DSP 1

I have taken Optimal and Adaptive Digital Signal Processing (EECE 6510) as a course in this semester. The first class was to be held on the last Monday which turned out to be the Martin Luther King Jr. Day and so it shifted to the next Monday. Each class is going to be about three hours in length, certainly it will be strenuous for the nerves. Some materials have been suggested by our teacher for reviewing including Fourier Transform, Z Transform, Sampling, LTI Systems, Filter Design, and also Probability Densities, Random Variables and Processes, and Autocorrelation. I am reading Understanding Digital Signal Processing by Lyons for some of the review materials.

1. Fourier Transform:

• Each DFT (Discrete Fourier Transform) output term is the sum of the term-by-term products of an input time-domain sequence with sequences representing a sine and a cosine wave.
• For real inputs, an N-point DFT's output provides only N/2+1 independent terms.
• The DFT is a linear operation.
• The magnitude of the DFT results are directly proportional to N.
• The DFT's frequency resolution is fs/N.