A Random process X(t) is applied to a networkwith impulse response h(t) = u(t) exp (-bt)where b > 0 is a constant. The cross-correlation of X(t) with the output Y(t) is knownto have the same form,Ryy(t) = u(t)t exp(-bt)(i)Find the auto-correlation of Y(t).

Answered: Image /qna-images/answer/f091e673-7cc3-4304-9c49-5fcc04d7ce76.jpg

Answered: (i) Find the auto-correlation of Y(t).

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

Test the claim that the linear correlation coefficient of a population is statistically significant. A random sample of 15 (x,y) pairs yields r = 0.51. Use a = 0.05. 1. Select the correct statement: O If the correlation is found to be statistically significant, that means that changes in x cause changes in y O Even if the correlation is found to be statistically significant, that does not necessarily mean that changes in x cause changes in y The hypotheses are: Ο Ho:ρ-0; Ha: ρ 0 O Ho:r = 0; Ha:r0 O Ho:r 0 O Ho:r > 0; Ha:r 0; Ha:p 0 2. This is a O rightO twoO left tailed test and the distribution used is OT The Degrees of Freedom are ON/A; this is a Z-test
J. 1. Find out co-efficient or correlation from the following: x= 40 50 55 45 50 -60 65 65 70 80. y= 10 12 13 11 12 15 18 18 21 30.
A pediatrician wants to determine the relation that may exist between a child's height and head circumference. She randomly selects 8 children from her practice, measures their height and head circumference, and obtains the data shown in the table. Complete parts (a) through (e) to the right. Height (in.) Head Circumference (in.) O 27 17.4 Data Table 25.5 17.2 26 17.2 25.75 17 Critical Values for Correlation Coefficient 27.75 17.5 26.5 17.2 26.25 17.2 3 0.997 26.75 17.4 4 0.950 0.878 Click here to see the Table of Critical Values for Correlation Coefficient. 0.811 7 0.754 0.707 0.666 10 0.632 11 0.602 12 0.576 13 0.553 14 0.532 15 0.514 16 0.497 17 0.482 18 0.468 19 0.456 20 0.444 21 0.433 22 0.423 23 0.413 24 0.404 25 0.396 26 0.388 27 0.381 28 0.374 29 0.367 30 0.361
Example 4. Calculate Coefficient of Correlation from the following results : n= 10, ΣX- 100, ΣY - 150, Σ (X- 102180, Σ(Y-15)?-215 E(X – 10) (Y – 15) = 60
(b) For each pair of variables, generate the correlation coefficient r. Compute the corresponding coefficient of determination r2. (Use 3 decimal places.) r r2 x1, x2 x1, x3 x2, x3
Suppose f(x,y)=10x2y, 0<y<x<1, What is the Correlation of the variable X and Y?
this is date for Colon Cancer New Cases 2017 y1y1=2609.58x2x2-971041 corr(x2y1)(x2y1)=0.988 Could you tell us what your variables in your equation represent for your situation? How do you determine if there is a strong or weak linear correlation from the correlation coefficient? How do you determine if it is positive or negative?
For the data shown to the right, determine the linear correlation coefficient using two different formulas shown below. Complete parts (a) and (b) below and compare your answers. x 1|2| 4 | 5|5 y 3 5 1 1 2 Exy - (Ex)(E) in b. Use the computing formula r= E-(Ex)*/n] E-(Ex)° /n] Find the sums required to calculate r using the computing formula. Ex-D Σ- (Type integers or decimals. Do not round.) Using the computing formula, r= (Round to three decimal places as needed.) V the value in part (b). The value in part (a) is ?
Given a cross power spectrum, Sxy (w) = XY Find the cross correlation function. CS Scanned with CamScanner 8 (a + jw)³ where a > 0 is a constant.
Calculate correlation and probable error between physical parameters (temperature and humidity) Number of families(x)=2 Number of sites(n)= 1 Temperature(y) in autumn= 24.1 Humidity(y) in autumn= 35 20 1 19 Calculate correlation and probable error between physical parameters (temperature and humidity) Using the following formula coefficient of correlation (r). r = n([xy)-([x) (Ey) V[n(Ex 2)-(Ex) 2][n(Ey2)-([y) 2] I

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS