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1 Sampling of Continuous Time Signals |
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1 | (70) |
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1.1 Sampling Operation for Continuous Time Signals |
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2 | (4) |
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4 | (1) |
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1.1.2 Mathematical Characterization of the Sampling Operation |
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5 | (1) |
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6 | (5) |
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1.2.1 The Fourier Transform of the Product Signal |
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7 | (4) |
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1.3 How to Draw Fourier Transforms of Product Signal and Digital Signal |
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11 | (19) |
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1.3.1 Drawing the Fourier Transform of Digital Signal |
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25 | (5) |
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1.4 Aliasing (Spectral Overlapping) |
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30 | (15) |
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1.4.1 The Meaning of the Aliasing (Overlapping) |
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33 | (6) |
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1.4.2 Drawing the Frequency Response of Digital Signal in Case of Aliasing (Practical Method) |
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39 | (6) |
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1.5 Reconstruction of an Analog Signal from Its Samples |
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45 | (10) |
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1.5.1 Approximation of the Reconstruction Filter |
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51 | (4) |
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1.6 Discrete Time Processing of Continuous Time Signals |
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55 | (6) |
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1.7 Continuous Time Processing of Digital Signals |
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61 | (7) |
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68 | (3) |
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2 Multirate Signal Processing |
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71 | (74) |
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2.1 Sampling Rate Reduction by an Integer Factor (Downsampling, Compression) |
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72 | (25) |
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2.1.1 Fourier Transform of the Downsampled Signal |
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75 | (3) |
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2.1.2 How to Draw the Frequency Response of Downsampled Signal |
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78 | (2) |
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2.1.3 Aliasing in Downsampling |
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80 | (3) |
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2.1.4 Interpretation of the Downsampling in Terms of the Sampling Period |
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83 | (9) |
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2.1.5 Drawing the Fourier Transform of Downsampled Signal in Case of Aliasing (Practical Method) |
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92 | (5) |
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2.2 Upsampling: Increasing the Sampling Rate by an Integer Factor |
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97 | (31) |
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2.2.1 Upsampling (Expansion) |
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97 | (1) |
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2.2.2 Mathematical Formulization of Upsampling |
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98 | (1) |
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2.2.3 Frequency Domain Analysis of Upsampling |
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99 | (4) |
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103 | (4) |
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2.2.5 Mathematical Analysis of Interpolation |
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107 | (4) |
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2.2.6 Approximation of the Ideal Interpolation Filter |
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111 | (15) |
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2.2.7 Anti-aliasing Filter |
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126 | (2) |
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2.3 Practical Implementations of C/D and D/C Converters |
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128 | (11) |
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129 | (1) |
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130 | (4) |
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2.3.3 Quantization and Coding |
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134 | (2) |
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136 | (3) |
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139 | (6) |
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3 Discrete Fourier Transform |
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145 | (88) |
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3.1 Manipulation of Digital Signals |
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146 | (12) |
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3.1.1 Manipulation of Periodic Digital Signals |
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149 | (1) |
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3.1.2 Shifting of Periodic Digital Signals |
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149 | (7) |
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3.1.3 Some Well Known Digital Signals |
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156 | (2) |
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3.2 Review of Signal Types |
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158 | (7) |
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3.3 Convolution of Periodic Digital Signals |
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165 | (5) |
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3.3.1 Alternative Method to Compute the Periodic Convolution |
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166 | (4) |
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3.4 Sampling of Fourier Transform |
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170 | (2) |
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3.5 Discrete Fourier Transform |
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172 | (26) |
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3.5.1 Aliasing in Time Domain |
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182 | (2) |
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3.5.2 Matrix Representation of DFT and Inverse DFT |
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184 | (1) |
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3.5.3 Properties of the Discrete Fourier Transform |
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185 | (3) |
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3.5.4 Circular Convolution |
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188 | (10) |
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3.6 Practical Calculation of the Linear Convolution |
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198 | (9) |
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3.6.1 Evaluation of Convolution Using Overlap-Add Method |
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199 | (5) |
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3.6.2 Overlap-Save Method |
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204 | (3) |
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3.7 Computation of the Discrete Fourier Transform |
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207 | (18) |
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3.7.1 Fast Fourier Transform (FFT) Algorithms |
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207 | (1) |
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3.7.2 Decimation in Time FFT Algorithm |
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207 | (10) |
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3.7.3 Decimation in Frequency FFT Algorithm |
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217 | (8) |
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3.8 Total Computation Amount of the FFT Algorithm |
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225 | (5) |
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230 | (3) |
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4 Analog and Digital Filter Design |
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233 | (66) |
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233 | (7) |
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236 | (3) |
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239 | (1) |
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4.2 Transformation Between Continuous and Discrete Time Systems |
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240 | (13) |
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4.2.1 Conversion of Transfer Functions of LTI Systems |
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245 | (1) |
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4.2.2 Forward Difference Transformation Method |
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246 | (2) |
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4.2.3 Bilinear Transformation |
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248 | (5) |
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4.3 Analogue Filter Design |
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253 | (20) |
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254 | (4) |
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4.3.2 Practical Analog Filter Design |
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258 | (2) |
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4.3.3 Practical Filter Design Methods |
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260 | (12) |
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4.3.4 Analog Frequency Transformations |
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272 | (1) |
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4.4 Implementation of Analog Filters |
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273 | (10) |
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4.4.1 Low Pass Filter Circuits |
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273 | (6) |
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4.4.2 Analog High-Pass Filter Circuit Design |
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279 | (3) |
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4.4.3 Analog Bandpass Active Filter Circuits |
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282 | (1) |
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4.4.4 Analog Bandstop Active Filter Circuits |
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282 | (1) |
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4.5 Infinite Impulse Response (IIR) Digital Filter Design (Low Pass) |
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283 | (7) |
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4.5.1 Generalized Linear Phase Systems |
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289 | (1) |
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4.6 Finite Impulse Response (FIR) Digital Filter Design |
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290 | (7) |
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4.6.1 FIR Filter Design Techniques |
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291 | (6) |
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297 | (2) |
Bibliography |
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299 | (2) |
Index |
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301 | |