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Unformatted text preview: ECE-2025 Spring-2009 Lecture 19 Continuous-Time Convolution 27-March-09 fo: Lab & HW Info: Lab & HW Quiz #2 Resolve grades by 31-March (Tuesday) ab Cochlear ilterbank FORMAL ab: Lab #9: Cochlear Filterbank is FORMAL Lab: Lab #9 Full Report starting on Wed, 1-April emo your working system when you turn in the report Demo your working system when you turn in the report HW #10 will be due next week (30-March) ( ) Quiz #3 will be 17-April (Friday) 3/24/2009 ECE-2025 Spring-09 jMc 2 convdemo cconvdemo ontinuous me convolution demo: Continuous-time convolution demo: Lecture 3/24/2009 ECE-2025 Spring-09 jMc 3 EADING ASSIGNMENTS READING ASSIGNMENTS This Lecture: Chapter 9, Sects. 9-6, 9-7, and 9-8 ther Reading: Other Reading: Recitation: Ch. 9, all ext Lecture: Start reading Chapter 10 Next Lecture: Start reading Chapter 10 3/24/2009 ECE-2025 Spring-04 jMc 4 ECTURE OBJECTIVES LECTURE OBJECTIVES eview of C LTI systems Review of C-T LTI systems Evaluating convolutions Examples Impulses p LTI Systems tability and causality Stability and causality Cascade and parallel connections 3/24/2009 ECE-2025 Spring-04 jMc 5 Linear and Time-Invariant TI) Systems (LTI) Systems If a continuous-time system is both linear and time-invariant, then the output y(t) is related to i t (t) l ti i t l l ti i t l the input x(t) by a convolution integral convolution integral = = ) ( ) ( ) ( ) ( ) ( t h t x d t h x t y where h(t) is the impulse response impulse response of the system....
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