Lecture 15 Blog, ECE438 Fall 2013, Prof. Boutin
Monday September 23, 2013 (Week 6) - See Course Outline.
Jump to Lecture 1, 2, 3 ,4 ,5 ,6 ,7 ,8 ,9 ,10 ,11 ,12 ,13 ,14 ,15 ,16 ,17 ,18 ,19 ,20 ,21 ,22 ,23 ,24 ,25 ,26 ,27 ,28 ,29 ,30 ,31 ,32 ,33 ,34 ,35 ,36 ,37 ,38 ,39 ,40 ,41 ,42 ,43 ,44
Today we talked about downsampling. More specifically, we derived the relationship between the DTFT of $ x_2[n] $ and the DTFT of $ x_1[n] $ when $ x_2[n]=x_1[Dn] $ for some positive integer D. Remember that this relationship holds regardless of how $ x_1[n] $ was obtained. In particular, it holds even if $ x_1[n] $ is a sampling of a signal that violates Nyquist condition.
Action Items
- Keep working on the fifth homework. It's due Friday.
- Continue preparing for the first test:
- Review the relationship between the z-transform and the Fourier transform
- Review how to invert a z-transform
Previous: Lecture 14 Next: Lecture 16
