Skip to content
VIGRE seminar, summer 2000: Signal Analysis
- Instructor
- Fran Narcowich
- Students enrolled
- Matt Riddle, (undergraduate mathematics student); John
McDowell, (undergraduate physics student); Eric Bahuaud, Arturo
Diaz, Sami Hamid, Adam Harbaugh, Troy Henderson, Trae Holcomb,
Tzanio Kolev, Quoc Le Gia, Wuxiang Wu, (graduate mathematics
students)
- Description
- This seminar had the participation of the students in our REU
Program. Signal analysis is the study of signals arising from
either audio or video equipment. Several key applications of signal
analysis were addressed.
- Filtering
- A sound signal is often corrupted by noise (i.e., frequencies
different from those in the desirable parts of the signal). Signal
analysis can be used to filter out this unwanted noise. A Dolby
filter, which filters out tape-hiss on cassette tapes, is an
example along these lines.
- Data Compression
- Digitized audio and video signals are usually quite large, and
are difficult to transmit electronically. Efficient transmission of
these signals often requires compression, a process that eliminates
the less significant parts of a signal. Compression is used, for
example, in transmitting fingerprints from a police squad car to
FBI Headquarters (in Washington, DC) to identify crime
suspects.
- Detection
- Signals often have some feature that the user wants to detect.
For example, the sound made by a mechanical device often changes
when it does not operate correctly. A device that detects this
change would be useful to the machine operator.
Fourier analysis and wavelets were two of the basic tools used to
address the above applications. This seminar gave a brief overview
of Fourier analysis techniques (e.g., FFT) and of wavelet analysis.
Students then worked on projects associated with one of the above
applications.