Hw3 - ECE 301 HW3 Due Problem 1 For parts a-c find the impulse response of the continuous-time system Part a y t = integraltext t 2 t 2 x τ dτ

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Unformatted text preview: ECE 301 HW3 Due: 6/29/11 Problem 1 For parts a-c, find the impulse response of the continuous-time system. Part a: y ( t ) = integraltext t +2 t- 2 x ( τ ) dτ Part b: y ( t ) = x ( t ) + x ( t- 1) Part c: d dt y ( t ) + 4 y ( t ) = x ( t ) Problem 2 For parts a-c, find the impulse response of the discrete-time system. Part a: y [ n ] = ∑ n k =-∞ x [ k ] Part b: y [ n ] = x [ n ]- 1 3 y [ n- 2] Part c: y [ n ] = x [ n +1]- 2 x [ n ]+ x [ n- 1] 4 Problem 3 Find the output of the system given the impulse response, h ( t ), and input, x ( t ), and sketch the output, y ( t ). 1 Part a: h ( t ) = e-| t | x ( t ) = cos ( πt ) Part b: h ( t ) = U ( t )- U ( t- 2) x ( t ) = U ( t + 1)- U ( t- 1) Problem 4 Find the output of the system given the impulse response, h ( t ), and input, x ( t ), and sketch the output, y ( t ). Part a: h ( t ) = δ ( t )- δ ( t- 1) x ( t ) = U ( t )- U ( t- 3) Part b: h ( t ) = cos ( t ) U ( t ) x ( t ) = δ ( t )- δ ( t- π ) Problem 5 Find the output of the system given the impulse response,...
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This note was uploaded on 02/14/2012 for the course ECE 301 taught by Professor V."ragu"balakrishnan during the Fall '06 term at Purdue University-West Lafayette.

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Hw3 - ECE 301 HW3 Due Problem 1 For parts a-c find the impulse response of the continuous-time system Part a y t = integraltext t 2 t 2 x τ dτ

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