ECE310

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ECE310 Lecture 8

• Signal Energy and Power
• 01/29/01

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General Transformation (Again)
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Singularity Signals and Related

• Unit step function u(t)
• Unit ramp function ramp(t)
• Unit rectangle function rect(t)
• The signum sgn(t)
• Unit triangle
• Unit sinc function sinc(t)
• Unit impulse function d(t)
• Unit comb function comb(t)

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Relationships

• ramp(t)
• Integral of the step function u(t)
• The convolution of rect(t) with itself
• sinc(t)
• The continuous Fourier transform of rect(t)

• u(t)
• rect(t)
• sgn(t)

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Signal Energy and Signal Power

• Signal energy
• Usually infinite
• Signal power
• Usually finite
• Power of periodic signals (T is the period)

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Energy Signal and Power Signal

• Energy signals
• Signals with finite energy
• Power signals
• Signals with infinite energy but finite power
• No real, physical signal can have infinite signal
  power
• What kind of signal has infinite power?

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Examples