Energy Detection of Unknown Deterministic Signals in the Presence of Jamming

Urkowitz [1]has discussed the detection of a deterministic signal of unknown structure in the presence of flat, band-limited, Gaussian noise of known power density. That analysis is extended here to the case where jamming or other conditions preclude knowledge of the noise power density. The chi-square statistic of Urkowitz is replaced with Fisher's variance-ratio statistic, using a separate set of noise samples to estimate the unknown noise power density. Curves are given to show the additional degradation of perform over that due to ignorance of the signal structure, caused by ignorance of the noise power density.     

Limitations on SAR Image Area Due to Motion through Resolution Cells

Range-Doppler imaging systems are degraded by the motion of an object through its resolution cells during image formation. Given the range resolution dR, the cross-range (azimuth) resolution dA, and the wavelength ?, the image's range extent DR and cross-range extent DA must be constrained by ?DR ? 4d2A; ?DA ? 4dAdR to avoid significant image degradation. By implication, we can image a rectangular area A ? DADR. We show that, in general, the acceptable image area is a parallelogram which becomes a rectangle only in the special case of unsquinted, broadside operation. Furthermore, the actual useful image area within a rectangular map of range extent DR and crossrange extent DA decreases as the squint angle measured from broadside increases.