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Sub- Nyquist Sampling of Wideband Signals

Sub- Nyquist Sampling of Wideband Signals. Optimization of the choice of mixing sequences. Itai Friedman Tal Miller Supervised by: Deborah Cohen Technion – Israel Institute of Technology. Presentation Outline. System Description Project Objective Main Project Stages.

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Sub- Nyquist Sampling of Wideband Signals

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  1. Sub-Nyquist Sampling of Wideband Signals Optimization of the choice of mixing sequences Itai Friedman Tal Miller Supervised by: Deborah Cohen Technion – Israel Institute of Technology

  2. Presentation Outline • System Description • Project Objective • Main Project Stages

  3. Spectrum Sparsity • Spectrum is underutilized • In a given place, at a given time, only a small number of PUs transmit concurrently Shared Spectrum Company (SSC) – 16-18 Nov 2005

  4. Model ~ ~ ~ ~ • Input signal in Multiband model: • Signal support is but it is sparse. • N – max number of transmissions • B – max bandwidth of each transmission • Output: • Reconstructed signal • Blind detection of each transmission • Minimal achievable rate: 2NB << fNYQ Mishali & Eldar ‘09

  5. The Modulated Wideband Converter (MWC) ~ ~ ~ ~ Mishali & Eldar ‘10

  6. MWC – Recovery ~ ~ ~ ~ Now we can solve a linear set of equations for input signal:

  7. MWC – Recovery System

  8. MWC – Mixing & Aliasing • System requirement: are periodic functions with period called “Mixing functions” • Examples for : … 1 -1 Frequency domain

  9. Project Objective • Questions: • What are the best Mixing functions ? • Focusing on {+1,-1} functions, what properties should the sequences have? • Main Objective: • Finding optimal Mixing function sequences for effective reconstruction

  10. What is our part in the system? • Analog signal generation • Mixing • Filtering • Sampling • Recovery • The code already exists, we modify the mixing functions generator

  11. Main Project Stages • Deepening the understanding of the theory behind the system • Understanding the current achievements in the mixing functions field • Defining sequences criteria for optimal system performance • Simulating the different sequences in the MWC system using Matlab • Determining what are the optimal sequences based on simulations and publicating the findings

  12. Gantt (5 weeks)

  13. Thank you For listening And thanks Debby for the basis to our presentation

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