Resumen de Compressive sensing based candidate detector and its applications to spectrum sensing and through-the-wall radar imaging
Eva Lagunas Targarona
Signal acquisition is a main topic in signal processing. The well-known Shannon-Nyquist theorem lies at the heart of any conventional analog to digital converters stating that any signal has to be sampled with a constant frequency which must be at least twice the highest frequency present in the signal in order to perfectly recover the signal. However, the Shannon-Nyquist theorem provides a worst-case rate bound for any bandlimited data. In this context, Compressive Sensing (CS) is a new framework in which data acquisition and data processing are merged. CS allows to compress the data while is sampled by exploiting the sparsity present in many common signals. In so doing, it provides an efficient way to reduce the number of measurements needed for perfect recovery of the signal. CS has exploded in recent years with thousands of technical publications and applications being developed in areas such as channel coding, medical imaging, computational biology and many more. Unlike majority of CS literature, the proposed Ph.D. thesis surveys the CS theory applied to signal detection, estimation and classification, which not necessary requires perfect signal reconstruction or approximation. In particular, a novel CSbased detection technique which exploits prior information about some features of the signal is presented. The basic idea is to scan the domain where the signal is expected to lie with a candidate signal estimated from the known features. The proposed detector is called candidate-based detector because their main goal is to react only when the candidate signal is present. The CS-based candidate detector is applied to two topical detection problems. First, the powerful CS theory is used to deal with the sampling bottleneck in wideband spectrum sensing for open spectrum scenarios. The radio spectrum is a natural resource which is recently becoming scarce due to the current spectrum assignment policy and the increasing number of licensed wireless systems. To deal with the crowded spectrum problem, a new spectrum management philosophy is required. In this context, the revolutionary Cognitive Radio (CR) emerges as a solution. CR benefits from the poor usage of the spectrum by allowing the use of temporarily unused licensed spectrum to secondary users who have no spectrum licenses. The identification procedure of available spectrum is commonly known as spectrum sensing. However, one of the most important problems that spectrum sensing techniques must face is the scanning of wide band of frequencies, which implies high sampling rates. The proposed CS-based candidate detector exploits some prior knowledge of primary users, not only to relax the sampling bottleneck, but also to provide an estimation of the candidate signals' frequency, power and angle of arrival without reconstructing the whole spectrum. The second application is Through-the-Wall Radar Imaging (TWRI). Sensing through obstacles such as walls, doors, and other visually opaque materials, using microwave signals is emerging as a powerful tool supporting a range of civilian and military applications. High resolution imaging is achieved if large bandwidth signals and long antenna arrays are used. However, this implies acquisition and processing of large amounts of data volume. Decreasing the number of acquired samples can also be helpful in TWRI from a logistic point of view, as some of the data measurements in space and frequency can be difficult, or impossible to attain. In this thesis, we addressed the problem of imaging building interior structures using a reduced number of measurements. The proposed technique for the determination of the building layout is based on prior knowledge about common construction practices. Real data collection experiments in a laboratory environment, using Radar Imaging Lab facility at the Center for Advanced Communications, Villanova University, USA, are conducted to validate the proposed approach.
