What This Document Is
This is a homework assignment for BME 513: Signal and Systems Analysis, offered at the University of Southern California in Spring 2014. It’s a problem set designed to reinforce your understanding of core concepts related to Fourier series and system analysis. The assignment focuses on applying theoretical knowledge to practical problems involving periodic signals and linear time-invariant (LTI) systems. It builds upon material covered in lectures, assigned readings, and supplemental YouTube videos.
Why This Document Matters
This assignment is crucial for students enrolled in a rigorous signal processing course. Successfully completing this homework will solidify your ability to decompose signals into their frequency components using exponential Fourier series, analyze the behavior of signals when passed through LTI filters, and apply key properties of signals and systems. It’s best utilized *after* you’ve thoroughly reviewed the relevant course material and are looking for a way to test and apply your understanding. Working through these problems will prepare you for more advanced topics and exams.
Common Limitations or Challenges
This assignment does *not* provide step-by-step solutions or fully worked-out examples. It presents problems that require independent application of the principles learned in class. It also assumes familiarity with the textbook by Lathi and the associated figures and equations referenced within. Access to computational software like MATLAB is suggested for certain parts, but the assignment itself doesn’t offer tutorials on using the software. It is designed to be a challenge, requiring you to actively engage with the material.
What This Document Provides
* Four distinct problems centered around the analysis of periodic signals.
* Exercises requiring the calculation and visualization of exponential Fourier series coefficients.
* A problem involving the application of a specified low-pass filter to a periodic signal.
* References to specific sections and problems within the Lathi textbook for further study.
* A list of additional practice problems for self-assessment.
* Clear point values for each problem, indicating their relative weight in your overall grade.
