Description: This course covers the analog underpinning of analog and digital communication systems: representation of signals and systems in the time and frequency domains; analog modulation schemes; random processes; prediction and noise analysis using random processes; noise sensitivity and bandwidth requirements of modulation schemes. Brief introduction to digital communications. Full description, including course goals and instructional objectives, can be found here.

Credit: 3 undergraduate hours or 3 graduate hours.

Prerequisite: ECE 313.

Course information in course explorer.

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Lecture Attendance Policy: Lecture attendance is not required but is is strongly recommended in order for you to learn the course material well and obtain a good grade in the course. Active participation in your learning environment is vital to your success in this course.

Communication: It is the student's responsibility to attend lectures and check their email daily, in case there are announcements from course staff. Missing a lecture and/or not checking your email will not excuse complying with course deadlines and policies.

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Textbook: Additional resources:

Lecture slides: will be posted before each module starts, in case you want to print or download ahead of time. Lecture slides will have blank spaces for some derivations and for solution of examples to be done during lecture. Updated slides with the derivations and solutions worked out during lecture will then be posted after each lecture.

Useful tables:

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Active participation in your learning environment is vital to your success in this course.

Campuswire: For discussions and questions regarding course material. Code to join: 2417.

Student online behavior: In any social interaction, certain rules of etiquette are expected and contribute to more enjoyable and productive communication. The following are tips for interacting online via e-mail or discussion board messages, adapted from guidelines originally compiled by Chuq Von Rospach and Gene Spafford (1995):

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It is the student's responsibility to check that the correct grades are entered in CANVAS.

The final grade will be calculated as follows:

In order to account for sickness, travel or internet issues, your two lowest homework grades will be dropped.

As a rough guideline, we intend to award letter grades as indicated below, where 'm' is the mean and 's' is the standard deviation.

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Instructor: Prof. Juan Alvarez, alvarez@, 3046 Electrical & Computer Eng Bldg (ECEB), 300-5452.

Teaching Assistant: Shiyi Yang, yang158@.

Communication: Please post your questions on Campuswire (2417), instead of emailing the instructor or TA directly because it is very likely that you're not the only one of enrolled in the course that has that same question. This way, others can take advantage of the responses to your questions, and other students might be able to assist you sooner.

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No conflict exams: There are no scheduled make-up exams. If you miss an exam due to illness, injury, family emergency or other reasons beyond your control, you will be asked to provide your professor with an absence letter from the Student Assistance Center in the Office of the Dean of Students. Documentation which validates the absence is required by the Dean's Office to provide the absence letter. The absence letter will serve to verify the reason for your absence from the exam. Your instructor will then take an appropriate action that may include offering an oral examination or written examination.

Exam Regrades
Old exams
Exam 1
Exam 2
Exam 3

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Homework assignment policy:

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As we prepare for this Fall, we 'd like to get some information from you in order to plan office hours for the course. Please complete this form:.

Office hours will be held in room ECEB 3036 starting August 28, through December 5, except September 4, November 7 and November 20-24.

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  1. Introduction
  2. Representation of Signals and Systems
    • Fourier Transform and bandwidth
    • LTI systems
    • Bandpass signals and systems
    • Hilbert Transform
  3. Analog Modulation
    • Amplitude modulation
      • AM, DSB, SSB, VSB, QAM
      • Modulation/demodulation
      • Bandwidth and power
      • FDM
      • AM radio
    • Angle modulation
      • FM, PM
      • Modulation/demodulation
      • Bandwidth and power
      • FM radio
  4. Probability and Random Processes
    • Probability review
    • Introduction to random processes
    • Distribution and density functions of random processes
    • Mean, auto-correlation, and auto-covariance functions
    • Stationary random processes
      • Stationary, WSS, cyclostationary
      • Power spectral density
      • Gaussian random processes
      • White random processes
      • Linear filtering of random processes
      • Bandpass random processes
      • Noise, narrow band noise
  5. Noise in Analog Modulation
    • Signal-to-noise ratio in amplitude modulation systems
      • DSB-SC, SSB
      • DSB-TC: small noise
    • Signal-to-noise ratios in angle modulation systems
      • FM
        • Small noise
        • Pre-emphasis and de-emphasis
      • PM
  6. Digital Communication
    • Sampling, quantization, quantization noise
    • Waveform coding: PCM, DPCM, DM
    • Line Codes and Power Spectra of Binary Transmission:
      • RZ vs. NRZ
      • on/off, polar, bipolar, Manchester
    • Intersymbol interference (ISI)
    • Eye diagrams.
    • Digital modulation (PAM, PWM, PPM, ASK, FSK, PSK, QPSK, and QAM)
    • Baseband pulse transmission in AWGN: Optimum receiver, detection error probability
      • Binary
      • M-ary

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Academic integrity

The University of Illinois at Urbana-Champaign Student Code should is very important for you to know.

