Foundations of Digital Signal Processing: Theory, algorithms and hardware design starts by introducing the mathematical foundations of DSP, assuming little prior knowledge of the subject from the reader, and moves on to discuss more complex topics such as Fourier, Laplace and digital filtering. It provides detailed information on off-line, real-time and DSP programming, and guides the reader through advanced topics such as DSP hardware design, FIR and IIR filter design and difference equation manipulation.