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Two signals ? ? 1 x t and ? ? 2 x t are given as ? ? ? ? 12 2 2 1 Rectangular waveform 4 1 5 3 2 Triangular waveform 2 x t tt x t ? ? ? ? ?? ? ? ? ? ? ? ? ? ? ? ?? ? ? ? ? ? ? 1. Plot ? ? 1 x t and ? ? 2 x t 2. Find the frequency response of ? ? 1 x t and ? ? 2 x t 3. Find the frequency response of a) ? ? 10 ? ? 0 2 y t ? e? j ? t ? x t 4. Find the following convolution a) ? ? ? ? ? ? 1 1 1 y t ? x t ? x t b) ? ? ? ? ? ? 3 1 2 y t ? x t ? x t 5. Find the frequency response of each a) ? ? ? ? ? ? 3 1 y t ?? t ?1 ? x t b) ? ? ? ? ? ? 4 2 y t ?? t ? 5 ? x t 6. Write the Fourier integral representation of the function and determine what this integral converges to. ? ? for 2 0 for and for 2 x x f x x x ? ? ? ? ? ? ? ? ? ? ? ? ? ?
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