This course provides a foundation for Digital Signal Processing (DSP) techniques for Xilinx FPGAs. The course begins with a refresher of basic binary number theory, mathematics, and the essential features within the FPGA that are important to signal processing. The body of the course explores a variety of filter techniques with emphasis on optimal implementation in Xilinx devices and continues with an examination of FFTs, video, and image processing. Throughout the course, Xilinx cores and IP relevant to signal processing are introduced. The course is complemented by hands-on exercises to reinforce the concepts learned.