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Transforms Terms

DFT, FFT (radix-2, mixed-radix), IFFT, DCT, Hilbert transform, Z-transform, Laplace, wavelet transforms, STFT, chirp Z-transform.

9 terms in this category.

D F H I S W Z
D
  • DCT The Discrete Cosine Transform (DCT) is a linear transform that expresses a finite sequence of data points as a sum of cosine functions oscil...
  • DFT The Discrete Fourier Transform (DFT) decomposes a finite sequence of equally spaced samples into a sum of complex sinusoids, producing a fre...
F
H
  • Hilbert Transform The Hilbert transform is a linear operator that phase-shifts every frequency component of a real signal by 90 degrees (pi/2 radians), produc...
I
  • IFFT The Inverse Fast Fourier Transform (IFFT) is an efficient algorithm that converts a frequency-domain representation back into a time-domain ...
S
  • STFT The Short-Time Fourier Transform (STFT) is a technique that applies the Discrete Fourier Transform (DFT) repeatedly to short, overlapping se...
W
  • Wavelet Transform The wavelet transform decomposes a signal into components localized in both time (or space) and scale (which relates to frequency, though th...
Z
  • Z-Transform The Z-transform converts a discrete-time signal (a sequence of samples) into a complex-frequency-domain representation, expressed as a funct...
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