Digital Signal Processing

What you’ll study

Introduction to digital signal processing (DSP) — sampling and analog-to-digital conversion, discrete-time signals and systems, the ambiguity in digital signals, application areas, and the key DSP operations of convolution, correlation, digital filtering, discrete transformation and modulation. The discrete Fourier transform — the Fourier series, one-dimensional Fourier transforms, the DFT and its properties, the Fast Fourier Transform (FFT) and the inverse DFT. The Z-transform — its general results, the inverse Z-transform (partial-fraction and power-series expansion, contour integration), its properties and the complex convolution theorem. The implementation of discrete-time systems — block diagrams and signal-flow graphs, and the basic structures of IIR and FIR systems. The design of digital filters — FIR and IIR filters, FIR design by windowing, optimum equiripple linear-phase FIR filters, classical IIR approximations, frequency transformations, and adaptive digital filters (the LMS and recursive least-squares algorithms).