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A system is described by the difference equation y[n] – y[n-1] + 1/4 y[n-2] = x[n] + 1/4 x[n-1] – 1/8 x[n-2]
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Signal Transmission Through Linear Networks
by
Harman
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State and prove the properties of Unilateral Z-Transform and ROC.
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Signal Transmission Through Linear Networks
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Harman
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Obtain an expression to express a continuous time periodic signal in Fourier series representation in (i) Trigonometric form (ii) Exponential form.
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Signal Transmission Through Linear Networks
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Harman
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Draw Direct Form I and Direct Form II implementations for the following difference equations:
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Signal Transmission Through Linear Networks
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Harman
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Evaluate the total response of the system described by the differential equation y’’(t) + 5 y’(t) + 6 y(t) = 2 exp(-t) u(t) with initial conditions y(0) = 0; y’(0) = 1.
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Signal Transmission Through Linear Networks
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Harman
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Prove that absolute summability of impulse response is a necessary condition for the stability of a discrete time system.
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Signal Transmission Through Linear Networks
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Harman
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Evaluate natural response, forced response, and total response for a system described by the difference equation y(n) + 0.1 y(n-1) – 0.3 y(n-2) = 2 u(n) with initial conditions y(- 1) = 0, y(-2) = 0.
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Signal Transmission Through Linear Networks
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Harman
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Derive the expressions for Convolution sum and Convolution integral.
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in
Signal Transmission Through Linear Networks
by
Harman
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Determine the inverse z-transform of x(z) = (1+3z-1) / (1+3z-1+2z-2) for z >2
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Signal Transmission Through Linear Networks
by
Harman
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State and prove the following properties of z-transform.
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Signal Transmission Through Linear Networks
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Harman
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