The signum function is given by
$sgn\left(x\right)=\left\{\begin{array}{l}\frac{x}{\left|x\right|};x\ne 0\\ 0;x=0\end{array}\right.$
The Fourier series expansion of sgn(cos(t)) has
Let $g:[0,\infty )\to :[0,\infty )$ be a function defined by $g\left(x\right)=x-\left[x\right]$, where $\left[x\right]$ represents the integer part of x. (That is, it is the largest integer which is less than or equal to x). The value of the constant term in the Fourier series expansion of $g\left(x\right)$ is _______
The fourier series expansion $\style{font-size:18px}{f\left(t\right)=a_0+\sum\limits_{n=1}^\infty a_n\cos n\omega t+b_n\sin n\omega t}$ of the periodic signal shown below will contain the following nonzero terms
The second harmonic component of the periodic waveform given in the figure has an amplitude of
The Fourier Series coefficient, of a periodic signal x(t), expressed as $\style{font-size:18px}{x\left(t\right)={\textstyle\sum\limits_{k=-\infty}^\infty}a_ke^{\mathrm j2\mathrm{pkt}/\mathrm T}}$ are given by a_{-2} = 2 - j1; a_{-1 }= 0.5 + j0.2; a_{0 }= j2; a_{1} = 0.5 + j0.2; a_{2 }= 2 + j1; and ${a}_{k}=0;for\left|k\right|2$. Which of the following is true?
Let x(t) be a periodic signal with time period T,Let y(t)=x(t-t_{0})+x(t+t_{0}) for some t_{0}.The Fourier Series coefficients of y(t) are denoted by b_{k}. if b_{k}=0 for all odd k,then t_{0} can be equal to
A signal x(t) is given by $x\left(t\right)=\left\{\begin{array}{lc}1,& -T/4<t\le 3T/4\\ -1,& 3T/4<t\le 7T/4\\ -x\left(t+T\right)& \end{array}\right.$
Which among the following gives the fundamental Fourier term of x(t)?