55.Signal Processing by John G. Webster (Editor)

By John G. Webster (Editor)

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PP )T , the Cram´er–Rao bound of the parameter pk is given by the inequality Updated QR Decomposition Given the QR decomposition Z = LQ of the radar data matrix Z = (z1 z2 ··· zK ), it is sometimes necessary to update the matrix L if another measurement zK+1 is appended to Z, or if the measurement z1 is deleted. This need arises when the trainig data are collected from a sliding range window around the rangegate of interest, perhaps with a few guard ranges deleted near this target range. As the radar steps through each rangegate looking for the presence of a target, radar data are added to the front of the training window and deleted from the rear.

Because ground clutter has a spatiotemporal dependence—clutter to the front of the aircraft has a positive Doppler shift and clutter to the rear has a negative shift—a two-dimensional filter utilizing both these dimensions is required. Such a filter is obtained from the adaptive weight vector w = R−1v of Eq. (72) if v is a space–time steering vector of the form described above in the sub-subsection on that subject and R is a space–time covariance matrix of the form described in the subsection “Noise, Jammer, and Clutter Covariance Matrices” above.

32. 33. 34. 35. CN Re Im a* xT zH tr A x⊗y x y v t w R N M fd PRI or Tr PRF CPI SNR CNR JNR SINR PD PFA Complex N-space Real part Imaginary part Complex conjugation of a Transpose of x Hermitian transpose of z Trace of the square matrix A Tensor (Kronecker) product of x and y Schur–Hadamard product of x and y Steering vector 40. 41. 42. 43. 44. 45. 46. 47. 48. 49. 50. Target steering vector Adaptive weight vector Interference-plus-noise covariance matrix Number of adaptive degrees of freedom or antenna elements Number of radar pulses Doppler frequency Pulse repetition interval Pulse repetition frequency Coherent processing interval Signal-to-noise ratio Clutter-to-noise ratio Jammer-to-noise ratio Signal-to-interference-plus-noise ratio Probability of detection Probability of false alarm BIBLIOGRAPHY 1.

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