book

Digital Signal Processing 101, 2nd Edition

by Michael Parker

June 2017

Beginner to intermediate

432 pages

12h 25m

English

Newnes

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1.1. Integer Fixed Point Representation1.2. Fractional Fixed Point Representation1.3. Floating Point Representation
2.1. Complex Addition and Subtraction2.2. Complex Multiplication2.3. Polar Representation2.4. Complex Multiplication Using Polar Representation2.5. Complex Conjugate2.6. The Complex Exponential2.7. Measuring Angles in Radians
3.1. Sampling Effects3.2. Nyquist Sampling Rule3.3. Quantization3.4. Signal to Noise Ratio
4.1. Frequency Response and the Complex Exponential4.2. Normalizing Frequency Response4.3. Sweeping Across the Frequency Response4.4. Example Frequency Responses4.5. Linear Phase Response4.6. Normalized Frequency Response Plots

5.1. Finite Impulse Response Filter Construction5.2. Computing Frequency Response5.3. Computing Filter Coefficients5.4. Effect of Number of Taps on Filter Response
6.1. Truncation of Coefficients6.2. Tapering of Coefficients6.3. Sample Coefficient Windows
7.1. Decimation7.2. Interpolation7.3. Resampling by Noninteger Value
8.1. Infinite Impulse Response and Finite Impulse Response Filter Characteristic Comparison8.2. Bilinear Transform8.3. Frequency Prewarping
9.1. Modulation Constellations9.2. Modulated Signal Bandwidth9.3. Pulse-Shaping Filter9.4. Raised Cosine Filter
10.1. Discrete Fourier Transform and Inverse Discrete Fourier Transform Equations10.2. First Discrete Fourier Transform Example10.3. Second Discrete Fourier Transform Example10.4. Third Discrete Fourier Transform Example10.5. Fourth Discrete Fourier Transform Example10.6. Fast Fourier Transform10.7. Filtering Using the Fast Fourier Transform and Inverse Fast Fourier Transform10.8. Bit Growth in Fast Fourier Transforms10.9. Bit Reversal Addressing
11.1. Digital Upconversion11.2. Digital Downconversion11.3. Intermediate Frequency Subsampling
12.1. Linear Block Encoding12.2. Linear Block Decoding12.3. Minimum Coding Distance12.4. Convolutional Encoding12.5. Viterbi Decoding12.6. Soft Decision Decoding12.7. Cyclic Redundancy Check12.8. Shannon Capacity and Limit Theorems
13.1. Matrix Basics13.2. Cholesky Decomposition13.3. 4×4 Cholesky Example13.4. QR Decomposition13.5. Gram–Schmidt Method13.6. QR Decomposition Restructuring for Parallel Implementation
14.1. Magnetism Basics14.2. AC Motor Basics14.3. DC Motor Basics14.4. Electronic Commutation14.5. AC Induction Motor14.6. Motor Control14.7. Park and Clark Transforms
15.1. Early Digital Innovations15.2. Frequency Modulation15.3. Digital Signal Processor15.4. Digital Voice Phone Systems15.5. Time Division Multiple Access Modulation and Demodulation
16.1. Spread Spectrum Technology16.2. Direct Sequence Spread Spectrum16.3. Walsh Codes16.4. Concept of Code Division Multiple Access16.5. Walsh Code Demodulation16.6. Network Synchronization16.7. RAKE Receiver16.8. Pilot Pseudorandom Number Codes16.9. Code Division Multiple Access Transmit Architecture16.10. Variable Rate Vocoder16.11. Soft Handoff16.12. Uplink Modulation16.13. Power Control16.14. Higher Data Rates16.15. Spectral Efficiency Considerations16.16. Other Code Division Multiple Access Technologies
17.1. WiMax and Long-Term Evolution17.2. Orthogonal Frequency Division Multiple Access Advantages17.3. Orthogonality of Periodic Signals17.4. Frequency Spectrum of Orthogonal Subcarrier17.5. Orthogonal Frequency Division Multiplexing Modulation17.6. Intersymbol Interference and the Cyclic Prefix17.7. Multiple Input and Multiple Output Equalization17.8. Orthogonal Frequency Division Multiple Access System Considerations17.9. Orthogonal Frequency Division Multiple Access Spectral Efficiency17.10. Orthogonal Frequency Division Multiple Access Doppler Frequency Shift17.11. Peak to Average Ratio17.12. Crest Factor Reduction17.13. Digital Predistortion17.14. Remote Radio Head
