Lecture 13 Blog, ECE438 Fall 2011, Prof. Boutin

Wednesday September 21, 2011 (Week 5) - See Course Outline.


In Lecture 13, we discussed the possibility of an extra credit project involving signal resampling and filtering.

After this slight diversion, we continued discussing the sampling

$ x_1[n]=x(T_1 n) $

of a continuous-time signal x(t). We obtained and discussed the relationship between the DT Fourier transform of $ x_1[n] $ and that of a downsampling $ y[n]=x_1[Dn] $, for some integer D>1. We then obtained the relationship between the DT Fourier transform of $ x_1[n] $ and that of an upsampling of x[n] by a factor D. In the next lecture, we will use this relationship to figure out how to transform this signal into the (higher resolution) signal

$ x_2[n]=x\left( n \frac{T_1}{D} \right) $.


Side notes:



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