Compressive Sampling for PPM and FSK Modulated Signals

Compressive Sampling for PPM and FSK Modulated Signals

Gishkori, S.S.

Leus, G.J.T. (mentor)
Van der Veen, A.J. (mentor)

Electrical Engineering, Mathematics and Computer Science

Telecommunications

2009-08-31

Efficiency of the Analog to Digital Converters (ADCs) has always been an issue of concern, especially, when it comes to sampling wide band signals which require extremely high sampling rates. As the systems with wide band signals are gaining the front position in digital communications, the need to find ways to reduce the sampling rates of ADCs but still maintaining exact reconstruction, is becoming ever more resurgent. In this thesis we present the utilization of a newly discovered technique to reduce the sampling rates much below the Nyquist rates. We explore the combination of Compressive Sampling (CS) with Pulse Position Modulation (PPM) and Frequency Shift Keying (FSK) modulation schemes. CS has been suggested for 'sparse signals'. Sparsity helps represent the signal in much less dimensions. We evaluate the suitability of this technique for PPM and FSK modulated signals in multipath fading environments so as to reduce the complexity at the receiver side. We detect the signals without having to first estimate the channel. We present scenarios where we can achieve the most from the combination of CS and PPM/FSK. We extend this frame work to Ultra Wide Band (UWB) applications. We also give theoretical expressions for the error probabilities of our signal models. The real challenge, with regard to using CS, is to reconstruct the signal from its reduced dimensions. In this respect, we have opted for the Orthogonal Matching Pursuit (OMP) algorithm for most of the cases, nonetheless, we elaborate on other available reconstruction methods as well.

Compressive Sampling
PPM
FSK
UWB
Compressed Sensing

http://resolver.tudelft.nl/uuid:badbddb8-9f61-48a5-ac50-fc3e0bd719e9

2009-09-04

Student theses

master thesis

(c) 2009 Gishkori, S.S.