ENEE 222 - Elements of Discrete Signal Analysis

Number of Credits: 4
Identify the basic tools for signal analysis, such as real and complex sinusoids, sampling, linear transformations, and orthogonal projections. Explain the concepts of discrete and continuous time in signal analysis. Utilize the discrete Fourier transform (DFT) to analyze signals and introduce Fourier series. Break down the methodologies in linear time-invariant systems, including convolution (linear and circular), system functions, and frequency-selective filtering. Assess the effectiveness of FIR filters in signal processing. Develop a comprehensive understanding of signal analysis by integrating the discussed tools and methodologies.(Spring)Four hours lecture each week. Four Credits. Four billable hours.

Pre-requisite(s): MATH 136 and CIS 132 with minimum grades of C.

Course Outcomes: Upon successful completion of this course, students will be able to:
1. Interpret discrete-time sinusoids using knowledge of sampling rate and bandwidth.

2. Utilize complex phasors to represent and manipulate real-valued sinusoids.

3. Represent finite-dimensional linear transformations by matrices and interpret the latter in terms of the former.

4. Solve orthogonal projections and least-squares approximations for both real and complex vectors.

5. Compute simple low-dimensional DFTs and their inverses from first principles.

6. Interpret the information in a DFT spectrum to reconstruct a time-domain signal as a sum of its Fourier components.

7. Understand and apply DFT properties pertaining to index reversal, index shift, modulation, periodic extension and zero-padding.

8. Compute Fourier series coefficients of simple periodic signals in continuous time.

9. Determine the frequency response of a FIR filter interpret the frequency response in the context of frequency selection.

10.Compute the time-domain response of a FIR filter to exponential, periodic and finite-duration inputs.

11. Utilize MATLAB to visualize, analyze and process signals and images, thereby applying the theory and tools taught in the lectures.