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1 Preview and Introduction |
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1 | (22) |
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1 | (1) |
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1.2 Time-Value Definition of Signals: Analog and Digital |
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2 | (4) |
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1.2.1 Continuous Time Continuous Valued Signal |
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4 | (1) |
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1.2.2 Discrete Time Continuous Valued Signal |
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4 | (1) |
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1.2.3 Discrete Time Discrete Valued Signal |
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5 | (1) |
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6 | (2) |
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6 | (1) |
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6 | (1) |
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6 | (1) |
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7 | (1) |
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1.4 Delayed and Advanced Signal |
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8 | (1) |
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1.5 Even Signal and Odd Signal |
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8 | (3) |
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1.5.1 Even and Odd Components of a Signal |
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10 | (1) |
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11 | (7) |
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1.6.1 Transformed Domain Simplicity |
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15 | (1) |
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1.6.2 2D Convolution: Convolution in Image Processing |
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16 | (2) |
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18 | (5) |
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19 | (4) |
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Part I Continuous Wave Communication and Analog Signal Conditioning |
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23 | (28) |
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23 | (1) |
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2.2 Statement and Interpretation |
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24 | (2) |
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26 | (9) |
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2.3.1 Component of a Vector |
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26 | (2) |
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2.3.2 Component of a Signal |
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28 | (1) |
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2.3.3 Coefficients of Trigonometric Fourier Series |
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29 | (5) |
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2.3.4 Physical Existences of the Coefficients |
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34 | (1) |
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2.4 Even and Odd Symmetry |
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35 | (3) |
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2.5 Compact Fourier Series |
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38 | (3) |
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41 | (1) |
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2.7 Exponential Fourier Series |
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42 | (2) |
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2.8 Parseval's Theorem for Power |
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44 | (1) |
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2.9 Phase Congruency: Application of Fourier Series in 1D and 2D Signal Processing (Image Processing) |
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45 | (6) |
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50 | (1) |
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51 | (22) |
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51 | (1) |
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3.2 Mathematical Interpretation |
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52 | (3) |
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3.3 Significance of Oddness and Evenness in Complex Plane |
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55 | (2) |
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3.4 Cosine and Sine Transform |
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57 | (5) |
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3.4.1 Interpretation of the Formula |
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61 | (1) |
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3.5 Properties of Fourier Transform |
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62 | (11) |
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3.5.1 Time-Frequency Duality |
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63 | (1) |
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63 | (2) |
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3.5.3 Time Shifting Property |
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65 | (4) |
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3.5.4 Frequency Shifting Property |
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69 | (1) |
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3.5.5 Transformed Convolution Property |
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70 | (3) |
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3.6 System Realization: Ideal and Practical Filter |
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73 | (4) |
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73 | (1) |
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3.6.2 Causality of Ideal Filter |
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74 | (1) |
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3.7 Parseval's Theorem for Energy |
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75 | (2) |
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76 | (1) |
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77 | (38) |
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77 | (1) |
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4.2 Modulation and Its Measure: Global Definitions |
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78 | (2) |
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78 | (1) |
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79 | (1) |
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80 | (2) |
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4.4 Transmission Power and Transmission Efficiency |
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82 | (1) |
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4.5 Double Side Band Suppressed Carrier (DSB-SC) Modulation |
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83 | (2) |
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85 | (5) |
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4.6.1 Non-linear Amplifier |
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85 | (1) |
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86 | (2) |
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88 | (2) |
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4.6.4 Why "Balanced" Modulator? |
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90 | (1) |
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90 | (3) |
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93 | (2) |
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4.8.1 Observed Properties of AM |
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95 | (1) |
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95 | (3) |
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4.10 Quadrature Amplitude Modulation |
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98 | (2) |
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98 | (1) |
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99 | (1) |
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100 | (10) |
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4.11.1 Tuned Radio Frequency (TRF) Receiver |
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100 | (2) |
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4.11.2 Super Heterodyne Receiver |
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102 | (2) |
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4.11.3 Receiver Characteristics |
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104 | (2) |
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106 | (2) |
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108 | (2) |
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110 | (5) |
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110 | (1) |
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111 | (2) |
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113 | (1) |
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114 | (1) |
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5 Angle Modulation Technology |
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115 | (32) |
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115 | (1) |
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5.2 Concept of Instantaneous Frequency |
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115 | (1) |