Students should pay particular attention to Article 1, Part 4: Academic Integrity. Academic dishonesty may result in a failing grade. Every student is expected to review and abide by the Academic Integrity Policy. Ignorance is not an excuse for any academic dishonesty. It is your responsibility to read this policy to avoid any misunderstanding. Do not hesitate to ask the instructor(s) if you are ever in doubt about what constitutes plagiarism, cheating, or any other breach of academic integrity.


The effectiveness of this course is dependent upon the creation of an encouraging and safe classroom environment. Exclusionary, offensive or harmful speech (such as racism, sexism, homophobia, transphobia, etc.) will not be tolerated and in some cases subject to University harassment procedures. We are all responsible for creating a positive and safe environment that allows all students equal respect and comfort. I expect each of you to help establish and maintain and environment where you and your peers can contribute without fear of ridicule or intolerant or offensive language.

Disability Resources and Educational Services (DRES)

To obtain disability-related academic adjustments and/or auxiliary aids, students with disabilities must contact the course instructor and the Disability Resources and Educational Services (DRES) as soon as possible.

To contact DRES, you may visit 1207 S. Oak St., Champaign, call 333-4603, e-mail or go to the DRES website.

If you are concerned you have a disability-related condition that is impacting your academic progress, there are academic screening appointments available on campus that can help diagnosis a previously undiagnosed disability by visiting the DRES website and selecting “Sign-Up for an Academic Screening” at the bottom of the page.


Any student who has suppressed their directory information pursuant to Family Educational Rights and Privacy Act (FERPA) should self-identify to the instructor to ensure protection of the privacy of their attendance in this course. Click here for more information on FERPA.

Sexual misconduct

The University of Illinois is committed to combating sexual misconduct. Faculty and staff members are required to report any instances of sexual misconduct to the University’s Title IX and Disability Office. In turn, an individual with the Title IX and Disability Office will provide information about rights and options, including accommodations, support services, the campus disciplinary process, and law enforcement options. A list of the designated University employees who, as counselors, confidential advisors, and medical professionals, do not have this reporting responsibility and can maintain confidentiality, can be found here. Other information about resources and reporting is available here.

Support Resources and Supporting Fellow Students in Distress

As members of the Illinois community, we each have a responsibility to express care and concern for one another. If you come across a classmate whose behavior concerns you, whether in regards to their well-being or yours, we encourage you to refer this behavior to the Student Assistance Center (1-217-333-0050) or online. Based upon your report, staff in the Student Assistance Center reaches out to students to make sure they have the support they need to be healthy and safe. Further, as a Community of Care, we want to support you in your overall wellness. We know that students sometimes face challenges that can impact academic performance (examples include mental health concerns, food insecurity, homelessness, personal emergencies). Should you find that you are managing such a challenge and that it is interfering with your coursework, you are encouraged to contact theStudent Assistance Center (SAC)in the Office of the Dean of Students for support and referrals to campus and/or community resources. The SAC has a Dean on Duty available to see students who walk in, call, or email the office during business hours. For mental health emergencies, you can call 911 or contact the Counseling Center.

Run, hide, fight.

Emergencies can happen anywhere and at any time. It is important that we take a minute to prepare for a situation in which our safety or even our lives could depend on our ability to react quickly. When we’re faced with almost any kind of emergency – like severe weather or if someone is trying to hurt you – we have three options: Run, hide or fight.

Run, hide, fight video.

Leaving the area quickly is the best option if it is safe to do so.
  • Take time now to learn the different ways to leave your building.
  • Leave personal items behind.
  • Assist those who need help, but consider whether doing so puts yourself at risk.
  • Alert authorities of the emergency when it is safe to do so.
When you can’t or don’t want to run, take shelter indoors.
  • Take time now to learn different ways to seek shelter in your building.
  • If severe weather is imminent, go to the nearest indoor storm refuge area.
  • If someone is trying to hurt you and you can’t evacuate, get to a place where you can’t be seen, lock or barricade your area if possible, silence your phone, don’t make any noise and don’t come out until you receive an Illini-Alert indicating it is safe to do so.
As a last resort, you may need to fight to increase your chances of survival.
  • Think about what kind of common items are in your area which you can use to defend yourself.
  • Team up with others to fight if the situation allows.
  • Mentally prepare yourself – you may be in a fight for your life

Please be aware of people with disabilities who may need additional assistance in emergency situations

Other resources