Syllabus - Biomedical Signal Processing (BM703 (B))

Introduction to Signal Processing

Signals and systems, signal processing, concept of frequency in continuous time and discrete time signals, analog to digital and digital to analog conversion, sampling and reconstruction of signals.

Frequency Domain Analysis of Signals and Systems

Analysis of linear time invariant systems in the z-Domain, analysis and characterization of LTI systems using the Laplace transform, correlation functions and spectra at the output of LTI systems, linear time-invariant systems as Frequency-Selective filter, inverse systems and deconvolution, linear filtering methods based on the DFT, frequency analysis of signals using the DFT, discrete cosine transform.

Efficient Computation of the DFT: Fast Fourier Transform Algorithms

Fast Fourier transform, decimation in time FFT algorithms, decimation in frequency FFT algorithms, FFT algorithms for N composite number- Spectrum analysis of bio signals. Quantization effects in the computation of the DFT. Case study: frequency analysis of ECG signals.

Design of FIR Digital Filer

FIR digital filters realizations, direct, cascade, lattice forms, FIR filter design using Fourier series, use of window functions like rectangular, raised cosine, kaiser.

Design of IIR Digital Filer

IIR digital filters realizations, direct, cascade, parallel forms, analog filter approximations, and Butterworth and Chebyshev approximations, frequency transformation techniques. Case study: PCA and ICA for biomedical signal.