Wednesday, September 1, 2010

Class: 9/1/2010

The following were discussed in class today.
  • Homework assignment 1 and Lab assignment 1 will be due next week, not this Friday.
  • Discussed the differences between sin/cosine/complex exponential functions in continuous time and discrete time.
  • DT frequencies are limited to the fundamental range -1/2 <= f < 1/2.
  • Sinusoids are periodic when the frequencies are rational.
  • The "envelope" of a sinusoidal signal appears periodic for any frequency.
  • The period of a discrete time sinusoid is not necessarily the reciprocal of the frequency.
  • The period is the denominator in f=K/N when the fraction is reduced.
  • Aliasing of frequencies outside the fundamental range.
  • Sampling of sinusoidal signals.
  • Discrete time convolution.  Shift register (delay line) versus circular buffer.
  • Designing simple low pass filters.

1 comment:

  1. When we say that DT frequencies are limited to the fundamental range -1/2 <= f < 1/2, we mean 1/2 of the sampling frequency, right?

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