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Practical Applications in Digital Signal Processing

Name: Practical Applications in Digital Signal Processing
Author: Richard Newbold
ISBN: 9780133038446

by Richard Newbold

October 2012

Intermediate to advanced

1152 pages

28h 19m

English

Pearson

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Title Page
Copyright Page
Dedication Page
Contents
Preface
The Purpose of This BookWho Should Read This BookHow This Book Is Organized
Acknowledgments
About the Author
Chapter One. Review of Digital Frequency
1.1. Definitions1.2. Defining Digital Frequencies1.3. Mathematical Representation of Digital Frequencies1.4. Normalized Frequency1.5. Representation of Digital Frequencies
Chapter Two. Review of Complex Variables
2.1. Cartesian Form of Complex Numbers2.2. Polar Form of Complex Numbers2.3. Roots of Complex Numbers2.4. Absolute Value of Complex Numbers2.5. Exponential Form of Complex Numbers2.6. Graphs of the Complex Variable z2.7. Limits2.8. Analytic Functions2.9. Singularity2.10. Entire Functions2.11. The Complex Number ∞2.12. Complex Differentiation2.13. Cauchy-Riemann Equations2.14. Simply Connected Region2.15. Contours2.16. Line Integrals2.17. Real Line Integrals2.18. Complex Line Integrals2.19. Cauchy’s Theorem2.20. Table of Common Integrals2.21. Cauchy’s Integral2.22. Residue Theory2.23. References
Chapter Three. Review of the Fourier Transform
3.1. A Brief Review of the Fourier Series3.2. A Brief Review of the Fourier Transform3.3. Review of the Discrete Fourier Transform (DFT)3.4. DFT Processing Gain3.5. Example DFT Signal Processing Application3.6. Discrete Time Fourier Transform (DTFT)3.7. Fast Fourier Transform (FFT)3.8. References

Chapter Four. Review of the Z-Transform
4.1. Complex Number Representation4.2. Mechanics of the Z-Transform4.3. Left-Sided Z-Transform4.4. Right-Sided Z-Transform4.5. Two-Sided Z-Transform4.6. Convergence of the Z-Transform4.7. System Stability4.8. Properties of the Z-Transform4.9. Common Z-Transform Pairs4.10. Inverse Z-Transform4.11. Pole and Zero Standard Form Plug-In Equations4.12. Applications of the Z-Transform4.13. Summary of Useful Equations4.14. References
Chapter Five. Finite Impulse Response Digital Filtering
5.1. Review of Digital FIR Filters5.2. Parks-McClellan Method of FIR Filter Design5.3. PM Implementation of Half Band Filters5.4. References
Chapter Six. Multirate Finite Impulse Response Filter Design
6.1. Poly Phase Filter (PPF)6.2. Half Band Filter6.3. Cascaded Integrator Comb (CIC) Filter6.4. References
Chapter Seven. Complex to Real Conversion
7.1. A Typical Digital Signal Processing (DSP) System7.2. Conversion of a Complex Signal to a Real Signal7.3. Complex to Real Simulation Results7.4. Reference
Chapter Eight. Digital Frequency Synthesis
8.1. Numerically Controlled Oscillator (NCO)8.2. Enhanced NCO Phase Accumulator8.3. NCO Synthesized Output Frequency Error8.4. Adding a Programmable Phase Offset to the NCO Output8.5. Design of an Industry-Grade NCO8.6. NCO Phase Dither8.7. References
Chapter Nine. Signal Tuning
9.1. Continuous Time (Analog) Fourier Transform9.2. Discrete Time (Digital) Fourier Transform9.3. Useful Equations9.4. References
Chapter Ten. Elastic Store Memory
10.1. Example Application of an Elastic Store Memory10.2. PCM Multiplexing Hierarchy10.3. DS-1C Multiplexer Design Overview10.4. Design of the Elastic Store Memory10.5. Hardware Implementation of the Elastic Store Memory10.6. Overall DS-1C Multiplexer Design Block Diagram10.7. Additional Information10.8. References
Chapter Eleven. Digital Data Locked Loops
11.1. Digital Data Locked Design11.2. Digital Data Locked Steady State Behavior11.3. Digital Data Locked Transient Behavior11.4. Data Locked Loop Bit-Level Simulation11.5. Engineering Note11.6. Summary of Useful Equations11.7. References
Chapter Twelve. Channelized Filter Bank
12.1. Introductory Description12.2. Channelizer Functional Overview12.3. Channelizer Detailed Design Concepts12.4. Channelizer Software Simulation Results12.5. Channelizer Hardware Design Example12.6. Summary of Useful Equations12.7. References
Chapter Thirteen. Digital Automatic Gain Control
13.1. Design of a Type I RMS AGC Circuit13.2. Design of a Type II RMS AGC Circuit13.3. References
Appendix A. Mixed Language C/C++ FORTRAN Programming
A.1. Writing a C/C++ Main ProgramA.2. Calling Subroutines and Functions From a C/C++ MainA.3. Writing a FORTRAN SubroutineA.4. Writing a FORTRAN FunctionA.5. Passing Integer ArgumentsA.6. Passing Floating Point ArgumentsA.7. Passing Array ArgumentsA.8. Passing Pointer ArgumentsA.9. Compile/Link Mixed Language C/C++ FORTRAN ProgramsA.10. Parks-McClellan FORTRAN Subroutine Called from C MainA.11. References
Index

Content preview from Practical Applications in Digital Signal Processing

Chapter Seven. Complex to Real Conversion

There are many instances where signal processing hardware and/or software operate on real signals. One example is passing a real digitized signal x_R(n) through a digital filter to shape the signal bandwidth. Another example is computing a histogram of a real discrete signal by collecting statistics on one or more of its parameters.

For the most part, when dealing with communication signals, it is either convenient or mandatory that a signal be processed in its complex form. That is, the signal x_R(n) is first converted from its real form to its complex form x_C(n) = a(n) + jb(n), where a(n) is the real part ...

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Practical Applications in Digital Signal Processing

by Richard Newbold

Chapter Seven. Complex to Real Conversion

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