Digital Signal Processing Solutions

Fixed-Point Arithmetic and Algorithms

• Fixed-Point Arithmetic - An Introduction (Adobe Acrobat/PDF)
  • Describes standard fixed-point binary number representations, provides rules of fixed-point arithmetic for common operations such as multiplication, defines concepts such as precision and range, and provides an example of the analysis of a fixed-point algorithm.
  • Author: Charles R. Yates
  • Context: Web Resource.
• Practical Considerations in Fixed-Point FIR implementations (Adobe Acrobat/PDF)
  • Discusses issues such as conversion of "real" coefficients into fixed-point representations and techniques for requantizing filter outputs.
  • Author: Charles R. Yates
  • Context: Web Resource.

Quantization

• Christopher Hicks' excellent introductory article on noise-shaping (Postscript)
• "The Theory Of Dithered Quantization," Ph.D. thesis of Robert Wannamaker (Adobe Acrobat/PDF)
• "Principles of Sigma Delta Modulation for Analog-To-Digital Converters", a Motorola application note by Sangil Park, Ph.D. (Adobe Acrobat/PDF)

Coding Theory

• A Nordstrom-Robinson Error Correction Decoder (Postscript)
  • Describes a hardware (FPGA) implementation of a code used in communication systems to reduce probability of transmission errors.
  • Authors: Charles R. Yates and Eric Sowers
  • Context: IEEE SECON 1996 (Tampa, FL).
• Coding Theory and its Applications (Zipped Postscript)
  • A very elementary introduction to coding theory. Introduces Shannon's Noisy Coding Theorem, discrete memoryless channels, linear codes, block codes, Galois Fields.
  • Author: Charles R. Yates
  • Context: Small research project required for mathematics degree

Digital Communications

• An introduction to Orthogonal Frequency Division Multiplexing (OFDM), Ove Edfors et. al. (Adobe Acrobat/PDF)
• "MSK and its Application to Wireless Data Transmission," MX-COM Application Note (Adobe Acrobat/PDF)

Analog Communications Using DSP

• "FM Demodulation Using A Digital Radio and Digital Signal Processing," James Michael Shima, Masters Thesis, University of Florida (Adobe Acrobat/PDF)

Perceptual Coding

• AES Article on Minidisk's ATRAC (Adaptive Transform Acoustic Coding)