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1 RTS structure /Works Answers/ Home work (HW-1) Obtain equation for coordinate system transformation 1 RTS structure /Works Answers/ Home work (HW-1) Obtain equation for coordinate system transformation (case 2 D) Obtain matrix form of this equation Nick A. Lookin, ACS-RTD-USTU, 2008 Real-Time Systems

2 RTS structure /Works Answers/ Home work (HW-2) Obtain equation for relative estimation error 2 RTS structure /Works Answers/ Home work (HW-2) Obtain equation for relative estimation error of arbitrary function F(x) Nick A. Lookin, ACS-RTD-USTU, 2008 Real-Time Systems

3 RTS structure Home work (HW-3) R 0 0 1 1 1 S 0 3 RTS structure Home work (HW-3) R 0 0 1 1 1 S 0 1 1 1 1 ~ ~ ~ 0 1 /Works Answers/ LET WE HAVE SIMPLE ASYNCHRONOUS RS-TRIGGER. PROVE THAT THIS TRIGGER HAS NO TIME HAZARDS (RACES) Status ~ 1 1 Don’t care ~ 1 0 Logic state “ 1” ~ 0 1 Logic state “ 0” S 00 S 01 S 10 S 11 0 All state GENERATOR 1 1 changes are constant DIN on gates 4 1 4 and not dependsstate “ 1” delays 4! 0 1 0 Logic DOUT state “ 0” 3 3 3 4 1 0 1 Logic DTOTAL 4 7 7 8 1 0 0 GENERATOR Nick A. Lookin, ACS-RTD-USTU, 2008 Full dependence on previous state Real-Time Systems

4 RTS structure /Works Answers/ Home work (HW-4) 1. LET WE HAVE EXPONENTIAL DISTRIBUTION 4 RTS structure /Works Answers/ Home work (HW-4) 1. LET WE HAVE EXPONENTIAL DISTRIBUTION OF VARIATES. ANOTHER NAME OF THIS DISTRIBUTION IS POISSON LAW. OBTAIN EXPRESSIONS FOR LAW EXPECTATION AND VARIANCE FOR POISSON LAW. 2. LET COMPARE THIS EXPRESSIONS. IT'S VERY INTERESTING, ISN'T IT? WHAT DO YOU THINK ABOUT THIS PROPERTY OF POISSON LAW? DO YOU LAW KNOW ANYTHING ABOUT ANOTHER FEATURES OF PL? PL Nick A. Lookin, ACS-RTD-USTU, 2008 Real-Time Systems

5 RTS structure /Works Answers/ Home work (HW-4) (cont) Nick A. Lookin, ACS-RTD-USTU, 2008 5 RTS structure /Works Answers/ Home work (HW-4) (cont) Nick A. Lookin, ACS-RTD-USTU, 2008 Real-Time Systems

6 RTS structure /Works Answers/ Home work (HW-4) (cont) Nick A. Lookin, ACS-RTD-USTU, 2008 6 RTS structure /Works Answers/ Home work (HW-4) (cont) Nick A. Lookin, ACS-RTD-USTU, 2008 Real-Time Systems

7 RTS structure /Works Answers/ Class work (CW-2) To write expression for mean square 7 RTS structure /Works Answers/ Class work (CW-2) To write expression for mean square deviation of X(t) in two forms: −continuous form; −discrete form Nick A. Lookin, ACS-RTD-USTU, 2008 density of distribution Real-Time Systems

8 RTS structure /Works Answers/ Class work (CW-6) Let λ is failure rate for 8 RTS structure /Works Answers/ Class work (CW-6) Let λ is failure rate for exponential distribution of failures. Prove that λ(t) is constant. Nick A. Lookin, ACS-RTD-USTU, 2008 Real-Time Systems