signal correlation | Desmos

Expression 4: "S" left parenthesis, "t" , "s" , right parenthesis equals StartFraction, 1 Over "N" , EndFraction Start sum from "i" equals 1 to "N" , end sum, left parenthesis, .5 plus .5sin left parenthesis, StartFraction, "t" Over "h" left parenthesis, "i" plus "s" , right parenthesis , EndFraction plus 2 pi "h" left parenthesis, "i" plus "s" plus .5 , right parenthesis , right parenthesis , right parenthesis

4

Expression 5: "h" left parenthesis, "x" , right parenthesis equals mod left parenthesis, 10 Superscript, 4 , Baseline sin left parenthesis, 10 to the 4th power "x" , right parenthesis , 1 , right parenthesis

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Expression 6: "H" equals random left parenthesis, 4 "N" , right parenthesis

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Expression 7: "f" left parenthesis, "x" , right parenthesis equals Start integral from 0 to 10, end integral, "I" Subscript, 1 , Baseline left parenthesis, "t" , right parenthesis "I" Subscript, 2 , Baseline left parenthesis, "t" minus StartRoot, "l" squared plus "x" squared , EndRoot minus "l" , right parenthesis "d" "t"

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Expression 8: "l" equals 100

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