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accounting information systems

Questions and Answers of Accounting Information Systems

What is Cayley-Hamilton theorem? p(A) = A - 24-34 + 6I - I = A - 5A +5I || || || 3 1 3 1 12 12 HI H 10 5 5 5 15 5 5 10 3 1 12 50 05 H ]-[:] 00 = 00 10 + [ 11 +5 01 10-15+5 5-5+0 5-5+0 5-10+5
What is state transition matrix STM?
Consider the following differential equation\[\frac{d^{3} y}{d t^{3}}-5 \frac{d^{2} y}{d t^{2}}+6 \frac{d y}{d t}+7 y=2 \frac{d x}{d t}+5 x(t)\]Form the state space equation in canonical form II
Consider the following T.F. of a certain discrete system given below. Form the state space equation of canonical form I model. H(z) = 2z + 6z +9 z + 8z +7z+ 16
Consider the following T.F. of a certain discrete-time system\[H(z)=\frac{4 z^{2}-5 z+10}{z^{3}+2 z^{2}-7 z+9}\]Form the state variable equation in canonical form II model.
What physical variables are chosen as state variables in electrical circuit and mechanical systems?
What are the advantages of state space model over that of transfer function model?
A certain discrete-time system is described by the following difference equation.\[\begin{aligned}& y[n]-\frac{1}{12} y[n-1]-\frac{1}{6} y[n-2]+\frac{1}{48} y[n-3] \\& \quad=x[n-1]-\frac{3}{8}
For a particular system, the \(\boldsymbol{A}\) matrix is represented in more than one form. What is the nature of characteristic equation?
Find the state equation of a continuous-time LTI system described by\[\ddot{y}(t)+3 \dot{y}(t)+2 y(t)=x(t)\]
How are signals classified?
What are odd and even signals?
How even and odd components of a signal are mathematically expressed for CT and DT signals?
What are periodic and non-periodic signals?
What is the fundamental period of a periodic signal? What is fundamental frequency?
What are power and energy signals?
What is the condition that the signal \(x(t)=e^{a t} u(t)\) to be energy signal?
Is the unit step signal an energy signal?
Determine the power and RMS value of the signal \(x(t)=e^{j a t} \cos \omega_{0} t\) ?
What is the periodicity of \(x(t)=e^{j 100 \pi t+30^{\circ}}\) ?
Find the equivalence of the following functions (a) \(\delta(a t)\); (b) \(\delta(-t)\); (c) \(t \delta(t)\);(d) \(\sin t \delta(t)\); (e) \(\cos \delta(t)\); (f) \(x(t)
How do you represent an everlasting exponential \(\boldsymbol{e}^{-a t}\) for \(\boldsymbol{t} \geq \mathbf{0}\) and \(\boldsymbol{t}
Find the value of \(\frac{t^{2}+5}{t^{2}+6} \delta(t-2)\).
Find the odd and even components of \(e^{j 2 t}\).
Define system. What is linear system?
What is time invariant and time varying system?
What are static and dynamic systems?
What are causal and non-causal systems?
What are stable and unstable systems?
What are invertible and non-invertible systems?
State the condition for a discrete-time LTI system to be causal and stable.
Check whether the system having the input-output relation\[y(t)=\int_{-\infty}^{t} x(\tau) d \tau\]is linear and time invariant.
Check whether the system classified by\[y(y)=e^{x(t)}\]is time invariant or not?
Determine whether the system described by the following input-output relationship is linear and causal.\[y(t)=x(-t)\]
Is the system \(y(t)=\cos t x(t-5)\) time invariant?
What do you understand by transient response of a system?
What are first- and second-order systems?
What is a standard second-order system equation?
What are the time domain specifications of a first-order system?
What are the time domain specifications of a second-order system?
How second-order system is identified according to the nature of damping?
How location of poles are identified in the \(s\)-plane according to the \(+v e\) damping?
What do you understand by negative damping?
What is damped frequency of oscillation of a second-order system?
How system function is defined for a CT system?
A triangular pulse signal \(x(t)\) is shown in Fig. 1.77a. Sketch the following signals. (a) \(x(4 t)\); (b) \(x(4 t+3)\); (c) \(x(-3 t+2)\); (d) \(x\left(\frac{t}{3}+2ight)\); (e) \(x(3
Sketch the even and odd parts of the following signals shown in Fig. 1.88a and \(\mathrm{b}\).Figure 1.88 a and b (a) 2 0 x(t) 2 (b) 1 + x(t) 0 2 t
Consider the CT signal \(x(t)=\delta(t+4)-\delta(t-4)\). Sketch \(\int x(t) d t\) and find the energy of the signal (Fig. 1.89).Energy \(E=8\).Figure 1.89 -4 [18(1+4)-8(1-4)]dt 0 4 +
Find the energy of the following CT signal. (a) \(x(t)=\operatorname{tri3} t\); (b) \(x(t)=2 \operatorname{tri}\left(\frac{t}{2}ight)\);(c) \(x(t)=\operatorname{rect10t}\); (d) \(2
What is the average power of the triangular wave shown in Fig. 1.90? Average power \(P=\frac{1}{3} \mathrm{~W}\).Figure 1.90 Triangular wave 1 0 x(t) 1 M 3 4 2 5 6 t
(a) The system response requires memory. Hence, it is dynamic.(b) The output depends on the present input only. Hence, it is causal.(c) The output due to the delayed input is not the same as the
