6.003/Fall 2016 Problem Set 5
due before the lecture on October 20, 2016
October 13, 2016
This problem set explores time domain methods for working with difference equations.
Problem 5.1: Solve a Difference Equation by Hand, Verify with MATLAB
Consider th

6.003/Fall 2016 Problem Set 6
due before the lecture on November 3, 2016
October 28, 2016
This problem set explores z-transforms and system functions as tools for working with LTI systems
and their interconnections.
Problem 6.1
For each of the following s

6.003/Fall 2016 Problem Set 4
due before the lecture on October 13, 2016
October 7, 2016
This problem set continues to explore DTFT in its relation to stable LTI systems, modulation,
and sampling.
Problem 4.1: Convolution.
(a) Find all non-zero samples of

Design Of FIR Filters
6.003 Fall 2016 Lecture 8
6.003 Fall 2016 Lecture 8
Design Of FIR Filters
October 4, 2016
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Design Of FIR Filters
motivation: LPF, HPF, BPF, deconvolution, interpolation
ideal band-pass filters
the inverse DTFT approach
the Gibb

6.003/Fall 2016 Problem Set 1
due before the lecture on September 22, 2016
September 15, 2016
This problem set explores the fundamental properties of systems (linearity, time-invariance, causality, memorylessness, stability) as well as the most basic prop

6.003/Fall 2016 Problem Set 3
due before the lecture on October 6, 2016
September 30, 2016
This problem set explores DTFT in its relation to stable LTI systems and time domain multiplication. The optional MATLAB coding assignments from 3.1-3.3 are worth u

DTFT Analysis of Sampling and Modulation
6.003 Fall 2016 Lecture 9
6.003 Fall 2016 Lecture 9
DTFT Analysis of Sampling and Modulation
October 6, 2016
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DTFT Analysis of Modulation and Sampling
bandlimited signals: spectrum, time domain look, sound
am

DTFT and LTI Systems/Convolution
6.003 Fall 2016 Lecture 6
6.003 Fall 2016 Lecture 6
DTFT and LTI Systems/Convolution
September 27, 2016
1 / 33
DTFT and LTI Systems/Convolution
Lecture 5 overflow: Parseval identity
Frequency domain multiplication as time

z-Transform
6.003 Fall 2016 Lecture 11
6.003 Fall 2016 Lecture 11
z-Transform
October 18, 2016
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z-Transform
Motivation: the need to handle difference equations.
z-transform as a weighted well-behaved Fourier transform
Region of convergence of z-tran