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116 | (2) |
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5.4 FM and PM are Interchangeable |
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118 | (6) |
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119 | (2) |
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121 | (3) |
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5.5 Modulation Index for FM and PM |
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124 | (1) |
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125 | (3) |
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128 | (3) |
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5.7.1 Observed Properties of NBFM |
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130 | (1) |
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5.8 NBFM and NBPM Generation: Indirect Method |
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131 | (1) |
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5.9 Wide Band FM Generation: Indirect Method of Armstrong |
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132 | (1) |
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5.10 Direct Method of FM Generation: Using VCO |
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133 | (2) |
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5.11 Indirect Method of FM Demodulation |
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135 | (2) |
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135 | (1) |
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5.11.2 Dual Slope Detector |
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136 | (1) |
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137 | (4) |
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141 | (6) |
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5.13.1 Bessel Function of First Kind |
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141 | (1) |
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5.13.2 FM and PM Signal Generation |
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142 | (1) |
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143 | (4) |
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Part II Discrete Signal Conditioning: 1D & 2D |
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6 Discrete Time Transformations: DTFS and DTFT |
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147 | (12) |
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147 | (1) |
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147 | (5) |
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149 | (3) |
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152 | (1) |
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6.4 Discrete Time Fourier Series |
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153 | (2) |
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6.5 Discrete Time Fourier Transform |
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155 | (3) |
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158 | (1) |
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158 | (1) |
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158 | (1) |
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7 Discrete Fourier Transform |
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159 | (34) |
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159 | (1) |
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159 | (2) |
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161 | (8) |
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164 | (5) |
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169 | (7) |
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170 | (1) |
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170 | (1) |
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7.4.3 Circular Shift of a Sequence |
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170 | (3) |
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7.4.4 Time Reversal of a Sequence |
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173 | (1) |
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7.4.5 Circular Frequency Shift |
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174 | (1) |
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7.4.6 Complex Conjugate Property |
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174 | (1) |
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7.4.7 Circular Convolution |
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175 | (1) |
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7.4.8 Circular Correlation |
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175 | (1) |
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7.4.9 Multiplication Between Two Sequences |
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176 | (1) |
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7.4.10 Perseval's Theorem |
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176 | (1) |
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7.6 Two Dimensional (2D) DFT |
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176 | (8) |
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7.5.1 Physical Interpretation: 2D-FT |
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179 | (2) |
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7.5.2 Space-Frequency Expansion-Contraction in Image |
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181 | (3) |
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184 | (2) |
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7.6.1 Importance of Phase Over Amplitude in DFT Spectrum |
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184 | (1) |
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185 | (1) |
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7.7 Computational Complexity |
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186 | (2) |
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7.7.1 Considering Real and Complex Operations |
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187 | (1) |
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7.7.2 Considering Only Complex Operations |
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187 | (1) |
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188 | (5) |
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7.8.1 Concept of Frequency in Two Dimensional Signal (Image) |
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188 | (1) |
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7.8.2 Importance of Phase Over Amplitude in DFT Spectrum |
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189 | (1) |
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190 | (2) |
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192 | (1) |
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193 | (24) |
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193 | (1) |
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8.2 The FFT Algorithm: Radix 2---Decimation is Time |
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193 | (5) |
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195 | (2) |
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8.2.2 Steps of Doing Radix-2 DIT-FFT |
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197 | (1) |
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8.3 Decimation in Frequency FFT (DIF-FFT) Algorithm |
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198 | (5) |
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8.3.1 Steps of Doing Radix-2 DIF-FFT |
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199 | (4) |
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8.4 Computational Complexity |
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203 | (1) |
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8.4.1 Number of Complex Multiplication |
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203 | (1) |
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8.4.2 Number of Complex Addition |
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204 | (1) |
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204 | (4) |
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8.5.1 Concentric Circle Method |
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205 | (1) |
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8.5.2 Matrix Multiplication Method |
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205 | (3) |
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208 | (6) |
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208 | (5) |
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8.6.2 Multiplication Using FFT |
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213 | (1) |
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214 | (3) |
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214 | (1) |
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8.7.2 Multiplication Using FFT |
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215 | (1) |
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215 | (2) |
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217 | (26) |
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217 | (1) |
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9.2 Laplace Transform and S-Plane |
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217 | (3) |
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9.2.1 Stability Criteria S-Plane |
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219 | (1) |
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9.3 Algorithm of Z-Transform |
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220 | (3) |
