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Course: ECE 493, Fall 2009
School: Saint Louis
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Saint Louis - ECE - 493
Saint Louis - ECE - 493
Saint Louis - ECE - 493
6 Questions on the Final 1st question is Concept Questions: from ~slide70-115 Error probability as relates to minimum distance Propagation phenomenology - qualitative discussion give explanations (3 propagation mechanisms and give situations where t
Saint Louis - ECE - 301
Fourier Transform TheoremsTheorem Name Signal{ .} X( f) Y(f) aX ( f ) + bY ( f ) X ( f )e j2ft 0x( t) y( t)1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. Linearity: Time Delay: Frequency Translation: Conjugation: Time Reversal: Time/Frequency Scal
Saint Louis - ECE - 301
Laplace Transform Theorems 1. Linearity: L { a 1 x 1 ( t ) + a 2 x 2 ( t ) } = a 1 X 1 ( s ) + a 2 X 2 ( s ) 2. Time Delay: L { x ( t t 0 )u ( t t 0 ) } = [ e t st 0]X ( s )3. Frequency Translation: L { x ( t )e } = X ( s + ) 4. Convolution:
Saint Louis - ECE - 301
Z-Transform TheoremsFor the following theorems, let Z { x [ n ] } = X ( z ) , Z { a [ n ] } = A ( z ) , and Z { b [ n ] } = B ( z ) 1. Linearity: 2. Time Delay: 3. Convolution: 4. Differentiation:Z { K a a [ n ] + K b b [ n ] } = K a A ( z ) + K b
Saint Louis - ECE - 301
Saint Louis - ECE - 301
Saint Louis - ECE - 301
Saint Louis - ECE - 301
Signals &amp; SystemsEENG301/BME310 Test I September 19, 2008Name: _ Instructions: 1) This exam is closed book, closed notes, and closed neighbor. You may bring in and use one note sheet, an 8.5 11 sheet of paper, with notes written on one side only.
Saint Louis - ECE - 301
Saint Louis - ECE - 301
Saint Louis - ECE - 301
Saint Louis - ECE - 301
Saint Louis - ECE - 301
Saint Louis - ECE - 301
Saint Louis - ECE - 301
Signals &amp; SystemsECE301/BME310 Test II October 17, 2008Name: _ Instructions: 1) This exam is closed book, closed notes, and closed neighbor. You may bring in and use one note sheet, an 8.5 11 sheet of paper, with notes written on one side only. 2
Saint Louis - ECE - 301
Saint Louis - ECE - 301
Saint Louis - ECE - 301
Signals &amp; SystemsECE301/BME310 Test III November 12, 2008Name: _ Instructions: 1) This exam is closed book, closed notes, and closed neighbor. You may bring in and use one note sheet, an 8.5 11 sheet of paper, with notes written on one side only.
Saint Louis - ECE - 301
Saint Louis - ECE - 301
Saint Louis - ECE - 301
Saint Louis - ECE - 301
Saint Louis - ECE - 210
Saint Louis - ECE - 210
Saint Louis - ECE - 210
Saint Louis - ECE - 210
Saint Louis - ECE - 210
Saint Louis - ECE - 210
Saint Louis - ECE - 210
Johns Hopkins - MATH - 443
LECTURE 11. CONVOLUTIONSFOURIER ANALYSIS (110.443) PROF. QIAO ZHANG1. Convolutions Let f (x) and g(x) be 2-periodic integrable functions, then the function (1.1) (f g)(x) = 1 2f (y)g(x - y) dy =-1 2f (x - y)g(y) dy-is called their co
Johns Hopkins - MATH - 443
LECTURE 12. GOOD KERNELSFOURIER ANALYSIS (110.443) PROF. QIAO ZHANG1. Good Kernels A sequence of 2-periodic integrable functions {K1 (x), K2 (x), . . . } is called a family of good kernels if (1) for every n 1 we have (1.1) 1 2 good kernelsK
Saint Louis - ECE - 210
Saint Louis - ECE - 210
- 46 -Mesh AnalysisIdentify all the circuit loops Assign an arbitrary mesh current variable to each Write KVL equations for each loop Solve the equations simultaneouslyFor example, find v 0 in the circuit shown below2 114V41v0Ebel
Saint Louis - ECE - 210
Saint Louis - ECE - 210
- 49 -Thevenin EquivalentsCut the circuit in half by cutting it at two points Find the open circuit voltage V oc Turn off the sources and find R eq Then model the circuit using a single voltage source &amp; one resistorProcedure41R eq14V
Saint Louis - ECE - 210
Johns Hopkins - MATH - 443
LECTURE 18. THE EQUIDISTRIBUTION PROBLEMFOURIER ANALYSIS (110.443) PROF. QIAO ZHANG1. Irrationals and Their Fractional Parts Let R, then (1.1) [] = max{n | n }, = [] [0, 1)integer part fractional partare called its integer part and fract
Johns Hopkins - MATH - 443
Saint Louis - ECE - 210
- 56 -The Ideal Operational Amplifier (Op-Amp)The Operational Amplifier (Op-Amp) is shown below+ v pp i+ Inputs i v pp v+ vOutputIdeal Characteristics are given by i+ = 0 v+ = vEbeli- = 0- 57 -Solution Method1. Express v + in terms of
Saint Louis - ECE - 210
Saint Louis - ECE - 210
Saint Louis - ECE - 210
- 61 -The Practical Op-AmpVp4 Ri A vp vnVnEbel- 62 -The InductorThe current voltage relationship is dV L t = L - i L t dtLEbel
Saint Louis - ECE - 210
Johns Hopkins - MATH - 443
Saint Louis - ECE - 210
Saint Louis - ECE - 210
Johns Hopkins - MATH - 443
Saint Louis - ECE - 210
Saint Louis - ECE - 210
Saint Louis - ECE - 210
Johns Hopkins - MATH - 443
Saint Louis - ECE - 210
Saint Louis - ECE - 210
Johns Hopkins - MATH - 443
Saint Louis - ECE - 210
Saint Louis - ECE - 210
Johns Hopkins - MATH - 443
LECTURE 35. THE FAST FOURIER TRANSFORMFOURIER ANALYSIS (110.443) PROF. QIAO ZHANGLet f be a function defined over Z/N Z. Assume that we have obtained the function values f (0), f (1), . . . , f (N - 1) and want to compute its Fourier transform, wh
Saint Louis - ECE - 301
3450 Lindell Blvd. St. Louis, MO 63103 Ph: 314-977-8232 Email: ebelwj@slu.edu William J. Ebel, Ph.D. Associate Professor ECE DepartmentSIGNALS &amp; SYSTEMSEENG301 and BME310 William J. Ebel, Ph.D. Associate Professor Electrical and Computer Engineeri
Saint Louis - ECE - 301
Signals &amp; SystemsEENG301/BME310 Name: Student #: Instructions: 1) This exam is closed book, closed notes, and closed neighbor. You may bring in and use one note sheet, an 8.5 11 sheet of paper, with notes written on one side only. 2) There are 9 pa