A-3 Skywarrior in Action No 148 by Jim Sullivan

By Jim Sullivan

Squadron sign courses In motion A-3 Skywarrior plane #148 #1148

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Dx. 3), we have for the certain event that x has an arbitrary value: þ1 ð pðxÞdx ¼ 1: ð3:11Þ À1 The value of p(x) is always positive. The probability distribution function is given by: ðx DðxÞ ¼ Pðx xÞ ¼ pðxÞdx: ð3:12Þ À1 By this distribution function we may indicate the probability for a noise voltage being below a threshold x. 9), by: Pðx x x þ dx; y h y þ dyÞ ¼ pðx; yÞdxdy: ð3:14Þ Statistical signal theory 23 This may be extended to the important case of N variables. Then we have the joint PDF pðx1 ; x2 ; .

20): Pk ¼ N   2pj rðnÞ exp À kn : N n¼0 N À1 X ð2:35Þ References 1. , Introduction to Matrix Analysis, McGraw-Hill, New York, NY, 1960 2. , Matrix Calculus, North-Holland, Amsterdam, 1959 3. Hager, W. , Applied Numerical Linear Algebra, Prentice Hall, London, 1988 4. Cooley, J. , Welch, P. , ‘Historical Notes on the Fast Fourier Transform’, IEEE Transactions on Audio and Electroacoustics, 15(2), 76–79, June 1967 5. Bially, T. ‘The Fast Fourier Transform and its Application to Radar Signals’, International Conference on Radar, 1978, Paris, France, pp.

32):   À1 1 NX 2pj pk ¼ rðpÞ: P exp k N 2 k¼0 N ð2:34Þ 16 Radar techniques using array antennas This relation between the power spectrum and the autocorrelation function given by the FT is named the Wiener–Khintchine theorem. 34). 20): Pk ¼ N   2pj rðnÞ exp À kn : N n¼0 N À1 X ð2:35Þ References 1. , Introduction to Matrix Analysis, McGraw-Hill, New York, NY, 1960 2. , Matrix Calculus, North-Holland, Amsterdam, 1959 3. Hager, W. , Applied Numerical Linear Algebra, Prentice Hall, London, 1988 4.

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