1. Sub-Nyquist Reconstruction Characterization Presentation Winter 2010/2011 By: Yousef Badran Supervisors: Asaf Elron Ina Rivkin Technion Israel Institute of Technology

2. Project Overview Part of the Modulated Wideband Converter project cluster. – A system for sub-Nyquist sampling of multiband signals. Sub-module of the reconstruction block. To be implemented on a card consisting of 4 Altera Stratix III FPGAs, using a single FPGA.

3. Project Block Diagram

4. Input and Output Input: Sequences z[n] representing spectrum slices At most N sequences, one per slice Spectral support slices s Problem: Spectral support and carrier frequencies of bands are unknown. A single slice may contain more than one band (at most N/2). A single band might be divided between two slices.

5. Input and Output Output: A sequence of vectors, one per spectral slice. Each vector describes energy distribution in the slice; areas in the slice that hold energy. Requires high resolution vectors. OR A sequence of numbers, at most N/2 pairs of numbers per spectral slice. Each pair of numbers describes the beginning and end of energy in a slice.

6. Requirements and Resources Requirements – 18-bit fixed-point representation. – Fit VHDL implementation on Altera Stratix III FPGA EP3SE260. Resources —Reference floating-point MATLAB implementation. —Memory: 2.5 GB in 3 banks.

7. Resources (cont.)

8. Mathematical Tools Project Workflow Algorithm Resources & requirements Understand theory and reference implementation Propose alternative and equivalent calculation MATLAB Floating-point representation 18-bit fixed point representation Possible C implementation Find implementations of required mathematical operations in VHDL Implement missing tools in VHDL VHDL Design Creating a block diagram Designing the system in VHDL Design Simulation ModelSim Creat testbench for each VHDL design Simulations Synthesis Timing simulations using Altera Stratix III libraries

9. Gantt Chart

10. Thank you!