Prerequisites & Notation

Before You Begin

This chapter assumes familiarity with the following topics.

  • Matched-filter and backpropagation imaging (Chapter 13) (Review ch13)

    Self-check: Can you form a radar image from raw measurements using the matched filter?

  • Sparse reconstruction methods (LASSO, ISTA, ADMM) for imaging (Chapter 14) (Review ch14)

    Self-check: Can you set up a LASSO problem for RF imaging and choose the regularisation parameter?

  • AMP/OAMP algorithms and Kronecker-structured sensing (Chapter 17) (Review ch17)

    Self-check: Can you explain why Kronecker structure accelerates the sensing operator?

Notation for This Chapter

Symbols introduced or emphasised in this chapter.

SymbolMeaningIntroduced
PSNR\mathrm{PSNR}Peak signal-to-noise ratio (dB)s04
SSIM\mathrm{SSIM}Structural similarity indexs04
LPIPS\mathrm{LPIPS}Learned Perceptual Image Patch Similaritys04
dCd_CChamfer distance between two point setss04
dHd_HHausdorff distances04
IoU\mathrm{IoU}Intersection over Union for volumetric overlaps04
PDP_DProbability of detections04
PFAP_{\mathrm{FA}}Probability of false alarms04
NMCN_{\mathrm{MC}}Number of Monte Carlo trialss03
DR\mathrm{DR}Dynamic range of the imaging system (dB)s01