Linear System Analysis II
Linear System Analysis II ECE 312
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This 1 page Class Notes was uploaded by Sarina Wintheiser on Tuesday September 22, 2015. The Class Notes belongs to ECE 312 at Colorado State University taught by Staff in Fall. Since its upload, it has received 23 views. For similar materials see /class/210297/ece-312-colorado-state-university in ELECTRICAL AND COMPUTER ENGINEERING at Colorado State University.
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Date Created: 09/22/15
ECE 312 Linear Systems IN Time and Frequencv ECE 311 a Understands linearity causality stability and time invariance Understands interplay between time and frequency domain analysis ofLTI systems Impulse response and convolution I Complex frequency response and sinusoidal resp onse Bandwidth and time constant ODEs and Transfer Functions ECE 311 Understands connection between transfer functions poles and zeroes impulse response complex frequency response and D Block Diagrams ECE 311 V Can determine transfer function ofa system built of other interconnected linear systems Fourier Analvsis ECE 311 V an analyze spectral components of inputs and outpum of systems Can compute transforms and series for standard signals Simulation ECE 311 V Can analyze systems in time and frequency domain using MATLAB andor Simulink tools Prereguisites 15015311 Optional As of 12908 Concepts Laplace transform and its use in analyzing continuoustime LTI systems Discrete time test signals including impulses steps exponentials and sinusoids Properties of LTI systems causality stability time invariance etc Representation of discrete LTI systems in terms of difference equations convolution sum and system response De nition and use of Ztransform for discrete time signals and systems and its connection with Connection between transfer mctions poles and zeros units pulse response complex frequency response ordinary difference equations an solutions Introduction to FIR and IIR digital lter design De nition and use of Discrete Fourier Transform Sampling and aliasing 0 Sampling theorems in time and frequency 0 Nyquist band Computation of energypower spectral density Correlation Applications Communications Filtering and signal processing Computer based control systems Image processing Tools MATLAB OUT ODE and Transfer Functions 5 From an ordinary difference equation for an LTI dis ete time system can compute o Transfer function Poles and zeroes Complex frequency response 0 Unit pulse response Understands connection between ODE transfer function unit pulse response and complex frequency response Sampling and Aliasing 1 3 Understands time and frequency domain samp ing Can specify antialiasing lter and sampling rate for alias free AD conversion Understands the Nyquist band ZTransform and DTFT r Can compute Z and inverse Z trans orms Can use ZTransform to analyze discretetime systems Can use Z transform to solve ordinary difference equations Can compute and interpret discretetime Fourier transforrn DTFT Digital Filters a Can design simple digital lters to meet speci cations DFT and FFT a Can use Discrete Fourier Transform to analyze fr analyze frequency response of systems Understands subsampling theorem in time and frequency Understands Fast Fourier Transform and is practical applications in discrete time ltering and signal process ing Understands connection between DFT producm and circular convolutions ODE and Programmed Logic a Can write assembly code for a programmable DSP from an ordinary difference equation