Review of Time domain analysis of discrete-time signals & systems, transform domain analysis of discrete time signals & systems: Z transforms, application of Z transforms to discrete-time systems, Frequency domain analysis of discretetime signals and systems, Sampling in time and frequency domain, linear convolution using DFT, Fast Fourier Transform algorithms. Orthogonal transforms - DCT and Haar transforms, Digital Filter Design: Filter Structures; FIR filter design, IIR Filter Design, Introduction to multirate Signal Processing, Upsampling, Downsampling, Sample rate conversion. Mathematical preliminaries for Lossless compression, Shannon's Source Coding Theorem Huffman coding, Arithmetic Coding, LZW coding. Mathematical preliminaries for lossy compression, quantization and the Lloyd-Max Algorithm, rate-distortion theory, Scalar and vector quantization, Transform coding, Subband coding. Time-varying signal processing, time-frequency distribution, short time Fourier transform. Time series models.