z multiplication

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SVIST
LESSON PLAN
Name: Sourav Pal & Arindam Halder
Designation: Asst Professor
Department: ECE
Academic Year: 2013-2014
Sub: Digital Signal Processing
Sl.
No.
Code:
Main Topics
1
Stream: ECE (A&B)
Sub Topics under main topic
a)
Discrete-time
signals
EC - 602
Concept of discrete-time signal, basic idea of
sampling and reconstruction of signal, sampling
theorem
b) sequences – periodic, energy, power, unitsample, unit-step, unit-ramp, real & complex
exponentials,
c)
arithmetic operations on sequences.
a)
Definition, mapping between s-plane and zplane, unit circle, convergence and ROC,
No. of lecture
classes for
sub-topics
1L
1L
1L
1L
b) properties of Z-transform, Z-transform on
sequences with examples and exercises
2
Z-Transform
c)
characteristic families of signals along with
ROCs, convolution, correlation
and multiplication using Z-transform, initial
value theorem, Perseval’s relation,
d)
inverse Z-transform by contour integration,
power series & partial-fraction expansions with
examples and exercises.
2L
1L
2L
Signature of the Faculty & Date
Signature of the respective HOD & Date
Reviewed by Principal and Date.
SVIST
LESSON PLAN
Name: Sourav Pal & Arindam Halder
Designation: Asst Professor
Department: ECE
Academic Year: 2013-2014
Sub: Digital Signal Processing
Code:
EC - 602
Stream: ECE (A&B)
a) Concept and relations for DFT/IDFT, Twiddle
factors and their properties,
b)
3
Discrete Fourier
Transform
computational burden on direct DFT,
DFT/IDFT as linear transformations,
DFT/IDFT matrices, computation of DFT/IDFT
by matrix method,
1L
c)
multiplication of DFTs, circular convolution,
computation of circular convolution by
graphical, DFT/IDFT and matrix methods,
1L
d)
linear filtering using DFT, aliasing error,
filtering of long data sequences – Overlap-Save
and Overlap-Add methods with examples and
exercises.
Radix-2 algorithm, decimation-in-time,
decimation-in-frequency algorithms, signal
flow graphs,
a)
4
Fast Fourier
Transform
1L
b)
Butterflies, computations in one place, bit
reversal, examples for DIT & DIF FFT
Butterfly computations and exercises.
2L
2L
2L
5
Filter Design
6
a)
Basic concepts of IIR and FIR filters,
1L
b)
difference equations, design of Butterworth IIR
analog filter using impulse invariant and
bilinear transforms,
2L
Digital Signal
Processor
c)
design of linear phase FIR filters, no. of taps,
rectangular, Hamming and Blackman windows
2L
a)
Elementary idea about the architecture and
important instruction sets of TMS320C
5416/6713 processor,
2L
b)
writing of small programs
in Assembly Language.
2L
Signature of the Faculty & Date
Signature of the respective HOD & Date
Reviewed by Principal and Date.
SVIST
LESSON PLAN
Name: Sourav Pal & Arindam Halder
Designation: Asst Professor
Department: ECE
Academic Year: 2013-2014
Sub: Digital Signal Processing
7
8
FPGA
LTI Systems
Code:
EC - 602
Stream: ECE (A&B)
a)
Architecture, different sub-systems,
1L
b)
design flow for DSP system design, mapping of
DSP algorithms onto FPGA
2L
a)
Definition, representation, impulse response,
derivation for the output sequence,
1L
b)
concept of convolution, graphical, analytical
and overlap-add methods to compute
convolution supported with examples and
exercises,
2L
c)
properties of convolution, interconnections of
LTI systems with physical interpretations,
1L
c)
stability and causality conditions, recursive and
non-recursive systems
2L
Signature of the Faculty & Date
Signature of the respective HOD & Date
Reviewed by Principal and Date.
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