ECE 4601 Midterm: ECE 4601 GT Exam14

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The noise process n1(t) is wide sense stationary and its power spectral density is shown below. W f: 6 marks: derive the autocorrelation of n2(t), n2n2( ), in terms of the autocor- relation of n1(t), n1n1( ), 4 marks: find and plot the corresponding power spectral density of n2(t). 2: signal space and error probability: consider the set of signal waveforms i=1, where the si(t) all have duration t . The corresponding set of signal i=1 is comprised of all possible distinct vectors. {si(t)}m vectors {si}m si = [si1, si2, . , sin ], i = 1, 2, . 3: signal constellations: you have been asked to design a modulation scheme to conserve bandwidth and it has been decided to use an 8-qam signal con- stellation. A conventional 8-qam constellation based on an odd-integer lattice does not use the available power e ciently.

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