(VII) (a) Suppose the Fourier coefficients of a 2L periodic function f(x) are a,, (n= 0, 1, 2...) and b, (n-1, 2...). An

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Vii A Suppose The Fourier Coefficients Of A 2l Periodic Function F X Are A N 0 1 2 And B N 1 2 An 1 (56.61 KiB) Viewed 94 times

(VII) (a) Suppose the Fourier coefficients of a 2L periodic function f(x) are a,, (n= 0, 1, 2...) and b, (n-1, 2...). And if the Fourier coefficients of the shifted periodic function f(x-k) for the same fand for any positive constant k are A (n-0, 1, 2 ...) and ηπκ nлk B, (n-1, 2, ...), then show that A,a,, A₁, = a, cos- --b sin and L L nak Basin - +b, cos Find the relation between RMS values of f(x) and f(x-k). nak L L