MS Thesis Defense

On MIMO Channel Modeling and Capacity
Using the Channel Correlation Matrix

Anush Chandrasekaran

1:00pm Wednesday, 18 July 2012, ITE 325b

Communication systems have always been affected by multipath propagation that causes a delay and distortion in receiving the signal, with a different delay for each path. Multiple-Input Multiple-Output (MIMO) communication systems were developed to combat this problem and use multipath propagation to their benefit. A MIMO communication system contains M transmitter antennas and N receiver antennas that are used to improve either the robustness of transmission or the throughput.

We assume an exponential channel correlation matrix R model for the MIMO channel with J = M = N and use it to compute the channel H-matrix, the receiver (RRx) and transmitter (RTx) correlation matrices, and the ergodic MIMO channel capacity (CH). We propose two algorithms to obtain RRx and RTx from R, which have been used to estimate/bound CH. We investigate and compare three ergodic MIMO channel capacity estimation/bound methods for our MIMO channel model in this thesis. The first two existing estimation/bound methods use the Kronecker model and an RRx-based bound, respectively. The third method is a novel method we propose and study to estimate the ergodic MIMO channel capacity using specific eigenvalues of RRx. The behavior of the eigenvalues of R and RRx are analyzed to identify the eigenvalues that can be used in this method. This method achieves less relative-error compared to the RRx-based bound. It is better than the Kronecker model for specific values of J and the correlation parameter r.

Committee: Drs. Joel M. Morris (Chair), E. F. Charles LaBerge, Mohamed Younis and Tinoosh Mohsenin

1 Peter 2:11-25 (NIV)

11 Dear friends, I urge you, as foreigners and exiles, to abstain from sinful desires, which wage war against your soul. 12 Live such good lives among the pagans that, though they accuse you of doing wrong, they may see your good deeds and glorify God on the day he visits us.
13 Submit yourselves for the Lord’s sake to every human authority: whether to the emperor, as the supreme authority, 14 or to governors, who are sent by him to punish those who do wrong and to commend those who do right. 15 For it is God’s will that by doing good you should silence the ignorant talk of foolish people. 16 Live as free people, but do not use your freedom as a cover-up for evil; live as God’s slaves. 17 Show proper respect to everyone, love the family of believers, fear God, honor the emperor.
18 Slaves, in reverent fear of God submit yourselves to your masters, not only to those who are good and considerate, but also to those who are harsh. 19 For it is commendable if someone bears up under the pain of unjust suffering because they are conscious of God. 20 But how is it to your credit if you receive a beating for doing wrong and endure it? But if you suffer for doing good and you endure it, this is commendable before God. 21 To this you were called, because Christ suffered for you, leaving you an example, that you should follow in his steps.
22 “He committed no sin,
and no deceit was found in his mouth.”
23 When they hurled their insults at him, he did not retaliate; when he suffered, he made no threats. Instead, he entrusted himself to him who judges justly. 24 “He himself bore our sins” in his body on the cross, so that we might die to sins and live for righteousness; “by his wounds you have been healed.” 25 For “you were like sheep going astray,” but now you have returned to the Shepherd and Overseer of your souls.

Reflection:

When we think of a foreigner, we may think of a recent immigrant who just doesn’t get the new land’s ways. Instead of waving hello, that person might bow or kiss our cheeks. We can tell they’re a foreigner because they seem to be operating on a different system. And that’s who we are now that we have been called by God for His purposes. We live among all the people but we have a new system that we live by. We no longer live by flesh or sinful desires- that was the old system. We have the new system, the new reality of the Spirit living in us and living for God’s good and ultimately for His glory. And all this is being consistent with who we are in Christ, following in His steps.

Response:

Let’s pray that we will continue to live as foreigners in this world that as we’ve been made new in Christ, we will ask the Lord’s help to live by the Spirit, by the new reality of who are in Christ and to follow Christ’s example so as to bring glory to God.

Mac or PC? Desktop or Laptop? Unless you plan to be a Visual Arts major, the computer you bring to UMBC doesn't have to meet any special requirements. But, the truth is that an old computer that takes twenty minutes to start-up will only multiply the stress of papers and exams. Below are our recommendations for minimum computer requirements, taken from UMBC's Division of Information Technology (DoIT) website:

Desktop or Laptop?

