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sunnyfad
which one is superceed the other? laplace or Fourier transform
Depends on use. Laplace is a time domain transformation Fourier is a frequency domain transformation
IN LAPLACE TRANSFORM THERE IS CONCEPT OF REGION OF CONVERGENCE BUT IN FOURIER TRANSFORM THERE IS NO CONCEPT OF REGION OF CONVERGENCE. AS S=(SIGMA +JW) IN LAPLACE TRANSFORM BUT IN FOURIER TRANSFORM WE PUT SIGMA=0(THIS IS THE MOST IMPORTANT DIFFERENCE) .REGION OF CONVERGENCE IS VALUE OF SIGMA FOR WHICH LAPLACE INTEGRAL CONVERGES.THIS IS THE MAIN ADVANTAGE OF LAPLACE TRANSFORM OVER FOURIER TRANSFORM