Question

here is the solution for the question but i need someone help to understand part b please.

ф1(t) 2(t) 0. -1 Figure 7: Set of orthonormal basis functions in Problem 4 The signals si(t) and s2(t) are given by 201 (t) +dy(t) s2(t) h2(t) hi(t) (a) Design and draw the matched filter for the system using the above orthonormal basis functions to minimize the BER Result is in Fig. 8. (b) Design and draw the receiver for the system using only one matched filter to minimize the BER. (HINT: Find the difference signal first) Find the different signal d() -s(t)-(t)-2t) -ot). Then normalize d(t) to get ф(t). Finally, you can design a single matched filter h(t) that depends on o(t) only. Plotting of ф(t) and h(t) is in Fig. 9. h(t) φ(t) 0 v2 v/2 Figure 9: Single matched filter implementation in Problem 4. 5. (20pt) You're given three files for the MATLAB exercises. (a) basisfunction.m: This is the first exercise to get familiar with the construction of basis functions and binary signals. Plot of basis functions that are cosine and sine functions Plot of signals constructed from cosine and sine functions. Note that si(t) and s2(t) are

Answer 1

Solution:

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olution 9H) 5 Hevie Set

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