Course Content:
Introduction to digital signal processing (DSP): discrete-time signals and systems, analog to digital conversion, impulse response, finite impulse response (FIR) and infinite impulse response (IIR) of discrete-time systems. Correlation: convolution, circular convolution, auto-correlation and cross correlation. Discrete transformations: discrete Fourier series, discrete-time Fourier series, discrete Fourier transform (DFT) and properties, fast Fourier transform (FFT), inverse fast Fourier transform. Z transformation: Properties, transfer function, poles and zeros and inverse Z transform. Digital Filters: FIR filters- linear phase filters, specifications, design using window, optimal and frequency sampling methods, design using impulse invariant, least-square methods and finite precision effects. Introduction to Image processing: Image Overview In digital domain (how image is formed and viewed using Pixels), Color Image Fundamentals (CIF), elements of visual perception (namely: Brightness, Contrast, Hue, and Saturation). Filtering in Frequency Domain: Frequency domain filtering, Fourier Transforms, Discrete Cosine Transform. Filtering in Spatial Domain: Correlation and convolution, Histogram, Matrix transformation, Gaussian or Smoothing filters, Laplacian filter.