Unit 1 Introduction to Signals & Systems

12 lecture hours

• Basic definitions of signals and systems
• Basic elementary signals
• Classification of signals and systems
• Signal operations and properties
• Basic continuous time signals
• Basic system properties
• Case study of different signals

Unit 2 Behaviour of Continuous time (CT)& Discrete Time(DT) Linear

8 lecture hours

• Time Invariant (LTI) System: Impulse response characterization and convolution for CT- LTI and DT-LTI systems
• Properties of LTI systems
• LTI systems characterized by Differential and difference equations

Unit 3 Introduction to Fourier Series, Fourier Transform

• Fourier Series Representation of periodic Signals
• Fourier series
• Waveform 12 27 Symmetries
• Calculation of Fourier Coefficients
• Frequency spectrum of aperiodic signals
• Fourier Transform
• Relation between Laplace Transform and Fourier Transform
• Properties of Continuous Time Fourier transform
• System Analysis using Fourier Transform

Unit 4 Sampling & Reconstruction

5 lecture hours

• Representation of digital signals
• The Sampling Theorem
• Sampling with a zero order hold
• Reconstruction of a signal from its samples using interpolation
• Aliasing and its effects

Unit 5 Z Transform

• The z-Transform
• Convergence of z-Transform
• Properties of z-Transform
• Inverse z-Transform 8 18