EECS20N: Signals and Systems

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Week 1

• Motivation
• Sound
• Signals
• More sounds
• Images
• Physical
• Sequences

Physical Attributes

Change over time of physical attributes can be represented as a time function. Examples:

• The trajectory of an airplane is represented as
  Position: Time → Reals ³
  where Position (t) = (x(t), y(t), z(t)) is its position at time t ∈ Time. Its position and velocity are represent by the function
  f: Time → Reals ⁶
  where f(t) = (x(t), y(t), z(t), v_x(t), v_y(t), v_z(t)).

• A weather map is a function
  AirTemp: X × Y → Temperature
  where X × Y ' Reals² is the area of interest and AirTemp(x, y) is the temperature at location (x, y).