Lecture 13 Discrete Time Processing of Continuous Time Signals

Lecture 13 Discrete Time Processing of Continuous Time Signals

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1 Lecture 13 – D/T Processing of C/T Signals ECSE304 Signals and Systems II ECSE 304 Signals and Systems II Lecture 13: Discrete-Time Processing of Continuous Time Signals Reading: O and W – Section 7.4 Boulet – Chapter 15 Richard Rose McGill University Dept. of Electrical and Computer Engineering 2 Lecture 13 – D/T Processing of C/T Signals ECSE304 Signals and Systems II Course Outline • Discrete-Time Fourier Series and DT Fourier Transform • The Z – Transform • Time and Frequency Analysis of DT Signals and Systems • Sampling Systems – Lecture 12: The Sampling Theorem Lecture 13: Discrete Time Processing of Continuous Time Signals – Lecture 14: Sampling of Discrete Time Signals • Application to Communications Systems • State Models of Continuous Time LTI Systems • Linear Feedback Systems

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3 Lecture 13 – D/T Processing of C/T Signals ECSE304 Signals and Systems II • Continuous-Time to Discrete Time (C/D) Conversion • Discrete-Time to Continuous Time (D/C) Conversion • A System for D-T Processing of C-T Signals • Example: Design of D-T System Outline 4 Lecture 13 – D/T Processing of C/T Signals ECSE304 Signals and Systems II • The sampling theorem allows us to make the connection between continuous and discrete time – Continuous-time to discrete-time (C/D) conversion – Discrete-time to continuous-time (D/C) conversion Discrete Time Processing of Continuous Time Signals [O and W, page 535] [] ( ) dc xn xn T = yn yn T =
5 Lecture 13 – D/T Processing of C/T Signals ECSE304 Signals and Systems II • The C/D operator can be thought of as an impulse train sampling followed by a conversion of the impulse areas to values of a discrete time signal: C/D Conversion [O and W, page 536] 6 Lecture 13 – D/T Processing of C/T Signals ECSE304 Signals and Systems II is a sequence of impulses with amplitude equal to and spacing equal to the sampling period T

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Lecture 13 Discrete Time Processing of Continuous Time Signals

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