2.For the two discrete-time systems below, please determine if they arelinear and time-invariant. Please clearly indicate linear/non-linear and time-invariant/time-varying for each of the two systems. You must show your workdetermining both linearity and time-invariance.a. y[n] = 3x[n] + 2x[n − 1]b. y[n]y[n 1] + 2 cos(x[n])

Both are explained belowExplanation:Step 1: Step 2: Step 3: Step 4:

Answered: 2. For the two discrete-time systems…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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Similar questions

Consider two systems one is second order and the other is third order. The characteristic equations are: as2+bs+c for the second order and as3+bs2+cs+d for the third order, where a,b,c,d are positive real numbers. Then which of the following is correct with regard to the stability of these two systems? a. stability of either system cannot be confirmed with the given data b. third order is definitely stable but second order cannot be confirmed c. both systems are definitely stable d. second order is definitely stable but third order cannot be confirmed
1. Consider the following discrete-time systems and answer the questions given below. Show full proof. a. Determine if the following system is linear. y[n] = |x[n]| b. Determine if the following system y[n] is time-invariant. y[n] = x[-n+1] - 2x[n]
Inside a system contains two small discrete time systems X and Y. X: y[n] = ax[n] + bx[n-1] + cx[n-2] , where a, b, and c are real constants Y: y[n] = med{x[n-1], x[n], x[n+1]} , where med is taking median value of three inputs. Explain and prove why different order of the two systems yields two different results.
Which of the following is not true? a.Increasing system gain increases stability b.poles farther to the left of imaginary axisimprove speed c.steady-state errors are important in the studyof unstable systems d.multiple poles on the imaginary axis improvessystem stability
Consider a continuous-time system with input x(t) and output y(t) related by y(t) = x(cos(t)) +1 a) Is this system time invariant? Give reasons for your answer. b) Is this system linear? Give reasons for your answer. ¢) Is this system causal? Give reasons for your answer.
a discreate time , linear time variant dynamic system is described by difference equation y[k+2]-y[k]=0.5u[k], k>=0, y[0]=1, y[1]= 0 a. rewrite the system dynamics in the controlable canonical form. b. is the system asymptomtic satble?
. A continuous-time system is defined by an input-output relation as; y(t) = 3x(t) – 5x(t+1) Determine whether this system has the properties given below. i) Memoryless, ii) Causal, iii) Stable, iv) Linear, v) Time-invariant.
A) Reduce the block diagram. B) G1(s)= 2/s, G2(s)= 1/4s+2, G3(s)=4, H(s)=0.5 according to the given values, find the system's time constant, natural frequency, and damping rate, and explain what dynamic behavior it will exhibit accordingly. C) G1(s)= 2/s, G2(s)= 1/4s+2, G3(s)=4, H(s)=0.5 Find the poles and zeros of the system according to the given values. Accordingly, specify whether the system is stable. Find the unit digit response (reverse laplace)
Determine whether the following discrete time system with input u (k) and output y (k) is a-) Linear / non-linear b-) time-varying / time-invariant system or not by briefly writing the reasons.
Set up a system of first-order differential equations for theindicated currents I1 and I2 in the electrical circuit ofFig. 4.1.14, which shows an inductor, two resistors, anda generator which supplies an alternating voltage drop ofE(t) = 100 sin 60t V in the direction of the current I1.
On the following system. check the system charactratics (Causality, Linearity, Time Invariance, Stability, memory, Invertibility)? Y(t)=x^2(t)
) Explain, with reasons, whether the LTIC systems described by the following equations are (i) stable orunstable in the BIBO sense; (ii) asymptotically stable, unstable, or marginally stable. Assume that the systemsare controllable and observable.a. (D2 + 8D + 12)y(t) = (D − 1)x(t)b. D(D2 + 3D + 2)y(t) = (D + 5)x(t)c. D2(D2 + 2)y(t) = x(t)d. (D + 1)(D2 − 6D + 5)y(t) = (3D + 1)x(t)

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