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Digital Signal Processing

 Summer Session, 2011
General Information

This course is a practical application of the mathematical tools of discrete-time systems.


MA-360 (Laplace and Fourier Analysis)


This course introduces many different aspects of the computer processing of digitally sampled systems.


The student will be able to use z-transforms in discrete-time system analysis and design. The student will
also be able to analyze and design sampled data systems such as digital filters.

Evaluation Methods

Student evaluation will be based upon three open-book, open-notes exams and a series of four lab projects.


Required Reading:


Recommended Reading:

Alan V. Oppenheim and Ronald W. Schafer. Digital Signal Processing. Prentice-Hall, 1975.

Required Text: None

Required Software:

The Student Edition of MATLAB, any edition, or Octave.

Required Reading: Notes
                                      Topics of Study

I.      Quantization

        A. A/D and D/A Conversion
        B. Truncation and Rounding Quantization

II.     Sampling

        A. Samplers and Spectra
        B. Spectra of Sampled Signals
        C. The Sampling Theorem

III.    z-Transforms

        A. Sampled Data Systems
        B. Relationship Between Laplace and z-Transforms
        C. Properties of the z-Transform

IV.     Basic Filtering

        A.   z-Transform Transfer Functions
        B.   Poles and Zeroes
        C.   Frequency Response of Digital Filters
        D.   Analog Versus Digital Filter Frequency Response

V.      IIR Filters

        A. IIR Filter Transfer Functions
        B. The Matched z-Transform
        C. The Bilinear Transformation

VI.     FIR Filers

        A. Linear Phase FIR Filters
        B. Fourier Series Design Method
        C. Windows

VII.    The Discrete Fourier Transform

        A. Truncated Fourier Series
        B. Cyclic Convolution
        C. Mixed-Radix FFT’s

VIII.   Recursive Systems

        A. Phase-Lock Loops and the Final Value Theorem
        B. Digital Phase-Lock Loops
                                  Schedule --- Summer, 2011

Week Date           Topic                                     Lab Due

1     5/23          Introduction,

      5/30          Holiday

2     6/1           Sampling

3     6/6           z-Transforms                              Lab #1

4     6/13          Exam #1

5     6/20          Basic Filtering, IIR Filters

6     6/27          IIR Filters                               Lab #2

      7/4           Holiday

7     7/11          FIR Filters

8     7/18          Exam #2                                   Lab #3

9     7/25          The Discrete Fourier Transform

10    8/1           Digital Phase-Lock Systems                Lab #4

      8/8           Final Exam (Two Hours)
Lab Projects

1. Quantization
2. Sampling and Basic Signal Processing
3. Filtering
4. Spectral Measurement


Exam #1                  20%
Exam #2                  20%
Final exam               20%
Lab projects             40%


The exam material will be drawn from examples in the lecture, homework problems, and the lab exercises.
Occasionally, a problem will be asked which requires the student to extend the presented material (slightly).
A detailed method for solving this problem may not be given (and there may be several ways to solve this
problem). These types of problems are typical in practical engineering. (Sometimes these problems are
counted as “bonus credit.”)

Make-up Exams

In the event that a student should miss an exam, an alternate evaluation in the form of a written report or
special project must be performed.
The topic of this report must be chosen from the topics covered by the missed exam. Verify the topic of the
report or the nature of the project with the instructor before starting the report or the project. Contact the
instructor as soon as it is known that an exam is to be missed.

Lab Reports

A lab report must be submitted for each lab assignment which contains a summary of the lab procedures,
charts, diagrams and drawings of the signals measured (or printouts) and a description of the theory being

Late Lab Reports

The grade of a late lab report will be reduced by ten percent for each week that it is late. No lab reports will
be accepted more than two weeks late. No lab reports will be accepted after the final exam.

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