COURSE TITLE: EECS 307 Communications
CATALOG DESCRIPTION: Analysis of analog communications systems,
including modulation, transmission, and demodulation of AM,
single-sideband, and FM. Design issues, channel distortion
and bandwidth limitations, spectral analysis, additive noise.
REQUIRED TEXT: R. E. Ziemer and W. H. Tranter, Principles of Communications,
Sixth Edition, New York: John Wiley & Sons, Inc., 2009.
REFERENCE TEXT: none
COURSE DIRECTOR: M. Honig
COURSE GOALS: To teach the principles underlying modulation and
demodulation of analog signals along with associated system design issues.
The latter includes power and bandwidth constraints and performance
in the presence of additive noise.
PREREQUISITES BY COURSES: EECS 222 and EECS 302
PREREQUISITES BY TOPIC:
ITEM 1: Fourier transforms and linear systems
ITEM 2: Probability and random variables
DETAILED COURSE TOPICS:
Week 1. Components of a communications system, benefits of modulation,
review of Fourier series and Fourier transform.
(READINGS: Z&T, Chapter 1, 2.1, 2.2, 2.4, 2.5)
Week 2. Properties of the Fourier transform, Fourier transform of a
periodic signal, linear systems, impulse response, time-invariant systems.
(READINGS: Z&T, 2.5 (cont.), 2.7 (excluding 2.7.13-14)
Week 3. Cross-correlation and autocorrelation of deterministic signals,
power spectral density, Hilbert transform.
(READINGS: Z&T, 2.6, 2.9.1-2)
Week 4. Analytic signals, characterization of bandpass signals,
double-sideband and amplitude modulation.
(READINGS: Z&T, 2.9.3-5, 3.1 up to ``Single-Sideband Modulation'')
Week 5. Power efficiency of AM, Single- and Vestigial-sideband modulation, mixers.
(READINGS: Z&T, 3.1 from SSB subsection up to ``Frequency Translation and Mixing'')
Week 6. Phase and frequency modulation, spectral analysis, FM bandwidth, demodulation of FM.
(READINGS: Z&T, 3.2)
Week 7. Superheterodyne receiver, multiplexing, probability review.
(READINGS: Z&T, Sec. 3.1.5, 3.7, Chapter 5)
Week 8. Probability review (cont.): densities, random variables, and statistical averages; random processes, first- and second-order statistics, stationarity and ergodicity.
(READINGS: Z&T, Chapter 5, 6.1, 6.2)
9. Auto- and cross-correlation, power spectral density of random signals, effect of filtering.
(READINGS: Z&T, 6.3, 6.4)
10. Narrowband noise, Signal-to-Noise Ratio analysis of DSB and coherent AM.
(READINGS: Z&T, 6.5.1-2, 7.1)
HOMEWORK ASSIGNMENTS:
Homework 1: Problems on using properties of the Fourier transform to
evaluate transforms of specific signals.
Homework 2: Problems on characterizing linear, time-invariant filters
and input-output relations.
Homework 3: Problems on computing the Hilbert transform, autocorrelation,
and power spectral density.
Homework 4: Problems on characterizing bandpass signals
and determining properties (e.g., modulation index and transmitted power)
of double-sideband and amplitude-modulated signals.
Homework 5: Problems on Amplitude and Single-Sideband modulation
and demodulation (e.g., computing power efficiency and determining
spectral properties).
Homework 6: Problems on phase and frequency modulation and demodulation
(e.g., computing the spectrum for tone modulation and determining bandwidth).
Homework 7: Problems on superheterodyne receivers (e.g., filter
specification and determining tuning range), and on random variables.
Homework 8: Problems on statistical averages, second-order statistics,
and ergodicity.
Homework 9: Problems on computing power spectral densities, effect of filtering,
and characterizing narrowband noise.
COMPUTER ASSIGNMENT:
Matlab assignment for viewing signals in the time and
frequency domains. The effects of filtering and modulation are demonstrated.
LABORATORY PROJECTS:
1. The students build an amplitude modulator based on the
Motorola MC1496 modulator chip, along with a noncoherent demodulator.
The outputs of the modulator and demodulator are viewed in the
time and frequency domains.
2. The students build a frequency modulator and demodulator
based on the Exar XR-2207 voltage-controlled oscillator and Exar XR-221
phase-locked loop demodulator. The output of the modulator is viewed
in the time and frequency domains, and performance of the demodulator
is observed.
GRADES:
Homework: 15%
Labs: 15%
Midterms (2): 30%
Final: 40%
COURSE OBJECTIVES: When a student completes this course, s/he should
be able to:
1. Evaluate and interpret Fourier transforms of signals by using
properties of the Fourier transform.
2. Evaluate the output of a linear, time-invariant system given
an input and the impulse response or transfer function.
3. Evaluate the autocorrelation and energy or power spectral density
of a deterministic signal.
4. Evaluate the Hilbert transform of elementary signals.
5. Characterize a bandpass signal in terms of in-phase and
quadrature components, envelope, and phase.
6. Characterize double-sideband and amplitude modulated waveforms
in the time and frequency domains.
7. Characterize double-sideband, amplitude, and single-sideband
modulation in terms of bandwidth and power efficiency.
8. Describe phase and frequency modulated signals in the time domain,
and tone modulated signals in the frequency domain.
9. Estimate the bandwidth of a phase or frequency modulated waveform.
10. Determine filter specifications and tuning range for a
superheterodyne receiver.
11. Determine whether or not a random process is wide-sense
stationary and ergodic.
12. Compute the power spectral density of a random process.
13. Compute the autocorrelation and power spectral density of
a filtered random process.
14. Specify narrowband noise in terms of low-pass random noise.
15. Compute pre- and post-detection Signal-to-Noise Ratios for
linear modulation systems.