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EEEG 313

EEEG 313                          SIGNALS AND SYSTEMS                                  3 Credits

Objective: To understand the properties of continuous and discrete time systems and signals used in all branches of electrical engineering.

Syllabus:

Introduction: Signal classification, use of signals, examples of signals, continuous and discrete time signals and systems

Linear Time-Invariant (LTI) Systems: Signal representation, use of pulses; Discrete-time LTI-systems: the convolution sum; Continuous-time LTI-systems: the convolution integral; Properties of LTI-systems

Fourier Series and Transform: Fourier series: representation of periodic signals and properties; Fourier integral: representation of aperiodic and periodic signals; Forward and reverse/inverse Fourier transforms; Fourier transform properties

Fourier Analysis for Discrete Time Signals and Systems: Discrete time Fourier series: representation of periodic signals and properties; Discrete time Fourier transform (DTFT): representation of aperiodic signals; Forward and inverse/reverse DTFT; Properties of DTFT

Signal Transmission: Filtering: frequency selective and frequency shaping; Modulation

Noise, Energy and Power: White and colored noise, stochastic signals, finite energy and finite power signals, Parseval's theorems, signal to noise ratio

Sampling of Continuous Signals: Sampling and aliasing, the sampling theorem, conversion to discrete time signals, reconstruction and zero-order hold compensation

Discrete Time Signals and Systems: Discrete time systems and difference equations; z-transform: convergence, properties, finite impulse response (FIR) and infinite impulse response (IIR) filters, correlation: cross correlation and auto correlation

References:

  1. Poularikas and Seely, Signals and Systems 2nd Ed., PWS- Kent Publishers 1991
  2. Oppenheim et al, Signals and Systems, PHI 1995
  3. Chen, System and Signal Analysis, Saunders College Publishing
  4. Proakis and Manolaakis, Digital Signal Processing 2nd Ed., PHI 1995
 

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