Discrete time signals and systems, difference equations, state equations, discrete convolution, complex analysis, Z-transforms, inverse transforms, transfer functions, discrete-time Fourier transform, transform properties, sampling and aliasing, artefacts of block processing. Discrete Fourier transform signal processing including the FFT, frequency response estimation, interpolation, down sampling, convolution, block convolution, correlation, cepstrum. Digital FIR Filter Design including windowing. Digital IIR Filter Design, discrete-time approximation of analogue filters, Linear phase filters, filter structures and DSP hardware. Quadrature Mirror Filters, sub-band filtering, and the Wavelet transform.