(a) The output response depends on present and past inputs. Hence, it is dynamic.(b) The output does not depend on the future input. Hence, it is causal.(c) The output due to the delayed input is
(a) The system response depends on present, past, and future inputs. Hence, it is dynamic.(b) Since the output depends on the future input, it is non-causal.(c) The output due to the delayed input is
The output depends on present, past, and future inputs.(a) The system is dynamic.(b) The system is non-causal.(c) The output due to the delayed input is not the same as the delayed output. The system
(a) The system requires memory and so it is dynamic.(b) The output depends on present and past inputs. Hence, it is causal.(c) The output due to the delayed input is same as the delayed output. The
Consider the system shown in Fig. 1.91. Derive expressions for the impulse response and unit step response of the system. Also determine \(T, t_{r}, t_{d}, t_{s}\) for step input.Figure 1.91 R(s)
Consider the second-order system shown in Fig. 1.92. The system is subjected to unit step input. Derive the expression for the output variable. Determine the time domain specifications \(T, t_{s},
Explain why system is tested for impulse and step inputs.
Consider the mechanical system shown in Fig. 1.93a. Draw the F-V and F-I analogous circuits and verify by writing down the dynamic equations describing the given system and the electric circuit so
What is a Fourier series?
What are the different forms of representing Fourier series?
Give mathematical expression for trigonometric Fourier series?
What is the effect of symmetry in trigonometric Fourier series?
What is half wave symmetry?
Give the mathematical expression for the cosine Fourier series.
Give mathematical expression for the exponential Fourier series?
How the coefficients of exponential Fourier series are related to the coefficients of trigonometric and cosine Fourier series?
Why exponential Fourier series is preferred to represent the Fourier series?
What do you understand by Fourier spectrum?
What do you understand by existence of Fourier series?
What do you understand by convergence of Fourier series in the mean?
What are Dirichlet conditions?
What do you understand by Parseval's theorem as applied to Fourier series?Parseval's theorem anb = [bx + abiz iabjez +abr +.. 12/17 2 1 2 = ab + ab+... (2 b + 0 + 0 + 2;by + ... by + + ...) +* -R
What are differentiating and integrating properties of Fourier series?
Determine the trigonometric and exponential Fourier series representation of the signal \(x(t)\) shown in Fig. 2.14?Figure 2.14(a) Trigonometric or quadratic Fourier series.(b) Exponential Fourier
Consider the following signal:\[x(t)=\cos \left(\frac{1}{3} t+30^{\circ}ight)+\sin \left(\frac{2}{5} t+60^{\circ}ight)\]Determine (a) Whether the signal is periodic, (b) Find the fundamental period
For the signal shown in Fig. 2.15, determine the coefficients of exponential Fourier series. -4 - -3 -2 - 1 2 1 4 x(t) -1 0 | 1 2 93 3 4 5 6 t
Find the exponential Fourier series coefficients for the signal shown in Fig. 2.16a and plot its amplitude and phase spectrum.Figure 2.16a (a) -3 -2 - 1 - x (t) 1 0 et 1 2 4 3 +
Consider the signal shown in Fig. 2.17. Determine the exponential Fourier series coefficients. - 2 x(1) 1 2 --1 - 0 2+1 3 4
What do you understand by Fourier transform pair?
How Fourier transform is different from Fourier series?
How FT is developed from Fourier series?
How Parseval's Energy theorem is defined for the frequency domain signal?
What is the connection between Fourier transform and Laplace transform?
What do you understand by frequency response?
What is the condition required for the convergence of Fourier transform?
What is the Fourier transform of x (t) = d dt2x (t+1)
What is the FT of \(x(t)=[\delta(t+5)-\delta(t-5)]\) ?
Find the FT of \(x(t)=2[u(t+6)-u(t-6)]\) ?
Consider the following continuous time signal.\[x(t)=e^{-5|t|}\]Find the FT. Hence determine the FT of \(t x(t)\).
For the signal \(X(j \omega)\) shown in Fig. 3.43, determine \(x(t)\) ?\[x(t)=5 \frac{\sin 5 t}{\pi t}\] -5 X(jw) 5 0 5 3
Consider the signal shown in Fig. 3.44. Find \(X(j \omega)\). What is the FT for \(x(t-1)\) ? - 1 - +x(t) 2 1 0 1
Using Parseval's theorem evaluate energy in the frequency domain. 8118 anbn = . |aybz + iayb2e-iz iagbjeiz + agb2% + - 27 (2 by + 0 + 0 + 2magby + ...) = ab + agbg + ..
\[x(t)=e^{-2 t} u(t)\]and\[\begin{aligned}h(t) & =e^{-4 t} u(t) \\y(t) & =x(t) * h(t)\end{aligned}\]Using time convolution property find \(Y(j \omega)\) and \(y(t)\) ?
\[\begin{aligned}x(t) & =e^{-2 t} u(t) \\h(t) & =e^{-2 t} u(t) \\y(t) & =x(t) * h(t)\end{aligned}\]Find \(Y(j \omega)\) and hence \(y(t)\) ?
A certain LTIC system is described by the following differential equation.\[\frac{d y(t)}{d t}+2 y(t)=x(t)\]Determine the Frequency response and the Impulse response?
What is Laplace Transform?
What do you understand by LT pair?
What is bilateral Laplace transform?
What is unilateral Laplace transform?

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