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The discrete time Fourier series representation of a signal x[n] with period N is written as $$x[n] = \sum\nolimits_{k =... GATE EE 2022 Consider$$$g\left(t\right)=\left\{\begin{array}{l}t-\left\lfloor t\right\rfloor,\\t-\left\lceil t\right\rceil,\end{arra... GATE EE 2017 Set 1 For a periodic square wave, which one of the following statements is TRUE? GATE EE 2014 Set 1 The fourier series expansion $$f\left(t\right)\;=\;a_0\;+\;\sum_{n=1}^\infty a_n\cos\;n\omega t\;+\;b_n\sin\;n\omega t... GATE EE 2011 The period of the signal$$x\left(t\right)=8\sin\left(0.8\mathrm{πt}+\frac{\mathrm\pi}4\right)$$is GATE EE 2010 The second harmonic component of the periodic waveform given in the figure has an amplitude of ... GATE EE 2010$$x(t)$$is a real valued function of a real variable with period$$T.$$Its trigonometric. Fourier Series expansion con... GATE EE 2006 The RMS value of the voltage v(t) = 3 + 4cos(3t) is GATE EE 2005 What is the$$rms$$value of the voltage waveform shown in Fig? ... GATE EE 2002 Fourier Series for the waveform,$$f(t)$$shown in Fig. is ... GATE EE 2002 A periodic rectangular signal,$$x(t)$$has the waveform shown in Figure. Frequency of the fifth harmonic of its spectr... GATE EE 1996 The$$rms$$value of the periodic waveform$$e(t),$$shown in figure is ... GATE EE 1995 ## Marks 2 More Let the signal$$$x\left(t\right)=\sum_{k=-\infty}^{+\infty}\left(-1\right)^k\delta\left(t-\frac k{2000}\right)$$be pa... GATE EE 2017 Set 1 The signum function is given by$$$\mathrm{sgn}\left(\mathrm x\right)=\left\{\begin{array}{l}\frac{\mathrm x}{\left|\mat... GATE EE 2015 Set 1 The Fourier Series coefficients, of a periodic signal $$x\left( t \right),$$ expressed as $$x\left( t \right) = \sum {_{... GATE EE 2009 Let x(t) be a periodic signal with time period T. Let y(t) = x(t - t0) + x(t + t0) for some t0. The Fourier Series coeff... GATE EE 2008 A signal$$x(t)$$is given by$$x\left( t \right) = \left\{ {\matrix{ {1, - {\raise0.5ex\hbox{$\scriptstyle T$} \ker... GATE EE 2007 For the triangular waveform shown in the figure, the $$RMS$$ value of the voltage is equal to ... GATE EE 2005 The Fourier series for the function f(x) = sin2 x is GATE EE 2005 The $$rms$$ value of the periodic waveform given in Fig. is ... GATE EE 2004 The rms value of the resultant current in a wire which carries a dc current of 10 A and a sinusoidal alternating current... GATE EE 2004 ## Marks 5 More Consider the voltage waveform $$V,$$ shown in Fig. Find. $$(a)$$$$\,\,\,\,\,\,\,\,$$ the dc component of $$V,$$$\$(b...
GATE EE 2001
Compute the amplitude of the fundamental component of the waveform given in figure. ...
GATE EE 1997

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