Auto-Correlation Function | 01 | Excellent Question - GATE Sol | Communication | ECE

Consider a random process X(t)=√2 sin⁡〖(2πt+φ)〗, where the Random phase φ is uniformly distributed in the interval [0,2π]. The auto-correlation E[X(t_1 )X(t_2 )] is (A) cos⁡(2π(t_1+t_2 )) (C) sin⁡(2π(t_1+t_2 )) (B) sin⁡(2π(t_1-t_2 )) (D) cos⁡(2π(t_1-t_2 )) Visit our website: https://goo.gl/ZPnR7C THE GATE ACADEMY provide comprehensive and rigorous coaching for the GATE exams. Our student-centered guidance focuses on the strengths and weaknesses of each student. This has enabled us to achieve a proven track record of GATE toppers from our institute. THE GATE ACADEMY appreciates diversity in requirements and hence have tailor-made digital & distance learning courses for addressing these different needs. Classroom Course- The most popular course, classroom lecture is blended with GATE focused books and digital resources such as video lectures and online tests. tabGATE- We tied up with Samsung to take care of students who want to study anywhere, anytime. homeGATE- Live online GATE lectures, specially designed for students who stay away from city centers and still don’t want to lose on live faculty teaching with doubt clearing. Correspondence Course- Comprises hard-copy GATE focused books options of Tests and video lectures. Its popular amongst self-preparing GATE aspirants. SD Card / USB GATE- Can be used on windows desktop/laptop/Android phone. Students who want to self-pace their studies, from the convenience of their home, will use this option. For more details, visit our website and social handles as below. 1. Web: http://www.thegateacademy.com 2. Email: [email protected] 3. Like us: https://www.facebook.com/TheGateAcademy/ 4. Instagram - https://www.instagram.com/the_gate_ac... 5. Blogs: https://goo.gl/KUKn6b Call us at 080-40611000 Do not Forget to watch the videos of below-mentioned subjects : 1. GATE Preparation Lectures - ME: https://goo.gl/Knhxa6 2. GATE Preparation Questions - ME: https://goo.gl/AcYAD1 3. GATE Preparation Lectures - CE: https://goo.gl/i7hjxt 4. GATE Preparation Questions - CE: https://goo.gl/jGAjUp 5. GATE Preparation Lectures - ECE: https://goo.gl/zSHGhB 6. GATE Preparation Questions - ECE: https://goo.gl/bjyEq6 7. GATE Preparation Lectures - IN: https://goo.gl/iUPVBC 8. GATE Preparation Questions - IN: https://goo.gl/jdnbG4 9. GATE Preparation Lectures - EE: https://goo.gl/vzEZ6N 10. GATE Preparation Questions - EE: https://goo.gl/EC3xtc 11. GATE Preparation Lectures - CS&IT: https://goo.gl/xnsMLt 12. GATE Rankers: https://goo.gl/DCyYiy