E E 235
Introduction to continuous time signal analysis. Basic signals including impulses, pulses, and unit steps. Periodic signals. Convolution of signals. Fourier series and transforms in discrete and continuous time. Computer laboratory. Prerequisite: either MATH 136, MATH 307, or AMATH 351, any of which may be taken concurrently; PHYS 122; CSE 142, which may be taken concurrently.
The course will introduce students to continuous-time signals and systems analysis. Topics include: basic signals (unit impulse, unit step, exponential and sinusoidal signals), basic system properties, the convolution integral for LTI systems, Fourier series representation of periodic signals, the Fourier transform, filters, impulse-train sampling, modulation and demodulation, and the Laplace transform. Supplementing the material is a weekly computer laboratory session introducing students to Matlab.
Student learning goals
Describe signals in different domains (time, frequency, and Laplace) and map characteristics in one domain to those in another (e.g. periodicity in the time domain with impulses in frequency and poles on the jw-axis).
Understand the implications of different system properties and how to test for them.
Perform convolutions for arbitrary and closed-form continuous-time signals.
Analyze LTI systems given different system representations (including input-output equations, impulse response, frequency response and transfer function), and translate between these different representations.
Understand how the sampling rate affects the frequency components of the sampled signal.
Use and understand standard EE terminology associated with filtering and LTI systems (e.g. LPF, HPF, impulse response, step response, etc.)
General method of instruction
Four lectures a week with instruction performed mostly on the whiteboard and occasional use of animations and slides to supplement the material. Time in lecture will be spent introducing and presenting new material, solving examples step by step, and giving students a group class assignment to test and reinforce material covered.
Calculus Complex Number Representation and Operations Computer Programming
Class assignments and grading
Weekly homework assignments, weekly lab exercises and reports, class assignments given in lecture throughout the quarter, and a single writing assignment.