Introduces mathematical and physics principles of acoustics in digital signal processing applications. Complex analysis and Fourier methods, physics of vibrations and waves, solutions of the wave equation, digital convolution and correlation methods, and Maximum Length Sequence method in signal analysis and spread-spectrum applications. Prerequisite: PHYS 123; MATH 120.
This is a highly interdisciplinary course combining elements of complex calculus, elementary acoustics and physics of music, digital signal processing including the powerful method of maximum-length sequence, and advanced data representation such as the Wigner distribution. The course ends with a brief but meaningful introduction to Quantum Computing.
Student learning goals
elementary theory of complex variables (poles, residues and contour integration)
signal processing: elementary (Fourier transform and series) and advanced (Maximum-Length Sequence, Wigner distribution)
General method of instruction
lectures, homework, lab exercise, and a field trip to measure room acoustics.
Pre-requisites are PHYS 123 or equivalent, and MATH 136 or equivalent. ( MATH 136 is equivalent to "two years of calculus".)
Class assignments and grading
Homework, plus a term paper.
Term paper plus Final Exam.