BM3401 Signal Processing Syllabus:
BM3401 Signal Processing Syllabus – Anna University Regulation 2021
COURSE OBJECTIVES:
To understand about the continuous time and discrete time signals and systems.
To learn the analysis of LTI systems using Laplace and Z transform.
To represent the signal in frequency domain using FFT.
To gain knowledge about the design of IIR and FIR filters.
UNIT I FUNDAMENTALS OF SIGNALS AND SYSTEMS
Classification of systems: Continuous, discrete, linear, causal, stability, dynamic, recursive, time variance; classification of signals: continuous and discrete, energy and power; mathematical representation of signals; spectral density; sampling techniques, quantization, quantization error, Nyquist rate, aliasing effect.
UNIT II ANALYSIS OF LTI SYSTEMS
Fourier Series – Fourier Transform and Properties, Analysis of Continuous Time LTI Systems – Z Transform – Properties of ROC– Inverse Z Transform – DTFT – Analysis of Discrete Time LTI Systems
UNIT III DISCRETE FOURIER TRANSFORM
DFT and its properties, magnitude and phase representation-Linear Convolution- Correlation Circular Convolution, Overlap-add and overlap-save methods. FFT – Decimation in Time Algorithm, Decimation in Frequency Algorithm. Use of FFT in Linear Filtering.
UNIT IV INFINITE IMPULSE RESPONSE FILTERS
Analog filters – Butterworth filters, Chebyshev Type I filters (upto 3rd order), Analog Transformation of prototype LPF to BPF /BSF/ HPF. Transformation of analog filters into equivalent digital filters using Impulse invariant method and Bilinear Z transform method – Realization structures for IIR filters – direct, cascade and parallel forms.
UNIT V FINITE IMPULSE RESPONSE FILTERS AND MULTIRATE SIGNAL PROCESSING
Design of linear phase FIR filters – windowing and Frequency sampling methods. Realization structures for FIR filters – Transversal and Linear phase structures, Comparison of FIR and IIR. Introduction to DSP processors. Introduction to Multirate signal Processing – Decimation and Interpolation.
COURSE OUTCOMES:
CO1: To classify the continuous time and discrete time signals and systems.
CO2: To analyze the signals in both continuous time and discrete time
CO3: To apply DFT for the analysis of digital signals & systems
CO4: To design IIR filter to process real world signals.
CO5: To design FIR filter to process real world signals.
45 PERIODS
PRACTICALS:
1. Construction of signals with different Frequencies.
2. Analyse the stability of a CT System with various inputs.
3. Analyse the stability of a DT System with various inputs.
4. Reconstruct a signal from samples and study the effect of Aliasing.
5. Spectrum Analysis using FFT
6. Filter Design & Analysis.
7. Finite word length effect.
8. Multirate Signal Processing.
9. DSP Processor Implementation. (Linear and Convolution, FFT implementation, IIR and FIR filters implementation)
Equipment required for 30 students
1. Computers with MATLAB / Equivalent software- 15 Numbers
2. TMS320C5416 Processors – 5 Numbers
30 PERIODS
TOTAL:75 PERIODS
TEXT BOOKS
1. Allan V.Oppenheim, S.Wilsky and S.H.Nawab, “Signals and Systems”, Pearson, Indian Reprint, 2nd Edition, 2015.
2. John G Proakis and Manolakis, “Digital Signal Processing Principles, Algorithms and Applications”, Pearson, 4 th Edition, 2014.
REFERENCES
1. S. Haykin and B. Van Veen, “Signals and Systems”, Wiley, 2 nd Edition, 2007
2. B. P. Lathi, “Principles of Linear Systems and Signals”, Oxford, 2nd Edition, 2009.
3. Emmanuel Ifeachor, Barrie Jervis, “Digital Signal Processing- A practical approach”, Pearson, 2nd Edition, 2002.
4. M. H. Hayes, “Digital Signal Processing, Schaum’s outlines”, Tata McGraw Hill, 2nd Edition, 2011.