a) Find and draw an orthonormal basis function set for the signal set given in Figure 1a. Apply Gram-Schmidt orthogonalization procedure and show your calculation steps. Describe the signals in terms of the orthonormal bases. Draw the signal constellation diagram. b) For Figure 1b, using the orthonormal basis set you derived in Question 2a, describe the signals in terms of the orthonormal bases. Draw the signal constellation diagram. c) Combine the signal sets in Questions 2a and 2b. You must add another signal set to this combination, so that sum of all the signals ultimately form an efficient 8- QAM modulation scheme. Find and draw this signal set and also describe them in terms of the orthonormal bases.
2. Consider Figure 1.
a) Find and draw an orthonormal basis function set for the signal set given in Figure
1a. Apply Gram-Schmidt orthogonalization procedure and show your calculation
steps. Describe the signals in terms of the orthonormal bases. Draw the signal
constellation diagram.
b) For Figure 1b, using the orthonormal basis set you derived in Question 2a, describe
the signals in terms of the orthonormal bases. Draw the signal constellation
diagram.
c) Combine the signal sets in Questions 2a and 2b. You must add another signal set
to this combination, so that sum of all the signals ultimately form an efficient 8-
QAM modulation scheme. Find and draw this signal set and also describe them in
terms of the orthonormal bases.
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