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Final Project on TELE9754 Coding and Information Theory: PERFORMANCE OF SPACE-TIME BLOCK CODES, CAPACITY OF ALAMOUTI CODES

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UNSWTELE9754Coding and Information TheoryMIMO-OFDM SYSTEMCAPACITY OF MIMO FADING CHANNELSCODED OFDM SYSTEMSPACE-TIME BLOCK CODES FOR 4 TRANSMIT ANTENNAS

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

Final Project on TELE9754 Coding and Information Theory CourseNana.COM


CourseNana.COM

I. PERFORMANCE OF SPACE-TIME BLOCK CODES CourseNana.COM

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
CourseNana.COM

a MIMO channel with M transmit antennas and N receive antennas: M=1,N=4(nocoding) CourseNana.COM

M = N = 2 (Alamouti Coding)
M = 4, N = 1 (Orthogonal STBC for 4 transmit antennas, see the code CourseNana.COM

example in Lecture note)
2) Derive pair-wise error probability (PEP) of the Alamouti code for
M = 2 CourseNana.COM

and N = 2 and determine the diversity order. CourseNana.COM

II. CAPACITY OF ALAMOUTI CODES CourseNana.COM

Project ID: P2
Project Description:
For i.i.d. Rayleigh fading and Gaussian signaling with Alamouti coding scheme.
CourseNana.COM

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

    channel with M transmit antennas and N receive antennas: M=2,N=1 CourseNana.COM

    M=N=2 CourseNana.COM

    M=2,N=4 CourseNana.COM

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

    with the same antenna configurations. Compare with preceding results and comment with reasoning. CourseNana.COM

III. SPACE-TIME BLOCK CODES FOR 4 TRANSMIT ANTENNAS CourseNana.COM

Project ID: P3
Project Description:
Consider a transmission of QPSK symbols over a
4 × 2 channel with i.i.d. CourseNana.COM

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

an orthogonal STBC which is given by [1] CourseNana.COM

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

antennas, which is given by [2] CourseNana.COM

Compare with preceding results on the diversity gain and symbol rate. Com- ment with reasoning. CourseNana.COM

[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. CourseNana.COM

[2] H. Jafarkhani, “A quasi-orthogonal space-time block code,” IEEE Trans. Commun., vol. 49, pp. 1–4, Jan. 2001. CourseNana.COM

IV. CODED OFDM SYSTEM CourseNana.COM

Project ID: P4
Project Description:
Consider a transmission of BPSK signals in an OFDM system with
64-point CourseNana.COM

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. CourseNana.COM

  1. 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. CourseNana.COM

  2. 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. CourseNana.COM


    V. MIMO-OFDM SYSTEM CourseNana.COM

Project ID: P5
Project Description:
Consider an MIMO-OFDM system with
2 transmit antennas, 2 receive antennas CourseNana.COM

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. Alamouti- coding of QPSK symbols is applied at the transmitter on each OFDM subcarrier. CourseNana.COM

  1. 1)  Plot the symbol error rate (SER) as a function of SNR (from 0 to 30 dB) for the MIMO-OFDM system. CourseNana.COM

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

  3. 3)  Determine the diversity gain achieved by the Alamouti-coded MIMO-OFDM system. Is that the maximum diversity gain? Comment with reasoning. CourseNana.COM

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

VI. CAPACITY OF MIMO FADING CHANNELS CourseNana.COM

Project ID: P6
Project Description:
Consider a MIMO channel with
M transmit antennas and N receive antennas. CourseNana.COM

Assume that the channel experiences Rayleigh fading. CourseNana.COM

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

    0 dB to 40 dB) of the following antenna configurations: CourseNana.COM

    M=N=1
    M=1;N=2 M=2;N=1 M=N=2 CourseNana.COM

  2. 2)  Comment with specific reasoning on the relative values of the above capaci- ties. CourseNana.COM

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

21
calculate the capacity of channel at SNR of 10 dB through waterfilling. CourseNana.COM

2 1
calculate the capacity of channel at SNR of 10 dB through waterfilling. CourseNana.COM

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
CourseNana.COM

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

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