– getting further understanding of signals and Fourier Transforms – Series –
wavelet stuff – internet vs. book – went to school library today – found a couple of books to help – doing research for my research – found this very helpful compared to internet searches – Dr. Kim also loaned me a book on wavelets – between her book – which is very theoretical – and Gilbert Strang’s book – which is very hands on – feel like I have a good foundation on which to build further.
Fourier Transforms – read some to get a deeper understanding
Some applications of wavelets – signal analysis – data compression – i.e. pictures, music,videos,medical equipment, finger prints – face recognition – voice recognition, etc.
definitions of amplitude,frequency,period and angular velocity
formulas that show the relationship between time, frequency, amplitude,angular velocity
Fourier Series Formula
sound – difference between a sin and cosine wave auditory
combine them – harmony?
Radio – getting a signal vs. static “noise” – compare to visual signals
Read – “Who is Fourier? A Mathematical Adventure” by Transitional Collage of LEX
pages 1-77
Gilbert Strang Lecture from MIT Open Courseware Computational Math and Engineering – lecture 1 and 2
Beginning Matlab reading – tutorial and exercises
http://faculty.olin.edu/bstorey/Notes/Fourier.pdf
http://www.mathworks.com/moler/exm/chapters/preface.pdf
http://chaos.swarthmore.edu/courses/Phys50L_2006/Matlab/MatlabExercises.pdf