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Steve Tjoa
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I wrote this handoutthis handout as a complement to Oppenheim and Willsky. Please take a look at Table 4.1 on page 14, reproduced below. (Click for larger image.) I wrote that table specifically to answer questions such as yours.

Comparison of Fourier series and Fourier transform.

Note the similarities and differences among the four operations:

  1. "Series": periodic in time, discrete in frequency
  2. "Transform": aperiodic in time, continuous in frequency
  3. "Continuous Time": continuous in time, aperiodic in frequency
  4. "Discrete Time": discrete in time, periodic in frequency

I hope you find these notes helpful! Please feel free to distribute as you wish.

I wrote this handout as a complement to Oppenheim and Willsky. Please take a look at Table 4.1 on page 14, reproduced below. (Click for larger image.) I wrote that table specifically to answer questions such as yours.

Comparison of Fourier series and Fourier transform.

Note the similarities and differences among the four operations:

  1. "Series": periodic in time, discrete in frequency
  2. "Transform": aperiodic in time, continuous in frequency
  3. "Continuous Time": continuous in time, aperiodic in frequency
  4. "Discrete Time": discrete in time, periodic in frequency

I hope you find these notes helpful! Please feel free to distribute as you wish.

I wrote this handout as a complement to Oppenheim and Willsky. Please take a look at Table 4.1 on page 14, reproduced below. (Click for larger image.) I wrote that table specifically to answer questions such as yours.

Comparison of Fourier series and Fourier transform.

Note the similarities and differences among the four operations:

  1. "Series": periodic in time, discrete in frequency
  2. "Transform": aperiodic in time, continuous in frequency
  3. "Continuous Time": continuous in time, aperiodic in frequency
  4. "Discrete Time": discrete in time, periodic in frequency

I hope you find these notes helpful! Please feel free to distribute as you wish.

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Steve Tjoa
  • 426
  • 3
  • 5

When I co-lectured Signals and Systems, I wrote this handout as a complement to Oppenheim and Willsky. Please take a look at Table 4.1 on page 14, reproduced below. (Click for larger image.) I wrote that table specifically to answer questions such as yours.

Comparison of Fourier series and Fourier transform.

Note the similarities and differences among the four operations:

  1. "Series": periodic in time, discrete in frequency
  2. "Transform": aperiodic in time, continuous in frequency
  3. "Continuous Time": continuous in time, aperiodic in frequency
  4. "Discrete Time": discrete in time, periodic in frequency

I hope you find these notes helpful! Please feel free to distribute as you wish.

When I co-lectured Signals and Systems, I wrote this handout as a complement to Oppenheim and Willsky. Please take a look at Table 4.1 on page 14, reproduced below. (Click for larger image.) I wrote that table specifically to answer questions such as yours.

Comparison of Fourier series and Fourier transform.

Note the similarities and differences among the four operations:

  1. "Series": periodic in time, discrete in frequency
  2. "Transform": aperiodic in time, continuous in frequency
  3. "Continuous Time": continuous in time, aperiodic in frequency
  4. "Discrete Time": discrete in time, periodic in frequency

I hope you find these notes helpful! Please feel free to distribute as you wish.

I wrote this handout as a complement to Oppenheim and Willsky. Please take a look at Table 4.1 on page 14, reproduced below. (Click for larger image.) I wrote that table specifically to answer questions such as yours.

Comparison of Fourier series and Fourier transform.

Note the similarities and differences among the four operations:

  1. "Series": periodic in time, discrete in frequency
  2. "Transform": aperiodic in time, continuous in frequency
  3. "Continuous Time": continuous in time, aperiodic in frequency
  4. "Discrete Time": discrete in time, periodic in frequency

I hope you find these notes helpful! Please feel free to distribute as you wish.

deleted 42 characters in body
Source Link
Steve Tjoa
  • 426
  • 3
  • 5

When I co-lectured Signals and Systems, I wrote this handout as a complement to Oppenheim and Willsky. Please take a look at Table 4.1 on page 14, reproduced below. (Click for larger image.) I wrote that table specifically to answer questions such as yours.

I hope you find it helpful! Please feel free to distribute as you wish.Comparison of Fourier series and Fourier transform.

Edit: Here is Table 4.1. (Click for larger image.) Note the similarities and differences among the four operations.

Comparison of Fourier series and Fourier transform.

Edit 2: Even shorter summary, for the lazy:

  1. "Series": periodic in time, discrete in frequency
  2. "Transform": aperiodic in time, continuous in frequency
  3. "Continuous Time": continuous in time, aperiodic in frequency
  4. "Discrete Time": discrete in time, periodic in frequency

I hope you find these notes helpful! Please feel free to distribute as you wish.

When I co-lectured Signals and Systems, I wrote this handout as a complement to Oppenheim and Willsky. Please take a look at Table 4.1 on page 14. I wrote that table specifically to answer questions such as yours.

I hope you find it helpful! Please feel free to distribute as you wish.

Edit: Here is Table 4.1. (Click for larger image.) Note the similarities and differences among the four operations.

Comparison of Fourier series and Fourier transform.

Edit 2: Even shorter summary, for the lazy:

  1. "Series": periodic in time, discrete in frequency
  2. "Transform": aperiodic in time, continuous in frequency
  3. "Continuous Time": continuous in time, aperiodic in frequency
  4. "Discrete Time": discrete in time, periodic in frequency

When I co-lectured Signals and Systems, I wrote this handout as a complement to Oppenheim and Willsky. Please take a look at Table 4.1 on page 14, reproduced below. (Click for larger image.) I wrote that table specifically to answer questions such as yours.

Comparison of Fourier series and Fourier transform.

Note the similarities and differences among the four operations:

  1. "Series": periodic in time, discrete in frequency
  2. "Transform": aperiodic in time, continuous in frequency
  3. "Continuous Time": continuous in time, aperiodic in frequency
  4. "Discrete Time": discrete in time, periodic in frequency

I hope you find these notes helpful! Please feel free to distribute as you wish.

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