Question

Define the relationship between CLT and signal convolution. Using the iteratively repeated convolution of (u[x-a]- u[x-b] with itself, show that the property holds. Use the a and b variables given in the table and explain whether there are differences among the results and comment on the causes of them. -1 -2 -20 2 20

Answer 1

Cx) 4 8 千 9 1a

dt. Ba 个昌(A) 4 チ し6 1見 cCa) tau 12 OL

We have to deftne the relationship between Central Lmet Theovm and Sigmal Convoluttorn parocesses results in Glaussian distri bett on 1s that, f a pulse the signal t5 tonvolved uwfth ftself Centval linet theoron states that Gam of many random The melatiom between CLT and Gtgnal onvoluffon many times) a Gaugsian produced As the pulse cidth imcneases, mo of Ptemattons decreases to attainGssian aPotn? button

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As the pulse width increases the iterative convolution result , will become more flattened Gaussian.