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@PHDTHESIS{Bollig:679117,
      author       = {Bollig, Andreas},
      othercontributors = {Mathar, Rudolf and Thomä, Reiner},
      title        = {{S}pectrum sensing in cognitive radio},
      school       = {Rheinisch-Westfälische Technische Hochschule Aachen},
      type         = {Dissertation},
      address      = {Aachen},
      reportid     = {RWTH-2016-10925},
      pages        = {1 Online-Ressource (vi, 115 Seiten) : Diagramme},
      year         = {2016},
      note         = {Veröffentlicht auf dem Publikationsserver der RWTH Aachen
                      University 2017; Dissertation, Rheinisch-Westfälische
                      Technische Hochschule Aachen, 2016},
      abstract     = {Reliable spectrum sensing is the main enabler for
                      opportunistic access to the underutilized wireless spectrum.
                      The task of a spectrum sensing algorithm is to decide
                      between two hypotheses, the one that the spectral band under
                      observation is free and can be used by a secondary system
                      (H0), and the one that the primary system is transmitting on
                      the band, such that the secondary system needs to refrain
                      from accessing it (H1). The goal in the design of spectrum
                      sensing algorithms is to maximize the probability of
                      detecting a present primary system transmission (probability
                      of detection Pd) given a fixed probability of wrongly
                      determining the band under observation to be occupied when
                      it is not (probability of false alarm Pfa ). In the case of
                      a missed detection, i. e., when the primary system is
                      transmitting but the spectrum sensing algorithm decides that
                      the band is free, the secondary system might also start a
                      transmission, by which it will disturb the primary system.
                      When a false alarm happens, the secondary system misses a
                      chance to use the spectrum. In this thesis, contributions
                      have been made to three types of spectrum sensing
                      algorithms. The first type of spectrum sensing we consider
                      is cyclostationarity detection. Cyclostationarity is a
                      stochastic feature present in all man-made signals, e.g.,
                      wireless communication signals, but is absent in pure
                      stationary noise. Due to this property it can be used to
                      decide between H0 and H1, which makes it a good fit for
                      spectrum sensing. The problem arising is that in order to
                      determine the presence or absence of cyclostationarity in a
                      received signal, it has to be known beforehand which cycle
                      frequency is affected. In blind spectrum sensing it is
                      assumed that the secondary system possesses no knowledge
                      about the primary system signal, which, for the above
                      reasons, rules out the use of cyclostationarity. Based on
                      methods from the field of compressed sensing, two algorithms
                      for tackling this problem are proposed. In a second step, a
                      modification of a classic test for cyclostationarity is
                      devised to estimate the test statistic. This modification is
                      necessary to work around the problem that when using the
                      compressed sensing cyclic autocorrelation estimation
                      algorithms, information required for estimating the spectrum
                      sensing test statistic is lost. Furthermore, to assess the
                      cyclic autocorrelation estimation performance of the
                      aforementioned algorithms, a closed-form expression of the
                      discrete-time cyclic autocorrelation of linearly modulated
                      signals with a rectangular pulse shape is derived.
                      Eigenvalue-based spectrum sensing builds on the idea that a
                      communication signal induces either correlation in time or
                      correlation between different receivers, while pure i.i.d.
                      noise does not. The eigenvalues of a received signal’s
                      covariance matrix are used to define various test statistics
                      for spectrum sensing. One of these is the condition number
                      used in the maximum-minimum-eigenvalue (MME) detector. The
                      MME detector is independent of uncertainty regarding the
                      receiver noise power. In contrast, this uncertainty has been
                      shown to lead to an SNR-wall in the energy detector. An
                      SNR-wall constitutes the SNR-value that separates the regime
                      where a detector can robustly detect a primary system signal
                      and the regime where it cannot. Obviously, not exhibiting an
                      SNR-wall is a desired feature of spectrum sensing
                      algorithms. Unfortunately, the MME detector does not possess
                      this feature. Indeed, in this work we show that the MME
                      detector suffers from an SNR-wall induced by uncertainty
                      regarding the amount of coloring of the receiver noise. A
                      lower bound on this SNR-wall is derived and examples for
                      different types of covariance matrices are given. Moreover,
                      it is shown that low amounts of man-made impulsive noise
                      already lead to enough uncertainty in the noise coloring
                      that an SNR-wall considerably far above the desired regime
                      of operation is brought about. Furthermore, two new test
                      statistics for spectrum sensing based on the eigenvalues of
                      the received signal’s covariance matrix are proposed. One
                      of the oldest test statistics used in spectrum sensing is
                      the received signal power. The corresponding method goes by
                      the name of energy detection. It consists of measuring the
                      received energy in a spectral band and comparing it to a
                      predefined threshold. One of the problems occurring in
                      spectrum sensing is the so-called hidden terminal problem,
                      which leads to an SNR between the active node of the primary
                      system and the secondary system sensor that is too low for
                      reliable detection. In order to avoid the problem, a set of
                      spatially distributed sensors is deployed. To exploit the
                      spatial diversity, the sensors have to transmit either a
                      local decision on the spectrum occupancy or their
                      measurement data to a fusion center for combined analysis
                      and decision making. To minimize the resulting overhead in
                      spectrum usage, compressed sensing methods are utilized.
                      Finally, the architecture of the simulation framework used
                      for most numerical evaluations presented in this work is
                      described. It facilitates the reuse of code and benefits its
                      stability.},
      cin          = {613410},
      ddc          = {621.3},
      cid          = {$I:(DE-82)613410_20140620$},
      typ          = {PUB:(DE-HGF)11},
      urn          = {urn:nbn:de:hbz:82-rwth-2016-109259},
      doi          = {10.18154/RWTH-2016-10925},
      url          = {https://publications.rwth-aachen.de/record/679117},
}