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C Language Algorithms for Digital Signal Processing

Paul Embree 1991

This book explains how to write C programs that manipulate digital signal processors (DSPs). The availability of faster signal processing components can be programmed to perform a wide variety of functions with the handbook's advice. It offers step-by-step techniques covering: filtering routines, user interfaces and storage, discrete Fourier transforms, matrix and vector analysis, and more.


Why Read This Book

You should read this book if you need concrete, working C code that implements common DSP algorithms and shows how to move from math to runnable embedded programs. It gives step‑by‑step examples — filtering, DFT/FFT, matrix/vector routines and simple real‑time I/O patterns — so you can adapt the code to your DSP or microcontroller.

Who Will Benefit

Practicing engineers and firmware developers with basic DSP background who need to implement and prototype DSP algorithms in C for embedded or real‑time systems.

Level: Intermediate — Prerequisites: Familiarity with C programming and basic DSP concepts (convolution, FIR/IIR filters, sampling, DFT/FFT). Some exposure to fixed‑point arithmetic and embedded toolchains is helpful.

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Key Takeaways

  • Implement common filtering routines (FIR and basic IIR) in portable C
  • Implement discrete Fourier transform algorithms and understand practical FFT coding issues
  • Translate matrix and vector signal‑processing operations into efficient C code
  • Manage data storage, buffers, and simple user I/O for real‑time DSP applications
  • Apply numerical scaling and basic fixed‑point techniques to avoid overflow and preserve dynamic range

Topics Covered

  1. Introduction: C for Digital Signal Processing
  2. Number Formats and Numerical Issues (fixed vs floating, scaling)
  3. Basic Building Blocks: Convolution and Sample Operations
  4. FIR Filter Algorithms and Implementations
  5. IIR Filters and Practical Considerations
  6. Discrete Fourier Transform and FFT Implementations
  7. Matrix and Vector Operations for DSP
  8. Data Storage, Buffers and Memory Organization
  9. User Interfaces and Simple I/O Routines
  10. Real‑Time Considerations and Performance Tips
  11. Example Applications and Case Studies
  12. Appendices: C Code Listings and Utilities

Languages, Platforms & Tools

CGeneric DSPsEmbedded microcontrollers16/32‑bit processors (portable C)ANSI C compilers / cross‑compilersLinkers and assemblers (general embedded toolchain)Basic fixed‑point support libraries (conceptual)

How It Compares

More of a hands‑on C cookbook compared with Steven W. Smith's practical DSP guide (which is broader and tutorial); unlike Oppenheim & Schafer, Embree focuses on code and implementation rather than deep theory.

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