EC 601-DIGITAL SIGNAL PROCESSING |
Discrete-time signals: |
Concept of discrete-time signal, basic idea of sampling and reconstruction of signal, Sampling Theorem
sequences – periodic, energy, power, unit-sample, unit-step, unit-ramp, real & complex exponentials,
arithmetic operations on sequences.
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LTI systems: |
Definition, representation, impulse response, derivation for the output sequence,
Concept of convolution, graphical, analytical and overlap-add methods to
compute convolution supported with examples and exercises, properties of convolution,
interconnections of LTI systems with physical interpretations, stability and causality conditions. |
Z-transform: |
Definition, mapping between s-plane and z-plane, unit circle, convergence and
ROC, properties of z-transform, z-transform on sequences with examples and
exercises, characteristic families of signals along with ROCs, convolution, correlation and
multiplication using z-transform, initial value theorem, Persevals relation, Inverse z-transform by
contour integration, power series & partial-fraction expansions with examples and exercises.
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Discrete Fourier Transform: |
Brief recapitulation of Fourier Series,
Concept and relations for DFT/IDFT, Twiddle factors and their properties,
computational burden on direct DFT, DFT / IDFT as linear transformations,
DFT/IDFT matrices, computation of DFT/IDFT by matrix method, multiplication of DFTs, circular
convolutions, computation of circular convolution by graphical, DFT/IDFT and matrix methods, linear
filtering using DFT, aliasing error, filtering of long data sequences – Overlap-Add & Overlap Save
methods with examples and exercises.
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Fast Fourier Transform: |
Radix-2 algorithm, decimation –in time and decimation-in-frequency algorithms, signal flow graphs,
Butterflies, computation in one place, bit reversal, examples and exercises. |
Filter Design: |
Basic concepts behind IIR and FIR filters, Butterworth IIR analog filter, Impulse
Invariant and Bilinear transforms, design of IIR digital filter, design of linear phase FIR filter with
rectangular window.
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Digital Signal Processor: |
Elementary idea about the architecture and important instruction sets of TMS320C 5416/6713
processor ( any one ), writing of small programs in Assembly Language.
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Text Books: |
1. Digital Signal Processing – Principles, Algorithms and Applications -
J.G.Proakis & D.G.Manolakis, Pearson Education/ PHI.
2. Digital Signal Processing Signals, Systems and Filters –
A. Antoniou, TMH Publishing Co.
3. Digital Signal Processors Architectures, Implementations and Applications –
S.M.Kuo & W. Gan, Pearson Education
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Reference Books: |
1. Digital Signal Processing – A Computer Based Approach –
S.K.Mitra, TMH Publishing Co,
2. Digital Signal Processing – P. Rameshbabu,
Scitech Publications ( India )
3. Digital Signal Processing – S. Sharma,
S.K.Kataria & Sons
4. Digital Signal Processing - S. Salivahanan, A. Vallavaraj & C. Gnanapriya,
TMH Publishing Co.
5. DSP Spectral Computation and Filter Design – C. Chen
Oxford University Press.
6. Digital Signal Processing A Hands on Approach – C. Schuler & M. Chugani
TMH Publishing Co.
7. DSP: System Analysis & Design-Pablo S.R Diniz, Eduardo A.B Desilva & Sergis L. Netts-
Cambridge University Press.
8. Introduction to Digital Signal Processing - Roman Kuc – BS Publications
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