engineering recuitment GATE ECE 2023-24 Test Series Signals and Systems Fourier Series Definition of Fourier Series
The Fourier series coefficient of a signal x(t) having fundamental frequency = 2 rad/sec is
\(X\left( k \right) = {\left( {\frac{{ - 1}}{4}} \right)^{\left| k \right|}}\)
The signal x(t) is given as:1
\(\frac{{15}}{{17 + 4\cos t}}\)
2
\(\frac{{15}}{{17 + 8\cos 2t}}\)
3
\(\frac{{15}}{{17 + 8\cos t}}\)
4
\(\frac{{15}}{{17 + 8\sin 2t}}\)