The signum function is given by sgn (x) = {\\begin{array}{c}\\\{x\end{array}/{|x{{}/{}|} }{ , } x \neq 0 ; 0 {,} x = 0 }. The Fourier series expansion of sgn (\cos (t) ) has

Correct Answer is : only cosine terms with odd numbered harmonies

only sine terms with all harmonics

only cosine terms with all harmonies

only sine terms with even numbered harmonies.

only cosine terms with odd numbered harmonies

GATE Electrical Engineering (EE) 2015 Shift 1 Solved Paper

Question : 38 of 65

Marks: +1, -0

The signum function is given by

sgn (x) = {\{\table \;{x}/{|x{{}/{}|} }{ , }\;\; x ≠ 0 ; 0 {,} \;\; x = 0 }.

The Fourier series expansion of

sgn (cos (t) )

has

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