References & Further Reading

References

1. H. L. Van Trees, Optimum Array Processing: Detection, Estimation, and Modulation Theory, Part IV, Wiley, 2002

   The definitive reference on array signal processing, including matched filter beamforming, Capon (MVDR), and MUSIC. Sections s01 and s04 follow Van Trees's framework.

2. J. Capon, High-Resolution Frequency-Wavenumber Spectrum Analysis, 1969

   The original Capon (MVDR) beamformer paper. Section s04 derives the Capon beamformer for imaging applications.

3. R. O. Schmidt, Multiple Emitter Location and Signal Parameter Estimation, 1986

   The foundational MUSIC paper. Section s04 adapts MUSIC from DOA estimation to spatial imaging.

4. M. Soumekh, Synthetic Aperture Radar Signal Processing with MATLAB Algorithms, Wiley, 1999

   Comprehensive treatment of SAR image formation algorithms including back-projection, range-Doppler, and DAS beamforming.

5. A. J. Devaney, A Filtered Backpropagation Algorithm for Diffraction Tomography, 1982

   The foundational paper on filtered backpropagation for diffraction tomography. Section s03 adapts FBP to RF imaging.

6. A. C. Kak and M. Slaney, Principles of Computerized Tomographic Imaging, SIAM, 2001

   Classic textbook on CT reconstruction including the Fourier Slice Theorem and filtered back-projection. Our treatment of Ram-Lak and Hamming filters follows this reference.

7. M. A. Richards, J. A. Scheer, and W. A. Holm, Principles of Modern Radar: Basic Principles, SciTech Publishing, 2014

   Comprehensive radar textbook covering matched filtering, resolution, sidelobes, and windowing.

8. J. Li and P. Stoica, MIMO Radar with Colocated Antennas, 2007

   Foundational paper on MIMO radar virtual aperture and its impact on the PSF and imaging resolution.

9. J. A. Fessler and B. P. Sutton, Nonuniform Fast Fourier Transforms Using Min-Max Interpolation, 2003

   The NUFFT algorithm used for efficient filtered backpropagation with non-uniform k-space sampling.

10. M. Cetin and W. C. Karl, Feature-Enhanced Synthetic Aperture Radar Image Formation Based on Nonquadratic Regularization, 2001

    Demonstrates how sparse regularization overcomes the sidelobe and dynamic range limitations of matched filter SAR imaging.

11. L. M. H. Ulander, H. Hellsten, and G. Stenstrom, Synthetic-Aperture Radar Processing Using Fast Factorized Back-Projection, 2003

    Introduces fast back-projection with $O(N^{3/2})$ complexity.

12. H. Krim and M. Viberg, Two Decades of Array Signal Processing Research, 1996

    Survey of array processing including Capon, MUSIC, ESPRIT.

13. A. Rezaei, K. Zhi, T. Yang, and G. Caire, Multi-View RF Imaging with Learned Fusion, 2025

    CommIT group paper demonstrating the MF-to-U-Net sidelobe corruption problem for physical sensing matrices.

Further Reading

• Robust Capon beamforming

  P. Stoica, Z. Wang, and J. Li, Robust Capon Beamforming, IEEE SP Letters, 2003

  Develops robust Capon methods that handle array calibration errors -- essential for practical radar imaging.

• GPU-accelerated back-projection

  G. Fasih and R. Hartley, GPU-Based SAR Back-Projection, IEEE Radar Conference, 2010

  Demonstrates more than 100x speedup of back-projection using GPU parallelization, making real-time imaging feasible.

• From beamforming to sparse recovery

  D. Malioutov, M. Cetin, and A. S. Willsky, A Sparse Signal Reconstruction Perspective for Source Localization, IEEE Trans. SP, 2005

  Seminal paper connecting array processing to sparse recovery, motivating the transition from Ch 13 to Ch 14.

• Fast back-projection algorithms

  L. M. H. Ulander et al., Fast Factorized Back-Projection, IEEE TAES, 2003

  Achieves $O(N^{3/2})$ back-projection via hierarchical decomposition.

• Diffraction tomography fundamentals

  A. J. Devaney, Mathematical Foundations of Imaging, Tomography and Wavefield Inversion, Cambridge, 2012

  Comprehensive treatment of the k-space view of imaging, connecting backpropagation to diffraction tomography.