Exploring Discrete Fourier Transform in Wireless Networks - LAB 1

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Dive into the world of Discrete Fourier Transform with a focus on Wireless Networks LAB 1. Learn about complex signals, Euler's formula, DFT properties, and more through informative visual aids.

  • Wireless Networks
  • Signal Processing
  • Fourier Transform
  • Complex Signals

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Presentation Transcript


  1. Discrete Fourier Transform COS 463: Wireless Networks LAB 1

  2. Complex Signal Euler s Formula Complex Signal 2

  3. DFT Sine in time domain 3

  4. DFT Sine in frequency domain (DFT) 4

  5. DFT Shift Sine in frequency domain (DFT) DFT Shift (central frequency = 0) Frequency at k-th bin is f = k * sample rate / N 5

  6. DFT Cosine in time domain 6

  7. DFT Cosine in frequency domain (DFT) 7

  8. DFT Shift Cosine in frequency domain (DFT) DFT Shift (central frequency = 0) 8

  9. DFT Sum of 2 Sins in time domain 9

  10. DFT Sum of 2 Sins in frequency domain 10

  11. DFT Sum of 2 Sins in frequency domain DFT Shift (central frequency = 0) 11

  12. DFT Sum of 2 Sins in time domain Different Amplitude 12

  13. DFT Sum of 2 Sins in frequency domain 13

  14. DFT Sum of 2 Sins in frequency domain DFT Shift (central frequency = 0) 14

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