Uploaded on

 

  • Full Name Full Name Comment goes here.
    Are you sure you want to
    Your message goes here
    Be the first to comment
    Be the first to like this
No Downloads

Views

Total Views
219
On Slideshare
0
From Embeds
0
Number of Embeds
0

Actions

Shares
Downloads
0
Comments
0
Likes
0

Embeds 0

No embeds

Report content

Flagged as inappropriate Flag as inappropriate
Flag as inappropriate

Select your reason for flagging this presentation as inappropriate.

Cancel
    No notes for slide

Transcript

  • 1. 21st May 2009 – Marseille, France
  • 2. Signal in time 2 Real part 1 0 -1 -2 Linear scale Energy spectral density 2000 1000 1500 500
  • 3. Time-Frequency Representation of Signal of Interest (GMSK): Piecewise Polynomial Representation Gradient Operation at Level 1 Gradient Operation at Level 2 – The Piecewise Polynomial is Decomposed as a Impulse Functions Question: Assuming that this sequence of impulses can be transmitted and received with high fidelity, is this characterization good enough to model GMSK based communication system?
  • 4. Signal of Interest Kernel
  • 5. Eigen Functions Normalized Hermite Polynomials Eigen Values
  • 6. ⎧ ⎫ ⎨ ⎬ FT · · · FT {Ψn (t)} = Ψn (t), ejωt = λp Ψn (ω) n ⎩ ⎭ p−times Possible because Eigen-functions are Orthonormal!
  • 7. Sampling Kernel
  • 8. 2 −j t2 cot θ ϕn (t) = e sinc(t − nT )