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lecture5

# lecture5 - EE313 Linear Systems and Signals Spring 2009...

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EE313 Linear Systems and Signals Spring 2009 Initial conversion of content to PowerPoint by Dr. Wade C. Schwartzkopf Prof. Brian L. Evans Dept. of Electrical and Computer Engineering The University of Texas at Austin Continuous-Time Convolution

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5 - 2 Convolution Demos Johns Hopkins University Demonstrations http://www.jhu.edu/~signals Convolution applet to animate convolution of simple signals and hand-sketched signals Convolve two rectangular pulses of same width gives a triangle (see handout E) Some conclusions from the animations Convolution of two causal signals gives a causal result Non-zero duration (called extent) of convolution is the sum of extents of the two signals being convolved
5 - 3 Transmit One Bit Transmission over communication channel (e.g. telephone line) is analog Τ h t ) ( t h 1 Τ p t ) ( 1 t x A ‘1’ bit t Τ p ) ( 0 t x - A ‘0’ bit Model channel as LTI system with impulse response h ( t ) Communication Channel input output x ( t ) y ( t ) t t ) ( 1 t y receive ‘1’ bit ) ( 0 t y - A T h receive

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