Electrical and Computer Engineering

304.  Signal and Systems II.  Sampling and reconstruction of signals.  The Z Transform and discrete-time systems analysis.  Stability of discrete-time systems.  Design  of analog and digital filters.  The Discrete Fourier Transform and its applications.   The Fast Fourier Transform.  State-space analysis.  Three lectures.  Spring  (Cr.3) 

Prerequisite:     ELEC 303.

Goals:        To develop the students ability to model the discrete-time systems; analyze linear,                    time-invariant DT systems using convolution sum and z-tranform;  find amplitude                     and phase response of a discrets-time systems;  and analyze design analog, IIR                      and FIR filters.

Texts:         "Signal & Systems" R.E. Ziemer, W.H.Tranter and D.R. Fanning, 4th., Ed., 

                    Prentice Hall  1998

Prerequisites by Topic: 

    1.      Fouier Series

     2.      Fouier Transform

     3.      Convolution and convolution representation of LTI CT systems

     4.      Laplace transform

     5.      Frequency response and stability of LTI CT systems

Topics:

     1.      Discrete Time Signals (1 lecture)

     2.      Sampling Theorem and Signal Reconstruction (3 lectures)

     3.      The z-Transform and its Applications (5 lectures)

     4.       Discrete-Time Systems, Difference Equations, Discrete-Time Convolution (4 lectures)

     5.      Stability of Discrete-Time Systems (2 lectures)

     6.      Steady-State Frequency Response of Discrete-Time Systems (2 ½ lectures)

     7.      Parametric modeling (3 ½ lectures)

     8.      Design of Analog Filters (4 lectures)

     9.      Realization Methods of Pulse Transfer Functions (1 class)

   10.      Discrete-Approximations of Analog Filters, IIR Filter Design,  FIR Filter  Design

                (7 lectures)

   11.      Discrete Fouier Transform and Fast Fourier Transform (3 lectures)

   12.      Applications of DFT and FFT (3 lectures)

   13.      Testing; three tests, final examination (5 hours) 

Computer Usage:

Students use the stored program (MATLAB) on the computer to compute convolution sum and DFT via FFT; do partial fraction expansion and pole-zero plots in z-plane; obtain the frequency responses of analog filters and digital systems; design the digital filters and verify the design of digital and analog filters. Pspice is used only to verify the design of analog filters. 

Statics Usage:

Parameters of the unknown systems are found by using MATLAB Signal Processing Toolbox.

ABET category content as estimated by faculty member who prepared this course description:  Engineering Design: 1 credit or (33%)

Engineering Science: 2 credits or (67%) 

Prepared by:   Dr. Nevazt Ozturk,