EE 685 Digital Signal Processing - Fall 2015-2016

    Contents:
  1. Deterministic signals: definition Basic Signals: impulse and unit step functions Sampling: digital and analog frequency Fourier series. Fourier transform. z-Transform Convolution, correlation, periodic convolution. Filters. IIR. FIR. Fourier series method for FIR filter design. Smoothing windows.
  2. Random signals Expectation. Moments. Stationary and wide sense stationary r.v. Ergodic r.v. Correlation. Correlation coefficient. Uncorrelatance. Independence. Response of LTI systems to a stationary input. Periodogram. Averaged periodogram. Higher-order statistics. Bi-spectrum.
  3. Signal models. Auto-regressive. Moving average. Auto-regressive moving average. Model order prediction.
  4. Forward and and Backward Prediction. Wiener adaptive filter, Forward prediction. Backward pediction. Lattice filters.
  5. Signal decomposition. Orthogonal and bi-orthogonal decomposition. Orthogonal transforms. DCT. DST. KLT.
  6. Multiresolution signal decomposition. Two-band filter banks.
  7. Frequency estimation Eigen-space decomposition.
  8. Time-frequency distributions.
    Textbooks:
  1. Digital Signal Processing. John G. Proakis and Dimitris G. Manolakis. 2007. Pearson Prentice Hall (Primary textbook).
  2. Digital Signal Processing: A Computer-Based Approach. Sanjit K. Mitra. September 13, 2010. John Wiley & Sons, Inc.
  3. Advanced Digital Signal Processing and Noise Reduction. Saeed V. Vaseghi. January 2009. McGraw-Hill Education
  4. Signals and Systems. Alan V. Oppenheim. 1997. Prentice Hall.
  5. Digital Signal Processing. Murat Kunt. 1986. Artech House
  6. Discrete-Time Signal Processing, 3/E. 2010. Alan V. Oppenheim and. Ronald W. Schafer. Pearson Prentice Hall
  7. Mathematical Principles of Signal Processing. 2002. Pierre Bremaud. Springer-Verlag, New York

    Some educational/explanatory papers and tutorials and web places
  1. A good course web page for digital signal processing: http://kom.aau.dk/~zt/cources/DSP/index.htm
  2. Julius Orion Smith III; , "Introduction to Digital Filters with Audio Applications,"URL: https://ccrma.stanford.edu/~jos/fp/


Evaluation and Grading

Students will have a midterm exams and a final exam. The exams will be written.
Grade = 0.4 x Midterm + 0.6 x Final


Fall Semester 2012-2013

Midterm Exam I Questions (EE 685)


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