A system’s output, c, is related to the system’s input, r, by the straight-line relationship, c = 5r + 7. Is the system linear?
A system’s output, c, is related to the system’s input, r, by the straight-line relationship, c...
The plot below shows the input (solid line) and output (dashed line) of a linear system being excited with a sine wave. The horizontal axis is time in seconds. 3 2 I- Input Output -2 2 1.2 1.4 1.6 1.8 0 0.2 0.4 0.6 0.8 Time [s What is the frequency of the sine wave in Hz? What is the gain of the system at this frequency (straight units) What is the phase shift of the system at this frequency...
Consider three systems with the following input-output relationships 6. Consider three systems with the following input-output relationships: { 4 0, odd System 1: y[n n even r[n] 10ar(n 2]3r[n - 1 System 2: yn + + System 3: yn x[3n] The interconnection diagram is at follows: System 1 System 2 System 3 Find the input-output relationship of the interconnected system. State the properties of the system (linear, stable, time invariant, memoryless, and causal). 6. Consider three systems with the following...
A system is known to have the following input and output relationship. (y output, f input) s2 +3s +2 Create a Simulink model based on this system (Do not Use Transfer function block. Use Integrator (1/s) Gain block, and adder (or subtractor) for Transfer function.) The input f(t) is te05t. Plot two graphs - a) input vs. output and b) time vs. output (Use XY graph and scope) A system is known to have the following input and output relationship....
Find relationship between output and input voltage for OP-AMP circuits given below. 4) 5) R, R, R,
2.7. A linear system S has the relationship between its input x[n] and its output y[n], where g[n] - uln] uln - 4].
7. For a linear system whose input-output relations is represented as: v n]=x[n]+0.5x[n-l]-0.25x[n-2]·(x r input. y[n] output) We also assume this system is originally at rest, ie. yln] -0 ifnco. (a) Write the transfer function of this systenm (b) Determine the first five samples of its impulse response. (c) Is this system a stable system? (d) Write down the input-output relation the causal inverse system of this system (e) Use Matlab to finds zeros and poles of the transfer function...
Intro to Stats Q1: Q2: [3-6] Correlation is a measure of the direction and strength of the linear (straight-line) association between two quantitative variables. The analysis of data from a study found that the scatter plot between two variables, x and y, appeared to show a straight-line relationship and the correlation (r) was calculated to be -0.84. This tells us that there is little reason to believe that the two variables have a linear association relationship all of the data...
2. (a)Classify the system with input-output relationship yoxio)dt as (i) Linear or Nonlinear(ii) Time-Invariant or Time-Varying. (b) Use Parseval's Theorem to evaluate the following integrals (c) Find the Fourier transform of the signal 1 + cos otherwise
In the following questions, r(t) represents the input of a system and y(t) represents the output (a) The system y(t) is linear, but not time-invariant. Is it causal? Explain your reasoning. (b) The system y(t)-VI tl) is linear, but not time-invariant. Is it causal? Explain your reasoning (c) For what value(s) of a, if any, is the system yt)exp(at)(t) time-invariant? (d) For what value(s) of a, if any, is the system y(t)- exp(at)z(t) linear?
1. Consider a continuous system whose input x(t) and output y(t) are related by dy(t) + ay(t) = x(t) dt where a is a constant. (a) Find y(t) with the condition y(0) = yo and x(t) = Ke-bu(t) (b) Express y(t) in terms of the zero-input and zero-state responses. 2. Consider the system in Problem 1. (a) Show that the system is not linear if y(0) = yo 70. (b) Show that the system is linear if y(0) = 0....