Fourier Series and Transforms
Fourier Series and Transforms, a software and text package, complements standard textbooks and lecture courses by providing a solid overview of the topic. The software provides more extensive illustrations than a conventional text with interactive programs that have been designed to be open to modifications. The emphasis on qualitative aspects and flexibility with regard to program modification make the package useful to a wide range of students. The book assumes some mathematical expertise as well as basic computer language knowledge.
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The FFT Algorithm
Program Users Notes Apple Pascal Version
Acornsoft Apple PASCAL array F axis BBC Micro BBC Microcomputer blobs calculated Call FNopt Coeff coefficients Cr colour combination of harmonics complex numbers constant cosine default defined DFT2 disc discrete Fourier transform Display obtained END OF FUNCTION END OF PROCEDURE equation evaluate exactly example exponential exponential decay factor FFTSTUFF FFTUNIT finite number FNY(X Fourier series coefficients FSBOTH FSSIN fundamental frequency fundamental period graph harmonic frequencies imaginary infinite integer inverse jumps limit Line numbers refer line plot modified Fourier multiple negative frequency Notice number of sample obtained from FSCOS odd function on-off function periodic function periodised points per period PRINT procedure to set program DFT program FSCOS Program SAMPLE2 prompt real numbers result run FOURIER sample points sample values sampling frequency sampling interval sampling rate screen resolution set of values space or return Stop or Repeat switch symmetry triangle function Try M,T verify mode whole number XCROSS XLOW