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Using the z transform method, solve the difference equation $Y[n] - 4y[n-1]+ 4y[n-2] = x[n]- x[n-1] \\ \text {When } \space y(-1) = y(-2) = 0$
signals and systems updated 8.1 years ago by teamques10 ★ 68k
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Compare the nature of ROC of z transform and Laplace transform.
signals and systems updated 8.1 years ago by teamques10 ★ 68k
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A system is described by the following difference equation. Find out its transfer function H(z).
signals and systems updated 8.1 years ago by teamques10 ★ 68k
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Convolve $x[n] = (\dfrac {1^n}3 )u[n]$ with $h[n] = (\dfrac {1^n}2 )u[n]$ using convolution sum formula and verify your answer using z-transform.
signals and systems updated 8.1 years ago by teamques10 ★ 68k
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Calculate z-transform of the following signal:
signals and systems updated 8.1 years ago by teamques10 ★ 68k
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State and discuss the properties of the region of convergence for z-transform.
signals and systems updated 8.1 years ago by teamques10 ★ 68k
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Determine the inverse z-transform for the function: $ X[z] = \dfrac {z^2+z}{z^2-2z+1}\space ROC|z| > 1$
signals and systems updated 8.1 years ago by teamques10 ★ 68k
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Determine the z transform & the ROC of the discrete time signal. $X[n] = \{ 2, 10, 1, 2, 5, 7, 2\}$
signals and systems updated 8.1 years ago by teamques10 ★ 68k
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Determine the inverse z transform of the function using Residue method $X(z)=\dfrac {3-2z^{-1}+z^{-2}}{1-3z^{-1}+2z^{-2}}$
signals and systems updated 8.1 years ago by teamques10 ★ 68k
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Two LTI systems in cascaded have impulse response $h_1 [n] $ and $h_2 [n]$
signals and systems updated 8.1 years ago by teamques10 ★ 68k
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A causal LTI system is described $y[n] = \dfrac 34y[n-1]-\dfrac 18 y[n-2]+x[n].$Where y[n] response of the system and x[n] is excitation to the system.
signals and systems updated 8.1 years ago by teamques10 ★ 68k
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Obtain inverse Laplace transform of the function. Write down and sketch possible ROCs. $X(s)=\dfrac 8{(s+2)^3(s+4)}$
signals and systems updated 8.1 years ago by teamques10 ★ 68k
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A system is described by the following difference equation. $y[n]=\dfrac 34 y[n-1]-\dfrac 18y[n-2]+x[n]$
signals and systems updated 8.1 years ago by teamques10 ★ 68k
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Obtain inverse Laplace transform of the function $X(s)=\dfrac {3s+7}{s^2-2s-3}$
signals and systems updated 8.1 years ago by teamques10 ★ 68k
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Find the inverse Laplace transform of the following
signals and systems updated 8.1 years ago by teamques10 ★ 68k
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Find the inverse Laplace transform of $\dfrac {s-2}{s(s+1)^3 }$
signals and systems updated 8.1 years ago by teamques10 ★ 68k
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For the given LTI system, described by the differential equation:
signals and systems updated 8.1 years ago by teamques10 ★ 68k
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Find the response of a system with transfer function
signals and systems updated 8.1 years ago by teamques10 ★ 68k
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For the given system, determine whether it is,
signals and systems updated 8.1 years ago by teamques10 ★ 68k
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A discrete time signal is given by $x[n] = \{1, 1, 1, 1, 2\}.$ Sketch the following signals.
signals and systems updated 8.1 years ago by teamques10 ★ 68k
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Determine whether the signals are power or energy signals. Calculate energy/power accordingly.
signals and systems updated 8.1 years ago by teamques10 ★ 68k
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For the given system, determine whether it is,
signals and systems updated 8.1 years ago by teamques10 ★ 68k
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For the following system, determine whether it is
signals and systems updated 8.1 years ago by teamques10 ★ 68k
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Find the autocorrelation, power and power spectral density of the signal $X (t) = 3 \cos t+4 \cos3t.$
signals and systems updated 8.1 years ago by teamques10 ★ 68k
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Define and Explain:
signals and systems updated 8.1 years ago by teamques10 ★ 68k
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