Probabilities, Random Variables, and Random Processes: Digital and Analog |
From inside the book
Results 1-3 of 55
Page 151
... Sketch the mass function up to a1 = 5 . ( b ) Show that p1 ( a ) = 1 . all i ( c ) Given the condition A , that at ... Sketch x , ( t ) . ( b ) Repeat the questions of part ( a ) and sketch the function ∞ x2 ( t ) = Σg ( t − 2n ) n = 1 ...
... Sketch the mass function up to a1 = 5 . ( b ) Show that p1 ( a ) = 1 . all i ( c ) Given the condition A , that at ... Sketch x , ( t ) . ( b ) Repeat the questions of part ( a ) and sketch the function ∞ x2 ( t ) = Σg ( t − 2n ) n = 1 ...
Page 227
... Sketch x ( t ) and find and sketch the mass functions Px ( a ) and Py ( B ) . ( b ) Find Py [ ẞ / ( X = a ) ] for all a . ( c ) Construct the matrix for Pxy ( α , ẞ ) . 4. Consider the periodic waveform ∞ x ( t ) = Σ g ( t-— 3n ) 811 ...
... Sketch x ( t ) and find and sketch the mass functions Px ( a ) and Py ( B ) . ( b ) Find Py [ ẞ / ( X = a ) ] for all a . ( c ) Construct the matrix for Pxy ( α , ẞ ) . 4. Consider the periodic waveform ∞ x ( t ) = Σ g ( t-— 3n ) 811 ...
Page 328
... Sketch and give analytical formulas for x ( p −t ) versus p for t = −3 , t = 1 , t = 4 , and a general t . ( b ) Sketch and give analytical formulas for x ( t − p ) versus p for t = -3 , t = 1 , t = 4 , and a general t . ( c ) For ...
... Sketch and give analytical formulas for x ( p −t ) versus p for t = −3 , t = 1 , t = 4 , and a general t . ( b ) Sketch and give analytical formulas for x ( t − p ) versus p for t = -3 , t = 1 , t = 4 , and a general t . ( c ) For ...
Contents
1 | 3 |
5 | 54 |
General Formulation and Solution of Problems | 69 |
Copyright | |
12 other sections not shown
Common terms and phrases
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