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

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.

Project Block Diagram

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.

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.

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.

Resources (cont.)

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

Gantt Chart

Thank you!