Laptop.

DoIT recommends laptops, stating that last year, over 90% of freshman came to campus with both a laptop and another wireless mobile device (smart phone, iPod touch, iPad, tablet, etc.). Laptops have become an essential note-taking tool in classes, plus they give students the freedom to study anywhere. Their compact size also makes them more practical for dorm-living.

If you prefer a desktop, consider a Dell All-in-One, or an iMac. Their compact size makes them more convenient in small living spaces, plus they consume less energy.

Recommended Dell All-in-Ones:

• Inspiron One 2320
• Intel Core™ i5-2400S processor (2.50GHz with 6MB Cache)
• Genuine Windows® 7 Home Premium, 64Bit, English
• 6GB3 Dual Channel DDR3 SDRAM at 1333MHz
• 1TB – 7200RPM, SATA 3.0Gb/s, 16MB Cache
• Nvidia® Geforce™ GT 525M
• 3 Year Basic Support

Recommended iMacs:

• 2.5GHz Quad-Core Intel Core i5
• 4GB 1333MHz DDR3 SDRAM – 2x2GB
• 500GB Serial ATA Drive
• AMD Radeon HD 6750M 512MB GDDR5
• Apple Magic Mouse
• Apple Wireless Keyboard (English) + User's Guide
• AppleCare Protection Plan for iMac – Auto-enroll
• Accessory kit
• 21.5-inch widescreen

Mac or PC?

Either.

Whether you choose a Mac or a PC is a matter of preference. The UMBC Bookstore is an authorized Apple retailer, and offers students competitive pricing and on-campus technical support.

Mac Laptop Recommendations:

For Engineering and Science majors, DoIT recommends the Apple MacBook Pro 13-inch. The specs are:

2.5GHz dual-core
Intel Core i5
4GB memory 1600MHz
500GB 5400-rpm
Intel HD Graphics 4000
Built-in battery (7 hours)

Also to consider:

• The Macbook Air is recommended for students who use their laptops for taking notes.
• Get a computer with at least 4GB of RAM.
• Consider purchasing VMWARE if you need to run Windows applications on your Mac.

PC Laptop Reccomendations:

• Windows 7 Home Premium operating system.
• Get a computer with at least 4GB RAM.
• Use Microsoft Forefront for virus protection.

The Empowering Leadership Alliance (ELA) webinars on “Proposal Writing” and the “The Final Defense” that were scheduled for today, Monday July 16, 2012, and tomorrow, Tuesday July 17, 2012, have been postponed. They will be rescheduled for a later date in either August or September, due to an unexpected and unfortunate event that affects the ELA family. ELA contacted Dr. Carter-Veale and Dr. Tull this morning with the news and sends apologies for the inconvenience. Dr. Carter-Veale and Dr. Tull look forward to presenting at another time, at the convenience of the ELA.

The Empowering Leadership Alliance (ELA) webinars on “Proposal Writing” and the “The Final Defense” that were scheduled for today, Monday July 16, 2012, and tomorrow, Tuesday July 17, 2012, have been postponed. They will be rescheduled for a later date in either August or September, due to an unexpected and unfortunate event that affects the ELA family. ELA contacted Dr. Carter-Veale and Dr. Tull this morning with the news and sends apologies for the inconvenience. Dr. Carter-Veale and Dr. Tull look forward to presenting at another time, at the convenience of the ELA.

UMBC is pleased to announce our new on-campus banking partner, PNC Bank. A PNC Bank eOffice will be located in The Commons; the space is currently being remodeled with a tentative opening date of August 15, 2012. For information about PNC Bank services, please visit www.pnc.com or any PNC branch office. Presently, the closest PNC Bank branch is located at 728 Frederick Road in Catonsville ( 410-788-2200).

Should you wish to open an account on campus or have questions, you can visit with a PNC representative about their banking features in The Commons on Main Street during the interim remodeling period. PNC representatives will be available week days from 9 a.m.-2 p.m. beginning July 18, 2012. Once the PNC eOffice is open, business hours will be 9 a.m.-5 p.m., Monday through Friday.

Further information and other announcements about banking with PNC will be available shortly on the web at myUMBC.