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TELE9754 FINAL PROJECT (SUBMISSION DEADLINE: 23:59, 24 NOV. 2023) 0

Final Project on TELE9754 Coding and Information Theory

Instructions:

• Total Marks: 20.

• Deadline of the report submission: 11:59 pm 24 November 2023.

• Each group must submit the project report to w.zhang@unsw.edu.au in a

single PDF file only. The program code should be included in the PDF file,

not attached as a separate file.

• Each group (at most 2 persons in one group) must work on ONE of the

following projects independently.

• The report should be written in a style of a research paper, e.g. IEEE Transactions papers. It should include

(a) Title (Project ID and title) and authors (name, student ID, email.)

(b) Abstract (briefly introduce what is done and what is obtained)

(c) Introduction (some background/overview of the research area related

to the project)

(d) System model and signal model (show a diagram of the system model,

introduce the assumed knowledge of the model, and give some signal

analysis of the model)

(e) Main results (analysis and results of the project) and simulation results

(simulation figures and discussion)

(g) Conclusion (what is found, obtained or verified in the project)

(h) References

(j) Appendix: the program code for simulation results.

TELE9754 FINAL PROJECT (SUBMISSION DEADLINE: 23:59, 24 NOV. 2023) 1

I. PERFORMANCE OF SPACE-TIME BLOCK CODES

Project ID: P1

Project Description:

For i.i.d. Rayleigh fading and QPSK transmission with orthogonal STBC.

1) Plot the symbol error rate (SER) as a function of SNR (from 0 to 20 dB) for

a MIMO channel with M transmit antennas and N receive antennas:

• M = 1, N = 4 (no coding)

• M = N = 2 (Alamouti Coding)

• M = 4, N = 1 (Orthogonal STBC for 4 transmit antennas, see the code

example in Lecture note)

2) Derive pair-wise error probability (PEP) of the Alamouti code for M = 2

and N = 2 and determine the diversity order.

TELE9754 FINAL PROJECT (SUBMISSION DEADLINE: 23:59, 24 NOV. 2023) 2

II. CAPACITY OF ALAMOUTI CODES

Project ID: P2

Project Description:

For i.i.d. Rayleigh fading and Gaussian signaling with Alamouti coding scheme.

1) Plot the ergodic capacity as a function of SNR (from 0 to 30 dB) for a MIMO

channel with M transmit antennas and N receive antennas:

• M = 2, N = 1

• M = N = 2

• M = 2, N = 4

2) In the same graph, plot the ergodic capacity of uncoded MIMO channels

with the same antenna configurations. Compare with preceding results and

comment with reasoning.

TELE9754 FINAL PROJECT (SUBMISSION DEADLINE: 23:59, 24 NOV. 2023) 3

III. SPACE-TIME BLOCK CODES FOR 4 TRANSMIT ANTENNAS

Project ID: P3

Project Description:

Consider a transmission of QPSK symbols over a 4 × 2 channel with i.i.d.

Rayleigh fading.

1) Plot the symbol error rate (SER) as a function of SNR (from 0 to 30 dB) for

an orthogonal STBC which is given by [1]

2) In the same graph, plot the SER of a quasi-orthogonal STBC for four transmit

antennas, which is given by [2]

. (1)

Compare with preceding results on the diversity gain and symbol rate. Comment with reasoning.

[1] O. Tirkkonen and A. Hottinen, “Square-matrix embeddable space-time block

codes for complex signal cosntellations,” IEEE Trans. Inform. Theory, vol 48, pp.

1122–1126, Feb. 2002.

[2] H. Jafarkhani, “A quasi-orthogonal space-time block code,” IEEE Trans.

Commun., vol. 49, pp. 1–4, Jan. 2001.

TELE9754 FINAL PROJECT (SUBMISSION DEADLINE: 23:59, 24 NOV. 2023) 4

IV. CODED OFDM SYSTEM

Project ID: P4

Project Description:

Consider a transmission of BPSK signals in an OFDM system with 64-point

IFFT at transmitter and FFT at receiver. The sampling frequency of the OFDM

system is 20 MHz. The ISI Rayleigh fading channel is given by the 2-tap channel

model with path delay [0, 0.5]µs.

1) Plot the symbol error rate (SER) as a function of SNR (from 0 to 30 dB) of

the OFDM system by choosing an appropriate length of cyclic prefix for the

OFDM.

2) Consider that a rate-1/2 convolutional code and a viterbi-decoding are applied

to the OFDM system. Plot the SER of the coded OFDM system. Compare

with preceding results and comment with reasoning.

TELE9754 FINAL PROJECT (SUBMISSION DEADLINE: 23:59, 24 NOV. 2023) 5

V. MIMO-OFDM SYSTEM

Project ID: P5

Project Description:

Consider an MIMO-OFDM system with 2 transmit antennas, 2 receive antennas

and 64-point IFFT/FFT for OFDM. The sampling frequency of the OFDM is 20

MHz. The channel from transmit antenna j(j = 1, 2) to receive antenna i(i = 1, 2)

is a 2-path Rayleigh fading channel model with path delays of [0, 0.5]µs. Alamouticoding of QPSK symbols is applied at the transmitter on each OFDM subcarrier.

1) Plot the symbol error rate (SER) as a function of SNR (from 0 to 30 dB) for

the MIMO-OFDM system.

2) In the same graph, plot the SER of the uncoded QPSK for the MIMO-OFDM

system.

3) Determine the diversity gain achieved by the Alamouti-coded MIMO-OFDM

system. Is that the maximum diversity gain? Comment with reasoning.

TELE9754 FINAL PROJECT (SUBMISSION DEADLINE: 23:59, 24 NOV. 2023) 6

VI. CAPACITY OF MIMO FADING CHANNELS

Project ID: P6

Project Description:

Consider a MIMO channel with M transmit antennas and N receive antennas.

Assume that the channel experiences Rayleigh fading.

1) Plot the ergodic capacities and 99% outage capacities (for SNR ranging from

0 dB to 40 dB) of the following antenna configurations:

• M = N = 1

• M = 1; N = 2

• M = 2; N = 1

• M = N = 2

2) Comment with specific reasoning on the relative values of the above capacities.

3) Verify that the ergodic capacity increases linearly in min (M, N) at high

SNR.

TELE9754 FINAL PROJECT (SUBMISSION DEADLINE: 23:59, 24 NOV. 2023) 7

VII. CAPACITY OF MIMO CHANNELS WITH KNOWN CHANNEL STATE INFORMATION AT

TRANSMITTER (CSIT)

Project ID: P7

Project Description:

Consider a static channel H. Assuming the channel is known to the transmitter

and receiver.

calculate the capacity of channel at SNR of 10 dB through waterfilling.

calculate the capacity of channel at SNR of 10 dB through waterfilling.

calculate the capacity of channel at SNR of 10 dB through waterfilling.

Compare with your preceding results and comment with reasoning.

4) Plot the capacity of the above three channels for SNR ranging from 0 dB to

20 dB (with a step size of 2 dB).

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