Lecture 14 Blog, ECE438 Fall 2011, Prof. Boutin

Friday September 23, 2011 (Week 5) - See Course Outline.

Having 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 previous lecture, we observed that, under certain circumstances, a low-pass filter could be applied to this upsampling so to obtain the signal

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

We then began discussing the Discrete Fourier Transform (DFT).

Relevant Rhea pages

• A page about the DFT written by a student
• Recommended exercises of Fourier series computations for DT signals (to brush up on Fourier series))

Action items

• Keep working on the third homework
• Solve the following practice problems and share your answer for feedback
  • Compute this DFT
  • Compute this other DFT

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