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Review: Fourier Analysis

ECE460 Spring, 2012. Review: Fourier Analysis. Common Fourier Transform Pairs. Fourier Transform Properties. Bandwidth. Extent of the significant spectral content of the signal for positive frequencies. Measuring Bandwidth: Time-Bandwidth Product:. Sampling Theorem.

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Review: Fourier Analysis

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  1. ECE460 Spring, 2012 Review: Fourier Analysis

  2. Common Fourier Transform Pairs

  3. Fourier Transform Properties

  4. Bandwidth Extent of the significant spectral content of the signal for positive frequencies. Measuring Bandwidth: Time-Bandwidth Product:

  5. Sampling Theorem Able to reconstruct any bandlimitedsignal from its samples if we sample fast enough.

  6. Linear Time-invariant Systems Filter Remember: the convolution property holds only for LTI systems. What makes a system Linear? What makes a system time-invariant?

  7. Example Filter Linear: Time-Invariant:

  8. Two More System Characteristics Causality: Stability:

  9. Phasor Analysis of Bandpass Signals Background: Phasors for Monochromatic Signals

  10. Phasor Analysis of Bandpass Signals Narrowband Signals: Define:

  11. Narrowband Signals: Continued

  12. Phasor Equivalent for Narrowband

  13. Transmitting Bandpass Signals through Bandpass Systems

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