With Digital Signal Processing, you can manipulate signals after they have been converted from analog voltages and currents into digital form -- i.e., as numbers.  Normal analog operations of filtering, mixing, and signal detection all have their parallels in the DSP world.  Because the cost of complex digital processing is very low, DSP is often the preferred way to build high-performance communications systems.

• Signals, Samples and Stuff: A DSP Tutorial - Part 1
  QEX, March 1998, pp. 3-16
  What's DSP all about?
• Signals, Samples and Stuff: A DSP Tutorial - Part 2
  QEX, May 1998, pp. 22-37
  Let's look inside an IF-DSP transceiver.
• Signals, Samples and Stuff: A DSP Tutorial - Part 3
  QEX, July 1998, pp. 13-27
  Advances DSP techniques.
• Signals, Samples and Stuff: A DSP Tutorial - Part 4
  QEX, September 1998, pp. 19-29
  Conclusion.
• Digital Signal Processing for the Experimenter
  QST November 1984, pp22-27
  Flash - A/D-igital data stream replaces an analog signal. DAC puts it back again!
• An Introduction to Digital Signal Processing
  QST July 1991, pp35-37
  DSP makes headlines even in an age where digital seems to be applied to just about everything electronic - and now it's part of Amateur Radio.
• The DSP-10: An All-Mode 2-Meter Transceiver Using a DSP IF and PC-Controlled Front Panel -- Part 1
  QST September 1999, pp. 33-41
  What's neat about this 2-meter transceiver is that most of it is in software! Your PC is its front panel.
• The DSP-10: An All-Mode 2-Meter Transceiver Using a DSP IF and PC-Controlled Front Panel -- Part 2
  QST October 1999, pp. 34-40
  With most of the radio in software, the mechanical construction of the radio is much easier to handle.
• The DSP-10: An All-Mode 2-Meter Transceiver Using a DSP IF and PC-Controlled Front Panel -- Part 3
  QST November 1999, pp. 42-45
  This is it! It's about time to put your new transceiver on the air.
  Notes: additional Web link
• An 8-Watt, 2-Meter "Brickette"
  QST June 2000, pp. 43-47
  Put 20 mW into this amplifier and get 26-dB increase in power. (can be companion to the DSP-10)

•  "The Scientist & Engineer's Guide to Digital Signal Processing", by Steven W. Smith. Download individual chapters or the entire book absolutely free!
• FAQs (Frequently asked questions with answers) on Digital Signal Processing
  The world-wide web version of the comp.dsp FAQ is maintained and sponsored by Berkeley Design Technology, Inc.
• Digital Signal Processing - (TAPR)
  Have you noticed how everything is becoming digital these days -- DSP filters, DSP modems, DSP transcievers and more -- and for good reason.
• SM 5 BSZ - DSP radio for LINUX on Intel platformsLeif Åsbrink, SM5BSZ describes a Linux dsp radio in weak signal CW mode
• ChromaSound
  Audio DSP system computer program
  
• Introduction to DSP
  The BORES Signal Processing DSP course - Introduction to DSP - is free of charge on line.
• DSPRelated is home to several discussion groups related to DSP, a blogs section with many bloggers including Rick Lyons, author of the "Understanding Digital Signal Processing" book.