Probabilities, Random Variables, and Random Processes: Digital and Analog |
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Page 14
... permutations of small size , some important results will be developed . PERMUTING DIFFERENT OBJECTS Example 1.2 How many permutations of size 2 may ... permutations A E Permutation AB Permutation AC ( and so on 14 DISCRETE PROBABILITY THEORY.
... permutations of small size , some important results will be developed . PERMUTING DIFFERENT OBJECTS Example 1.2 How many permutations of size 2 may ... permutations A E Permutation AB Permutation AC ( and so on 14 DISCRETE PROBABILITY THEORY.
Page 15
Digital and Analog Michael O'Flynn. A E Permutation AB Permutation AC ( and so on ) D E B C D E D Permutation DA B E E D ... permutations of size 3 with B in position 1 , ( 4 ) , with C in position 1 , ( 4 ) , with D in position 1 and ...
Digital and Analog Michael O'Flynn. A E Permutation AB Permutation AC ( and so on ) D E B C D E D Permutation DA B E E D ... permutations of size 3 with B in position 1 , ( 4 ) , with C in position 1 , ( 4 ) , with D in position 1 and ...
Page 16
... Permutation ( A , B , E ) B E D ( 4 ) , permutations A E E have the object A in position 1 B B C " } ( 4 ) , permutations have the object B in position 1 ( and so on ) E ( 4 ) 1⁄2 permutations have the object E in position 1 Figure 1.7 ...
... Permutation ( A , B , E ) B E D ( 4 ) , permutations A E E have the object A in position 1 B B C " } ( 4 ) , permutations have the object B in position 1 ( and so on ) E ( 4 ) 1⁄2 permutations have the object E in position 1 Figure 1.7 ...
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5 | 54 |
General Formulation and Solution of Problems | 69 |
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A₁ autocorrelation function average axiom B₁ balls Chapter convolution correlation integrals cross-correlation cross-correlation function cumulative distribution function dadß defined definition delta function denoted derivation deterministic discrete Fourier transform discrete probability theory discrete random process DRILL SET ensemble ergodic evaluate event space Example finite first-order stationary formula fundamental theorem fxy(a fy(B fz(y given impulse response joint density function joint mass function Laplace transform linear system M₁ member waveform notation obtained otherwise output periodic function periodic waveform permutations plotted in Figure points power spectral density probability measure probability theory problem properties pulse px(a random input random phenomenon range Rxx(T sample description space sampled values second-order stationary set theory shown in Figure shown plotted signal sketch SOLUTION solved statistics Sxx(w Ticket Pays two-sided Laplace transform two-sided z transform typical member X₁ z transform zero-mean