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(Solved) : Hw15 Consider Following Discrete Time Systems 1 T X N 2x N 2 T X N 3x N 4 3 T X N X N 2x N Q44137556 . . .

solve 1.6, ignore whatever in brackets

HW1.5 Consider the following discrete-time systems: 1- T[x(n)] = 2x(n) 2- T[x(n)] = 3x(n) + 4 3- T[x(n)] = x(n) +2x(n − 1) – x(n − 2) Use (2.10) to determine analytically to see whether each system is Linear? B. Let x1(n) be a uniform distributed random sequence and x2(n) be a Gaussian distributed random sequence with mean 0 and variance 10 over Osns 100. Test linearity of 3rd system only. Choose any values for a 1 and a2. HW1.6 Consider the discrete-time systems given in Problem HW1.5. A. Use (2.12) to determine analytically to see whether these systems are time-invariant? B. Do the same as previous question of part B. Show transcribed image text HW1.5 Consider the following discrete-time systems: 1- T[x(n)] = 2x(n) 2- T[x(n)] = 3x(n) + 4 3- T[x(n)] = x(n) +2x(n − 1) – x(n − 2) Use (2.10) to determine analytically to see whether each system is Linear? B. Let x1(n) be a uniform distributed random sequence and x2(n) be a Gaussian distributed random sequence with mean 0 and variance 10 over Osns 100. Test linearity of 3rd system only. Choose any values for a 1 and a2. HW1.6 Consider the discrete-time systems given in Problem HW1.5. A. Use (2.12) to determine analytically to see whether these systems are time-invariant? B. Do the same as previous question of part B.

Expert Answer

Answer to HW1.5 Consider the following discrete-time systems: 1- T[x(n)] = 2x(n) 2- T[x(n)] = 3x(n) + 4 3- T[x(n)] = x(n) +2x(n �…