1. Number and title of course: EE 120 – Signals and Systems 2. Course objectives: This course introduces mathematical techniques used in the design and analysis of signals and systems. The intention is to promote an understanding of the fundamental systems concepts in electrical engineering fields such as communications, control, and signal processing. 3. Topics Covered: Signals and Systems • Linearity, causality, BIBO stability, time invariance, memory, invertibility Linear Time-Invariant Systems • Convolution integral and convolution summation • Impulse response, frequency response • Differential equations, homogeneous and particular solutions • Difference equations Fourier Series • Continuous-time Fourier series, Gibbs phenomenon • Discrete-time Fourier series, Discrete Fourier Transform, matrix representation Fourier Transform • Continuous-time Fourier transform • Discrete-time Fourier transform • Relation of four Fourier series/transforms Sampling • Sampling theorem • Analog-to-digital conversion, aliasing • Upsampling and downsampling • Digital-to-analog conversion, zero-order hold and first-order hold • Digital processing of continuous-time signals • Bandpass sampling Communication • Pulse amplitude modulation, Nyquist pulses, synchronization • Frequency modulation, narrowband approximation • Discrete tone modulation Control • Laplace Transform, region of convergence • Feedback systems, pole-zero plots, stability, root locus • Geometric evaluation of Fourier transform • Bode Plots Z Transform • Two-sided z-transform, region of convergence, relation of z-transform to discrete time Fourier transform • Stability of discrete-time systems • One-sided z-transform, application to solving difference equations Filter Design • Analog prototype, Bilinear transform • Stability, causality, selection of poles and zeros • Non-ideal filter effects4. Relationship of course to program objectives: EECS 120 requires students to apply a fundamental knowledge of mathematics, science and engineering to solve electrical and computer engineering problems. Students learn modern skills, techniques and engineering tools. They receive extensive training in systems theory and design, covering electrical engineering fields such as communications, control, and signal processing. 5. Prepared by: Kannan Ramchandran and Mark Johnson