Derive the processing gain formula

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Figure depicts the model of a DS/BPSK system, where the order of spectrum spreading and BPSK in the actual system has been interchanged; this is feasible because both operations are linear.

For system analysis, we build on signal-space theoretic ideas of Chapter, using this model and assuming the presence of a jammer at the receiver input.

Thus, whereas signal-space representation of the transmitted signal, x(t), is one-dimensional, that of the jammer, j(t), is two-dimensional.

a. Derive the processing gain formula of (9.125).

b. Next, ignoring the benefit gained from coherent detection, derive the SNR formula of (9.126).

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Reference no: EM131282678

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