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MIMO Radars Waveform Design

Shadi, Kamal | 2011

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 42495 (05)
  4. University: Sharif University of Technology
  5. Department: Electrical Engineering
  6. Advisor(s): Behnia, F
  7. Abstract:
  8. MIMO radar is a next generation radar which transmits arbitrary waveforms at each one of its apertures. It has been shown that design of waveforms for MIMO radars in order to synthesize a desired spatial beampattern, is mapped into a waveform correlation matrix (R) design in the narrowband case. Therefore, waveform design in MIMO radar for beamforming could be broken into two steps, namely correlation matrix design and waveform synthesis for achieving given R. As of now, given a desired beampattern or estimated location information of targets, calculating R has been modeled as an optimization problem like SDP. Also, in some special cases like rectangular beampattern, close form solutions for R has been proposed. In this paper, we introduce a fast algorithm which is capable of designing R in order to achieve more arbitrary beampatterns. Our proposed algorithm is based on eigenvalue decomposition of correlation matrix which employs neither an optimization nor an iteration process. Furthermore, the proposed algorithm leads to uniform elemental power, low sidelobe level and decorrelation of targets which is a great boon, looking from both the hardware and software perspectives. Waveform synthesis is also a constraint optimization problem. Practical requirements imposed on waveforms generated are low peak to average power ratio and good cross and auto correlation properties. In addition to these requirements, the proposed algorithm for waveform synthesis must consume relatively low CPU time, a point which is of prime importance in applications needing large number of samples like synthetic aperture radars. In this paper we propose a novel stochastic method based on copulas for constant modulus waveform synthesis to obtain a given correlation matrix. These waveforms are easy to generate with no numerical optimization involved and with added benefit of having low correlation side lobe levels in order of LS algorithms. The new waveform synthesis algorithms also make it possible to generate a wide range of orthogonal to coherent waveforms from finite or infinite alphabets
  9. Keywords:
  10. Waveform Synthesis ; Eigenvalue Decomposition ; Multiple Input Multiple Output (MIMO)System ; Beamforming ; Copulas

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