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ECE108HW%232_06

# ECE108HW%232_06 - ECE 108 HW#2 Due Text"Signals...

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ECE 108 HW#2 --- Due 2/6/06 Text: "Signals & Systems",Oppenheim & Willsky, 2 nd Edition Read: 2.1-2.3 (you can omit 2.3.5) Problems: 1. Given the discrete-time signal, x ( n ), and discrete-time system unit impulse response, h ( n ), it is desired to determine the system response, y ( n ). ( ) ( ) ( ) ( ) ( ) 1 2 5 1 1 2 n x n u n u n h n u n + = + = + (a) Sketch both signals (b) Use the graphical method of convolution to find the response. This method will require you to break the solution up into different parts (cases). How many different cases will be required for this problem? (b) For each case sketch the signals that you will use in the convolution sum. (c) Give a closed form solution for y ( n ) for all values of n . (d) Sketch the solution, y ( n ). 2. Given the continuous-time system input signal, x ( t ), and discrete-time system impulse response, h ( t ), it is desired to determine the system response,

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