Examine the properties (memory, stability, casuality, linearity, and time-invariance) for the following systems (a) y(t) =...
Classify or characterize the following systems as homogeneous, additive, linearity, time-invariance, BIBO stability, causality, invertible, and memoryless: (a) y(n) = Re(a(n)), (c) y(n-2(4n + 1) (d) y(n)=x(-n) (e) y(n) = 2(n-2)-22(n-8) (f) y(n) = nx(n) (g) y(n) = Even{x(n-1))
Classify or characterize the following systems as homegeneous, additive, linearity, time-invariance, BIBO stability, causality, invertible and memoryless (a) y(n)= Re(z(n)), (b) y(n) = Re(ejiHz(n)) (e) y(n)=x(4n +1) e) y(n)r(n -2) - 2x(n - 8) (g) y(n) Evenfx(n - 1))
Classify each in terms of linearity, time invariance, memory (static/dynamic), & causality (a) y’’(t) + 3y’(t)=2x’(t) + x(t) (b) y’’(t) + 3y(t)y’(t)=2x’(t) + x(t) (c) y’’(t) + 3tx(t)y’(t)=2x’(t) (d) y’’(t) + 3y’(t)=2x2 (t) + x(t+2) (e) y(t) + 3 = 2x2 (t) + 2x(t) (f) y(t) = 2x(t+1) + 5 (g) y’’(t) + e-ty’(t) = | x’(t-1) | (h) y(t) = x2 (t) + 2x(t+1) (i) y’’(t) + cos(2t)y’(t) = x’(t+1) (j) y(t) +t y(t)dt = 2x(t) -infinit,i
system #1 is described by y(t) = ramp(x(t)) and system #2 is described by y(t) = x(t) ramp(t). Classify both systems as to BIBO stability, linearity, invertibility and time invariance.
This is signals and systems course I need help in this table for system properties A. Continuous-Time Systems TI CausalMemoryless Linea yCe)ae-1)+2 y(r) 3x(t)cos (1) y(c) xe-1) + 1 no Yes y(c) te y(t) = 2 (t) y(t)-|x(t)l lnh dini no yes yes no no no yes Yes no n b -sin()x) y(c)-(2+sin()) x( yes yes no no yes r(1-1) 1x(1-1 10 10 t-D)10 y(t) = x(-t) (c)(2t) 3x(c) cos(t+ 1) no es no ho eo y(t) y(t) log (x(t)
The unit-sample response of a DT LTI system is h[n], shown below. Use linearity and time-invariance to find the response of the system to each of the inputs below. (a) x[n] = δ[n] − δ[n − 3] (b) x[n] = u[n] (c) x[n] = 3δ[n] − 2(δ[n + 1] + δ[n − 1]) + δ[n + 2] + δ[n − 2] Problem 3. The unit-sample response of a DT LTI system is hn], shown below. h[n] 2, 0,1 h[n-1, -2...
For each of the following systems, determine which of the above properties hold. 5. General properties of systems. A system may or may not be: (a) Memoryless (b) Time Invariant (c) Linear (d) Causal (e) Stable For each of the following systems, determine which of the above properties hold. (a) y(t)sin(2t)x(t) { 0, x(t)2t 3) t20 t <0 (b) y(t) = (c) yn3[n ] -n-5] x[n], 0, n 1 (d) yn 0 n= n2, n< -1 5. General properties of...
External Stability Problem Determine the following systems are BIBO stable? (a) y(t)-x(t) *x(t) (b) y(t)=tx(t) (c) y(t)-d(/d
Problem 2. Decide if the following systems are linear, time-varying, causal, and have memory. The signals r[n] or r(t) are the input, and the signals y[n] or y(t) are the output Put Y for Yes, and N for No. No justification is needed. Linear? Time-Invariant?Causal?Has Memory? System y(t) = cos[r(t)] y(t) = 2t-x(t + 1) y(t) = r(3) 2 | 6 | y[n] = x[n] + x[n-1] + 1
Test which of the following systems are linear, time-invariant, casual, and stable. (a) y[n] = x[-n] (Time-Flip) (b) y[n] = log(|x[n]|) (Log-magnitude) (c) y[n] = x[n] - x[n-1] (First-difference) (d) y[n] = round {x[n]} (Quantizer) PLEASE SHOW WORK