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Electronics and Communication Digital Communication Difficulty: Medium

For any 4-ary FSK, the signal set is given by $${s_k}\left( t \right) = \sqrt {\frac{{2E}}{T}} \cos \left[ {\frac{\pi }{4}\left( {n + k} \right)t} \right];\,0 \leqslant t \leqslant T\,\,k = 1,\,2,\,3,\,4$$ The dimension of its signal space is

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