booklet format - inaf iasf bologna

More documents

Recommendations

Info

Temporal Data Analysis A.A. 2011/2012 f 0 = 0 f 1 = 1 f 2 = 0 f 3 = −1 We get, using (3.11) and W 4 = i F 0 = 0 (this is the average) F 1 = 1 4 (−i + (−1)(i )) = − i 2 F 2 = 1 (1(−1) + (−1)(−1)) = 0 4 F 3 = 1 4 ((1)(i ) + (−1)(−i )) = i 2 126 M.Orlandini
A.A. 2011/2012 Temporal Data Analysis Discrete Fourier Transform: Shifting Rules 3.2 Shifted cosine with N = 2 — Page 47 First, let us compute the DFT for the cosine function: {f k } = {0,1} or f k = 1 (1 − cosπk) k = 0,1 2 W 2 = e iπ = −1 F 0 = 1 2 (0 + 1) = 1 2 F 1 = 1 2 (0 + 1(−1)) = −1 2 {F j } = { 1 2 ,−1 2} Now we shift the input by n = 1: {f shifted k } = {1,0} or f k = 1 (1 + cosπk) k = 0,1 2 {F shifted j } = { 1 2 W 2 −1×0 , 1 } { 1 2 W 2 −1×1 = 2 , 1 2} 3.3 Modulated cosine with N = 2 — Page 48 We want to modulate the input with W −nk −k N , with n = 1. From its definition W2 = (−1) −k , therefore {f shifted k } = {0,−1} or f k = 1 (−1 + cosπk) k = 0,1 2 { {F shifted j } = {F j −1 } = − 1 2 , 1 } 2 M.Orlandini 127
Page 1 and 2:
Temporal Data Analysis: Theory and
Page 3 and 4:
Course Outline Table of Contents Li
Page 5 and 6:
A.A. 2011/2012 Temporal Data Analys
Page 7 and 8:
List of Figures 1.1 Classification
Page 9 and 10:
List of Definitions 2.1 Even and od
Page 11 and 12:
List of Theorems 2.1 Convolution th
Page 13:
Part I Theory 1
Page 16 and 17:
Temporal Data Analysis A.A. 2011/20
Page 18 and 19:
Page 20 and 21:
Page 22 and 23:
Page 24 and 25:
Page 26 and 27:
Page 28 and 29:
Page 30 and 31:
Page 32 and 33:
Page 34 and 35:
Page 36 and 37:
Page 38 and 39:
Page 40 and 41:
Page 42 and 43:
Page 44 and 45:
Page 46 and 47:
Page 48 and 49:
Page 50 and 51:
Page 52 and 53:
Page 54 and 55:
Page 56 and 57:
Page 58 and 59:
Page 60 and 61:
Page 62 and 63:
Page 64 and 65:
Page 66 and 67:
Page 68 and 69:
Page 70 and 71:
Page 72 and 73:
Page 74 and 75:
Page 76 and 77:
Page 78 and 79:
Page 80 and 81:
Page 83 and 84:
Chapter5 Procedures for Analyzing R
Page 85 and 86:
A.A. 2011/2012 Temporal Data Analys
Page 87 and 88: A.A. 2011/2012 Temporal Data Analys
Page 91 and 92: Chapter6 Temporal Analysis in X-ray
Page 121 and 122: Chapter7 Bibliography Reference Tex
Page 123 and 124: AppendixA Examples Shown at the Bla
Page 137: A.A. 2011/2012 Temporal Data Analys
Page 145 and 146: AppendixB Practical Session on Timi
Page 179: A.A. 2011/2012 Temporal Data Analys
show all

booklet format - inaf iasf bologna

You also want an ePaper? Increase the reach of your titles

Delete template?

Save as template?