system-intro - SYSC-3500: Signals and Systems Introduction...

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1 SYSC-3500: Signals and Systems Introduction to Systems
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2 Continuous and Discrete Time Systems A system is a process in which input signals are transformed by the system CT System DT System x(t) y(t) x[n] y(t) x(t) y(t) X[n] y[n]
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3 Examples of Systems RC Circuit i(t) i C i R x(t) y(t) ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 t x t y R dt t dy C R t y t i dt t dy C dt t dv C t i t v t y R C c C = + = = = = 1 N-point Moving Average Filter [ ] [ ] [ ] [ ] [ ] [ ] 1 ... 1 1 1 + - + + - + - + = N n x n x n x n x N n y
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4 Interconnection of Systems System 1 System 2 Series System 1 System 2 + Parallel System 1 System 2 System 3 + System 4 Series-Parallel
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5 Feedback System System 1 System 2 + Input Output Example i(t) i 2 i 1 + i(t) v(t) ( 29 ( 29 = t d i c t v 0 1 1 τ ( 29 ( 29 R t v t i = 2 i 2 (t) + -
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6 Basic System Properties System without Memory A system is memoryless if the output at any time t depends only on the value of the input at that time v(t)
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This note was uploaded on 11/03/2009 for the course SCE sysc3500 taught by Professor Ian during the Spring '09 term at Carleton CA.

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system-intro - SYSC-3500: Signals and Systems Introduction...

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