structures: Basic FIR and IIR filter structures, Allpass filters, Computational complexity of digital filter structures. [6 Hours]

Module 3:IIR digital filter design: Design of lowpass, highpass, bandpass and bandstop IIR filters, Spectral transformations, Computer-aided design of IIR digital filter FIR digital filter design: Design based on windowed Fourier series, Computer-aided design of FIR digital filter, Design of computationally efficient FIR digital filters. [8 Hours]

Module 4: Multirate DSP: Interpolation and decimation filter bank design polyphasestructures. [10 Hours]

Module 5: Adaptive systems: Examples and applications. Adaptive linear combiner: the performance function, gradient and minimum mean square error, alternative expression of gradient, LMS, complex LMS, NLMS, sign-error, transform domain LMS, Recursive least square algorithm, windowed RLS, computational complexity, Block adaptive filter, Convergence analysis. [10 Hours]

To provide detailed understanding of digital filter design and stability analysis.

Learning about designing adaptive systems for filtering applications.

Understanding of multirate systems and their applications for signal analysis and synthesis.

CO1:Students will learn how to design an application specific filter for the given specifications.
CO2: Understanding of digital filter structures to lessen the overall computational cost of the system.
CO3: Utility of multirate systems and their applications in signal analysis.
CO4: Thoughtful of adaptive systems and their utility in real-time processing of signals.
CO5: Student will learn different types of adaptive filters and subsequently use them based on the requirements.

S.K.Mitra, Digital Signal Processing: A Computer-Based Approach, McGraw Hill Education (India) 2013 , 4th Edition

S.Haykin and T. Kailath, Adaptive Filter Theory, Pearson Education,2005 , 4th Edition.

1. A.V. Oppenheim, R.W. Schafer, Digital Signal Processing, Pearson Education , 2004

J.G. Proakis and D.G. Manolakis, Digital Signal Processing: Principles Algorithms and Applications, Pearson Education , 2005