Probability, Random Variables, and Random Signal PrinciplesThere are now 134 examples and nearly 900 homework problems; and other topics expanded or added include discussion of probability as a relative frequency, permutations, combinations, transformations of random variables, ergodicity of random processes, laws of large numbers, estimation, various inequalities, properties of impulses, and chapter-end summaries. This new material will prove most useful for students concerned with modern digital systems."--BOOK JACKET. |
From inside the book
Results 1-3 of 76
Page 98
... mean of X. 3.1-9 . In the circuit of Figure P2.1-11 of Chapter 2 let the ... mean value of power when R1 is random . ( c ) Evaluate the mean power for E1 = 12 V , R2 = 1000 N , Ro = 1500 2 ... values . 3.2-2 . Find : ( a ) the expected value.
... mean of X. 3.1-9 . In the circuit of Figure P2.1-11 of Chapter 2 let the ... mean value of power when R1 is random . ( c ) Evaluate the mean power for E1 = 12 V , R2 = 1000 N , Ro = 1500 2 ... values . 3.2-2 . Find : ( a ) the expected value.
Page 99
... mean value and variance of the random variable having the uniform density function of ( 2.5-7 ) are : 99 CHAPTER 3 ... value of all possible pointer positions ? ( b ) What deviation from its average value will the pointer position take ...
... mean value and variance of the random variable having the uniform density function of ( 2.5-7 ) are : 99 CHAPTER 3 ... value of all possible pointer positions ? ( b ) What deviation from its average value will the pointer position take ...
Page 170
... mean value of the function 5 0 < 0 < X and 0 < Y≤ g ( X , Y ) = 1 -1 < X and / or < Y 2 2 0 all other X and Y 5.1-4 . For the random variables in Problem 5.1-3 , find the mean value of the func- tion 8 ( X , Y ) = e − 2 ( x2 + y2 ) ...
... mean value of the function 5 0 < 0 < X and 0 < Y≤ g ( X , Y ) = 1 -1 < X and / or < Y 2 2 0 all other X and Y 5.1-4 . For the random variables in Problem 5.1-3 , find the mean value of the func- tion 8 ( X , Y ) = e − 2 ( x2 + y2 ) ...
Contents
Venn Diagram Equality and Difference Union | 7 |
Joint Probability Conditional Probability Total | 18 |
The Random Variable | 107 |
Copyright | |
20 other sections not shown
Other editions - View all
Probability, Random Variables, and Random Signal Principles Peyton Z. Peebles No preview available - 2001 |
Common terms and phrases
amplitude applied assume autocorrelation function available power gain average power band-limited bandpass bandwidth CHAPTER characteristic function cos(wpt covariance cross-correlation cross-correlation function cross-power defined denoted discrete random variables discrete-time DT system ergodic event example expected value Fourier transform frequency fx(x fy(y gaussian random variables given impulse response independent random variables integral joint density function jointly wide-sense stationary k₁ Linear Systems lowpass mean value Multiple Random Variables noise figure noise power noise temperature Peebles power density spectrum power spectrum Problem properties random process random process X(t Random Signal Principles random variables X1 real constants resistor Rxy(t Ryy(t sample function sample space sequence signal x(t spectral stationary process statistically independent statistically independent random Systems with Random t₁ transfer function uncorrelated variance voltage W₁ W₂ waveform white noise wide-sense stationary X₁ xx(w Y₁ Y₂ zero zero-mean