CS223 · Chapter 4 · Annotated SlidesApplications to Difference Equations and Signals
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Applications to Difference Equations and Signals

Discrete-time signals, periodic signals, linear difference equations, and the solution space of a homogeneous linear difference equation.

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All 10 slides
  1. 1 A discrete signal is an infinite sequence of numbers {y } where k
  2. 2 A periodic signal is signal for which there exist a positive integer q
  3. 3 Slide 3
  4. 4 Slide 4
  5. 5 Slide 5
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  8. 8 Slide 8
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A discrete signal is an infinite sequence of numbers {y } where k

Slide 1: A discrete signal is an infinite sequence of numbers {y } where k

Notes

  1. A discrete signal is a sequence {yₖ}. A linear difference equation: a₀yₖ₊ₙ + … + aₙyₖ = zₖ.

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A periodic signal is signal for which there exist a positive integer q

Slide 2: A periodic signal is signal for which there exist a positive integer q
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Notes

  1. Solutions of a homogeneous n-th order linear difference equation form an n-dimensional space; try yₖ = rᵏ to get the auxiliary equation.

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