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日期:2024-03-27 09:06

TELE4653 - ASSIGNMENT (DEADLINE: 7 APRIL 2024) 0

Assignment - TELE4653 Digital Modulation & Coding

Publication Date: 14 March 2024.

Notes:

? Total Marks: 10.

? Total pages: 2 (including this page).

? Deadline of the report submission: 23:59, 7 April 2024.

? Late submission will suffer a penalty of 2 marks per day late.

? The assignment report (in PDF file) must be sent to w.zhang@unsw.edu.au before/on

the deadline.

? Every student must work on the assignment independently.

? The assignment report should include following:

(a) Title page: Student name & ID, email address, etc.

(b) Main part: your solutions with detailed derivations.

(c) MATLAB results (plotting and discussion of results).

(d) Appendix: MATLAB code for producing the figures in the report. DO NOT send

the code in a separate file. Please copy and paste it in your report.

TELE4653 - ASSIGNMENT (DEADLINE: 7 APRIL 2024) 1

ASSIGNMENT - TELE4653, 2024

Question 1 (10 Marks)

Consider the two 8-point QAM signal constellations shown in Fig. 1. The minimum distance between adjacent points is 1.

(a) (b)

Fig. 1. Two 8-point QAM signal constellations.

Suppose at time instant k a signal point ak randomly selected from the constellation A is transmitted and corrupted by additive zero-mean white Gaussian noise

zk. The received signal can be expressed as

rk = ak + zk.

The detection of signal ak is performed by finding

a?k = arg min

?ak∈A

|rk ? ak|

2

,

i.e., the one which has the minimum Euclidean distance between the received

signal rk and the possible transmitted signal point in the constellation A. Plot the

average probability of the detection error (a? 6= a) as a function of signal to noise

ratio (SNR) from 0 dB to 10 dB for each constellation in Fig. 1 (Please attach

the program code for producing the simulation figure).


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