Lecture 21- Review- Sampling and Communications

Lecture 21- Review- Sampling and Communications - Lecture...

Info iconThis preview shows pages 1–5. Sign up to view the full content.

View Full Document Right Arrow Icon
1 Lecture 20 Review - Sampling and Communications ECSE304 Signals and Systems II ECSE 304 Signals and Systems II Lecture 21: Review – Sampling and Communications Richard Rose McGill University Dept. of Electrical and Computer Engineering 2 Lecture 20 Review - Sampling and Communications ECSE304 Signals and Systems II • Sampling of C-T Signals – Impulse Train Sampling and the Sampling Theorem – Signal Reconstruction and Aliasing • D-T Processing of C-T Signals – C-T to D-T Conversion and D-T to C-T Conversion – System for D-T Processing of C-T Signals • Sampling of D-T Signals – Impulse Train Sampling of D-T Signals – D-T Decimation and Interpolation Topics - Sampling
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
3 Lecture 20 Review - Sampling and Communications ECSE304 Signals and Systems II • Amplitude Modulation and Demodulation – Synchronous Demodulation (DSB AM / SC) – Asynchronous Demodulation (DSB AM / WC) – Single Sideband (SSB) Modulation (SSB AM / SC) – Pulse Amplitude Modulation (PAM) • Time Division Multiplexing (TDM) • Frequency Division Multiplexing (FDM) • Angle Modulation – Phase Modulation – Frequency Modulation Topics - Communications 4 Lecture 20 Review - Sampling and Communications ECSE304 Signals and Systems II • Examination “Rules” – Closed-book – A one page (2-sided) handwritten crib sheet permitted – Faculty-approved calculators only • Provided with Exam: – Discrete-Time Fourier Series Properties – Discrete-Time Fourier Transform Properties – Discrete-Time Fourier Transform Pairs – Properties of the Unilateral Z-Transform – Z-transform properties – Z-transform pairs – List of trigonometric identities Midterm II
Background image of page 2
5 Lecture 20 Review - Sampling and Communications ECSE304 Signals and Systems II • State Space Models – Lecture 18 – State Equations for Electrical Systems – State Equations and Integrator Realizations – State Models and C-T LTI Systems – Transfer Functions and Canonical Forms Topics – State Space Analysis 6 Lecture 20 Review - Sampling and Communications ECSE304 Signals and Systems II Impulse train sampling: Representation of the sampling of continuous time signals: – Sampling function: – Sampling period: T – Fundamental frequency: The sampled signal in the time domain is given by: Impulse Train Sampling () ( ) n p tt n T δ +∞ =−∞ =− () () p xt x tp t = [O and W, page 516] xt xn T tn T p n ( ) ( ) =−∞ +∞ 2/ s T ω π =
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
7 Lecture 20 Review - Sampling and Communications ECSE304 Signals and Systems II • If , can be recovered exactly from • … using a lowpass filter with gain T and cutoff frequency: Impulse Train Sampling [O and W, page 517] 2 s M ω > 2 s M < 1 () ( ( ) ) P s k Xj X j k T ωω +∞ =−∞ =− 2 s M > x t p x t 2 ( ) s k Pj k T π δω +∞ =−∞ M csM ωωω <<− Band- limited to M 8 Lecture 20 Review - Sampling and Communications ECSE304 Signals and Systems II • The Sampling Theorem: Let be a band-limited signal with for then is uniquely determined by its samples if where • Reconstruction: Given the signal samples, we can recover the signal by filtering
Background image of page 4
Image of page 5
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 02/08/2012 for the course ECSE 304 taught by Professor Chenandbacsy during the Spring '11 term at McGill.

Page1 / 30

Lecture 21- Review- Sampling and Communications - Lecture...

This preview shows document pages 1 - 5. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online