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9.3.1 Physical Significance of Z-Transform |
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222 | (1) |
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9.3.2 Utility of Z-Transform |
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222 | (1) |
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9.4 Region of Convergence (RoC) and Its Properties |
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223 | (1) |
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9.5 RoC of Finite Duration Sequence |
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223 | (3) |
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223 | (1) |
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9.5.2 Anti-Causal Sequence |
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224 | (1) |
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9.5.3 Double Sided Sequence |
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225 | (1) |
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9.6 Properties of Z-Transform |
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226 | (6) |
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9.6.1 Intersection of RoC |
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226 | (1) |
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227 | (1) |
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9.6.3 Time Shift or Translation |
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228 | (1) |
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9.6.4 Multiplication by an Exponential Sequence |
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229 | (1) |
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230 | (1) |
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9.6.6 Differentiation of X(z) |
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231 | (1) |
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9.7 System Representation by Z-Transform |
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232 | (2) |
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9.7.1 Solution of Difference Equations Using Z-Transform |
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233 | (1) |
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234 | (1) |
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235 | (1) |
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235 | (1) |
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9.10 Bounded Input Bounded Output Stability |
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236 | (2) |
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9.11 Relationship Between S and Z-Plane |
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238 | (1) |
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239 | (4) |
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9.12.1 Long Division Method |
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239 | (2) |
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9.12.2 Convolution Method |
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241 | (1) |
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242 | (1) |
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10 Wavelets: Multi-Resolution Signal Processing |
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243 | (32) |
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243 | (1) |
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10.2 Short Time Fourier Transform |
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244 | (4) |
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10.2.1 Continuous-Time STFT |
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245 | (1) |
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10.2.2 Discrete-Time STFT |
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246 | (1) |
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247 | (1) |
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247 | (1) |
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10.3 Wavelet Function and Scaling Function |
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248 | (4) |
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252 | (2) |
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10.5 Discrete Wavelet Transform and Multi-Resolution Analysis |
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254 | (5) |
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10.5.1 Analysis Filter Bank |
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257 | (1) |
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10.5.2 Synthesis Filter Bank |
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258 | (1) |
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10.6 Image Decomposition Using DWT |
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259 | (3) |
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10.6.1 Concept of 2D Signal Decomposition Using Analysis Filter |
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259 | (1) |
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260 | (2) |
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10.7 Image Compression Using DWT: Embedded Zero-Tree Wavelet Encoding |
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262 | (7) |
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10.7.1 Relationship Between Decomposed Sub-Bands |
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263 | (1) |
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10.7.2 Successive Approximation Quantization in EZW |
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263 | (1) |
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10.7.3 EZW Encoding Algorithm |
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264 | (2) |
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10.7.4 Image Compression Using EZW: An Example |
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266 | (1) |
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10.7.5 Experimental Results of Image Compression Using EZW |
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267 | (2) |
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269 | (6) |
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10.8.1 Haar Scaling and Wavelet Function |
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269 | (1) |
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10.8.2 Wavelet Series Expansion |
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270 | (2) |
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10.8.3 Wavelet Decomposition of Image (4 level) |
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272 | (1) |
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10.8.4 Image Compression by EZW Encoding |
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272 | (2) |
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274 | (1) |
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11 Steganography: Secret Data Hiding in Multimedia |
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275 | (22) |
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275 | (1) |
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11.2 Steganography and Steganalysis |
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275 | (1) |
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11.3 Plaintext Steganography |
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276 | (4) |
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11.3.1 Patterned Position in a Sentence |
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277 | (1) |
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278 | (2) |
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11.4 Steganography on Images |
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280 | (6) |
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281 | (2) |
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11.4.2 DCT and DWT Based Steganography |
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283 | (2) |
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11.4.3 Palette Based Steganography and PoV |
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285 | (1) |
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11.5 Audio and Video Steganography |
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286 | (4) |
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287 | (1) |
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11.5.2 Spread Spectrum Technique |
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287 | (2) |
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289 | (1) |
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11.6 IP Datagram Steganography |
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290 | (2) |
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11.6.1 Covert Channel Communication Using `Flags' |
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291 | (1) |
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11.6.2 Covert Channel Communication Using `Identification' Field |
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292 | (1) |
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11.6.3 Covert Channel Communication Using ISN (Initial Sequence Number) Field |
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292 | (1) |
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11.7 Steganography Capacity: A Measure of Security |
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292 | (5) |
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295 | (2) |
Appendix: Frequently Used MATLAB Functions |
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297 | (12) |
Index |
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309 | |