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ECE310 – Lecture 8

ECE310 – Lecture 8. Signal Energy and Power 01/29/01. General Transformation (Again). 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)

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ECE310 – Lecture 8

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  1. ECE310 – Lecture 8 Signal Energy and Power 01/29/01

  2. General Transformation (Again)

  3. 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)

  4. u(t) rect(t) sgn(t) 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) Relationships

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

  6. 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?

  7. Examples:

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