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Assignment 5

Assignment 5 - H F = j sin(2 πF • H F = 8 e j 2 πF 8-5...

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School of Engineering Science Simon Fraser University ENSC-380, Spring 2009 Assignment 5 Due by: April 6th, 4:00PM, ENSC-380 Drop Box (Assignments handed in any time after 4:00PM of the due date will be date stamped and considered late.) Note: for each of the following problems provide the detailed solution and show the steps to reach the final answer. Feel free to use the FT properties/tables wherever needed and mention the names of the properties/table pairs you have used. Problem 1. Determine which of the following systems are casual and explain why: H ( f ) = 4 25 - 4 π 2 f 2 + j 12 πf e j 2 πf H ( f ) = 49 49+4 π 2 f 2
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Unformatted text preview: H ( F ) = j sin(2 πF ) • H ( F ) = 8 e j 2 πF 8-5 e-j 2 πF Problem 2. Draw the phase and magnitude of the following ﬁlters and classify them (lowpass, highpass, or bandpass): • H ( f ) = 1 1+ jf • H ( f ) = jf 1+ jf Problem 3. m ( t ) is a signal with bandwidth of 10 Hz . Double sideband modulation is per-formed to generate the signal g ( t ) given as g ( t ) = m ( t )sin(100 πt ) Then g ( t ) is given as an input to the system shown in the following ﬁgure where the ideal lowpass ﬁlter has a bandwidth of 10 Hz . Find y ( t ). 1...
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