18.1. Radar Frequency Bands18.2. Radar Antennas18.3. Radar Range Equation18.4. Stealth Aircraft18.5. Pulsed Radar Operation18.6. Pulse Compression18.7. Pulse Repetition Frequency18.8. Detection Processing
19.1. Doppler Effect19.2. Pulsed Frequency Spectrum19.3. Doppler Ambiguities19.4. Radar Clutter19.5. Pulse Repetition Frequency Trade-Offs19.6. Target Tracking
20.1. Frequency-Modulated Continuous-Wave Theory20.2. Frequency-Modulated Continuous-Wave Range Detection20.3. Frequency-Modulated Continuous-Wave Doppler Detection20.4. Frequency-Modulated Continuous-Wave Radar Link Budget20.5. Frequency-Modulated Continuous-Wave Implementation Considerations20.6. Frequency-Modulated Continuous-Wave Interference20.7. Frequency-Modulated Continuous-Wave Beamforming20.8. Frequency-Modulated Continuous-Wave Range-Doppler Processing20.9. Frequency-Modulated Continuous-Wave Radar Front-End Processing20.10. Frequency-Modulated Continuous-Wave Pulse-Doppler Processing20.11. Frequency-Modulated Continuous-Wave Radar Back-End Processing20.12. Noncoherent Antenna Magnitude Summation20.13. Cell Averaging–Constant False Alarm Rate20.14. Ordered Sort–Constant False Alarm Rate20.15. Angle of Arrival Estimation
21.1. Space Time Adaptive Processing Radar Concept21.2. Steering Vector21.3. Interference Covariance Matrix21.4. Space Time Adaptive Processing Optimal Filter21.5. Space Time Adaptive Processing Radar Computational Requirements
22.1. Introduction22.2. Synthetic Array Radar Resolution22.3. Pulse Compression22.4. Azimuth Resolution22.5. Synthetic Array Radar Processing22.6. Synthetic Array Radar Doppler Processing22.7. Synthetic Array Radar Impairments
23.1. Color Spaces23.2. Interlacing23.3. Deinterlacing23.4. Image Resolution and Bandwidth23.5. Chroma Scaling23.6. Image Scaling and Cropping23.7. Alpha Blending and Compositing23.8. Video Compression23.9. Digital Video Interfaces23.10. Legacy Analog Video Interfaces
24.1. Discrete Cosine Transform24.2. Entropy24.3. Huffman Coding24.4. Markov Source24.5. Predictive Coding24.6. Differential Encoding24.7. Lossless Compression24.8. Quantization24.9. Decibels
25.1. Baseline JPEG25.2. DC Scaling25.3. Quantization Tables25.4. Entropy Coding25.5. JPEG Extensions25.6. Video Compression Basics25.7. Block Size25.8. Motion Estimation25.9. Frame Processing Order25.10. Compressing I Frames25.11. Compressing P Frames25.12. Compressing B Frames25.13. Rate Control and Buffering25.14. Quantization Scale Factor
26.1. Convolutional Neural Networks26.2. Convolution Layer26.3. Rectified Linear Unit Layer26.4. Normalization Layer26.5. Max-Pooling Layer26.6. Fully Connected Layer26.7. Training Computational Neural Networks26.8. Winograd Transform26.9. Convolutional Neural Network Numerical Precision Requirements
27.1. Digital Signal Processing Processor Architectural Enhancements27.2. Scalability27.3. Floating Point27.4. Design Methodology27.5. Managing Resources27.6. Ecosystem
28.1. FPGA Design Methodology28.2. DSP Processor or FPGA Choice28.3. Design Methodology Considerations28.4. Dedicated Digital Signal Processing Circuit Blocks in FPGAs28.5. Floating Point Implementation Using FPGAs28.6. Ecosystem28.7. Future Trends
29.1. Characteristics of Graphics Processing Unit Architecture29.2. Graphics Processing Unit Programming Environment29.3. Memory Hierarchy29.4. Interfaces29.5. Numerical Precision29.6. Future Trends

Content preview from Digital Signal Processing 101, 2nd Edition

Appendix B

Evaluation of Finite Impulse Response Design Error Minimization

We are minimizing the following expression

$Error = ξ = \int_{- π}^{π} {| ξ (ω) |}^{2} d ω$

where,

ξ (ω) = D (ω) - H (ω)

D (ω) = desired frequency response

H (ω) = \sum_{i = - \infty to \infty} C_{i} e^{- j ω i} = actual frequency response

We start by setting the derivative of the error ξ with respect to the filter coefficients (the one parameter that we have control ...

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Publisher Resources

ISBN: 9780128114544