Performed by: Asaf barel and Eli Ovits Instructor: Debby Cohen

1. Technion - Israel institute of technology department of Electrical Engineering הטכניון - מכון טכנולוגי לישראלהפקולטה להנדסת חשמל High speed digital systems laboratory המעבדה למערכות ספרתיות מהירות דו”ח סיכום פרויקט Subject: Sub-Nyquist Cyclostationary Feature Detection Performed by: Asaf barel and Eli Ovits Instructor: Debby Cohen סמסטר חורף 2014 1

2. High speed digital systems laboratory המעבדה למערכות ספרתיות מהירות Abstract Toady, Broadband communication signals are transmitted in the range of GHz, and includes several bands of information. In order to process the analog signal, it is necessary to convert it to digital representation. A direct sampling process (in Nyquist rate) is not possible, due to hardware limitations. In the recent years, a new method was developed for sampling sparse signals below the Nyquist rate. The system which implements this method is called Modulated Wideband converter (MWC, Mishali & Eldar, 2010). This system is noise sensitive, and a regular energy detection process is not sufficient for the detection of the signals. In this project, we implement an alternative method for signal detection which is called Cyclostationary detection. This method uses the properties of cyclostationary signals in order to distinguish between the communication signal and the noise. 2

3. ~ ~ ~ ~ High speed digital systems laboratory המעבדה למערכות ספרתיות מהירות System description: Sub-Nyquist Sampling - MWC system 3

4. High speed digital systems laboratory המעבדה למערכות ספרתיות מהירות Cyclostationary Signals 4

5. High speed digital systems laboratory המעבדה למערכות ספרתיות מהירות System Block Diagram Autocorrelation matrix creation Diagonal extraction Sub Nyquist digital signal Support recovery by compressed sensing methods 5

6. High speed digital systems laboratory המעבדה למערכות ספרתיות מהירות Simulation results 5