DSP lesson 10

1
DSP lesson 10

• Schedule
• Questions from Fridays class
• Periodicity of the complex exponentials
• Discrete Fourier Transform (DFT) and the Inverse
  DFT (IDFT)
• Some properties of DFT

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Discrete Fourier Transform
3
Your Homework N 4
4
Discrete Fourier Transform
5
Complex Exponentials
6
Discrete Fourier Transform
7
Periodicity of W, N 8
8
Symmetric Transforms
9
Properties of the DFT (pg 52)

• Periodicity
• Redundancy real inputs (MATLAB ex)
• Linearity
• Real elements 0 and N/2 cases
• Zero extension increases resolution
• Zero insertion (interpolation) replicates
• Can be done in the sample or freq. domains
• More on this topic later