Formulate the underlying mathematics of the modulator

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Figure describes the block diagram of a generalized M-ary QAM modulator. Basically, the modulator includes a mapper that produces a complex amplitude am input for m = 0, 1, ¼, M - 1, The real and imaginary parts of am input the basis functions f₁( t ) and f₂(t ) respectively. The modulator is generalized in that it embodies M-ary PSK and M-ary PAM as special cases.

a. Formulate the underlying mathematics of the modulator described in given Figure.

b. Hence, show that M-ary PSK and M-ary PAM are indeed special cases of the M-ary QPSK generated by the block diagram of given Figure.

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Reference no: EM131282233

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