Integral Transforms
14 questions across 2 topics.
Laplace Transform
- 92A causal exponentially-weighted function — Fourier transform equals a Laplace transformMSET September 2021Laplace TransformMedium
- 92The Laplace transform of the zero-order Bessel functionMSET December 2020Laplace TransformEasy
- 94The convolution theorem for Laplace transformsMSET December 2020Laplace TransformEasy
- 92The second shifting theorem for Laplace transformsMSET June 2019Laplace TransformEasy
- 69Differentiating a Laplace transform multiplies by -tMSET January 2018 Paper IIILaplace TransformEasy
- 70A convolution equation: X(s)=(s^2+1)/(s^2(s+1))MSET January 2018 Paper IIILaplace TransformMedium
- 69First shifting theoremMSET April 2017 Paper IIILaplace TransformEasy
- 70LJ0=1/sqrts^2+1, so J0J0 has transform 1/(s^2+1)MSET April 2017 Paper IIILaplace TransformMedium
Fourier Transform
- 93Fourier transform of a time-shifted functionMSET September 2021Fourier TransformEasy
- 66The cosine Fourier series for the even function xMSET December 2020Fourier TransformHard
- 93The Fourier cosine transform of a Gaussian is another GaussianMSET December 2020Fourier TransformEasy
- 93The Fourier sine transform of e^-at/tMSET June 2019Fourier TransformEasy
- 71Modulation: cos at splits the spectrum into shifts pm aMSET January 2018 Paper IIIFourier TransformEasy
- 71The Fourier transform of e^-as is a Cauchy-type kernelMSET April 2017 Paper IIIFourier TransformMedium