Please Prove your answers mathematically, I need clear writing
Please Prove your answers mathematically, I need clear writing PROBLEM2 y(n) = 2 x(n-2) sin (nn)...
2. (10 pts.) Consider a system with input c() and output y(t) = x(2t) - 2(t-2). Determine whether this system is time-invariant and/or linear. Justify your answers.
Consider the discrete-time system with input x[n] and output y[n] described by : y[n]=x[n]u[2-n] Which of the following properties does this system possess? Justify your answer in each case. Do not use Laplace transforms a) Memoryless b)Time-invariant c) Linear d)Casual e) Stable
Please write in clear writing (3) Let 72 : X - Y, 7, : X Z be bounded linear operators. Prove that 71 72 is also bounded and linear satisfying 117, 7:11 S || 7. 17:
Determine whether its linear and/or time invariant: y[n] = -x[n]+4x[n-1]-x[n-2] y[n] = x[n] -2 y[n] = x[n] * n^2
After reading the questions carefully, please prove and compute the questions with clear hand writing. I need to understand clearly, so when you prove these questions, please prove it step by step clearly!!!! 3- Let f: [0,1R be defined by f(x) = x2. For each n e N, let P be the partition of [0, 1 into n equal subintervals 3-1) Find formulas for U (f, P,) and L(f, P,). You may use the formula 2 = " n)without proof....
The system y[n]= x[n] +8x[n + 1]+x[n +2] is O With memory. Causal, Time-varying and Linear With memory, None Causal, Time-varying and Linear With memory, None Causal, Time-invariant and Linear Memmoryless, None Causal, Time-invariant and Linear With memory, None Causal, Time-invariant and None Linear The system y[n]= x[n] +8x[n + 1]+x[n +2] is O With memory. Causal, Time-varying and Linear With memory, None Causal, Time-varying and Linear With memory, None Causal, Time-invariant and Linear Memmoryless, None Causal, Time-invariant and Linear...
2. Consider the two systems below (a) (2) y(t)2) Is this system time-invariant? Justify your answer. J-OO Is this system linear? causal? Justify your answers.
For the system described by y[n] = n2 x[n – 1], determine whether it is a) Linear or not b) Time-invariant or not c) BIBO stable or not d) Causal or not and e) Memoryless or not
2. (a) For each sample of a discrete time signal x[n] as input, a system S outputs the value y[n- . Determine whether the system S is i. linear ii. time-invariant 1ll. causal iv. stable Each of your answers should be supported by justification. In other words, show your reasoning (b) Consider a stable linear time-invariant (LTI) system with transfer function H(z). It is required to design a LTI compensator system G(z) that is in cascade with H(z) such that...
I need to prove this mathematically and I'm not sure what to do. 3. (a) Find the best possible relationship using one of the notations: 0, 2, O, o, w, for the following pairs of functions: n3 + 6n1.5 + 3100 and nig8 – 10n1.6 – 9000; nlgn and n1.01; 3n and (3.01)”; 7" and n!. Justify each answer. (b) Function f(n) = 21 +5000n - 60000 when n < 75 and f(n) = n2 – 100n for 150 >...