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Porblem-1. Barker Spectrum

Derive analytically the spectrum of the Barker code (11 chips)

1376_Barker Spectrum.jpg

Problem-2 . Convolution

a.) Define the spectrum

53_Convolution.jpg

Prove that the inverse Fourier Transform of

571_Fourier Transform.jpg

b) Use convolution theorem and problem 1 to prove that sin c (t) * sin c (t) = sin c (t) (hint: transform to the frequency domain)

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