Discrete Fourier transforms (scipy.fftpack)¶
Fast Fourier Transforms (FFTs)¶
| fft(x[, n, axis, overwrite_x]) | Return discrete Fourier transform of real or complex sequence. |
| ifft(x[, n, axis, overwrite_x]) | Return discrete inverse Fourier transform of real or complex sequence. |
| fft2(x[, shape, axes, overwrite_x]) | 2-D discrete Fourier transform. |
| ifft2(x[, shape, axes, overwrite_x]) | 2-D discrete inverse Fourier transform of real or complex sequence. |
| fftn(x[, shape, axes, overwrite_x]) | Return multidimensional discrete Fourier transform. |
| ifftn(x[, shape, axes, overwrite_x]) | Return inverse multi-dimensional discrete Fourier transform of arbitrary type sequence x. |
| rfft(x[, n, axis, overwrite_x]) | Discrete Fourier transform of a real sequence. |
| irfft(x[, n, axis, overwrite_x]) | Return inverse discrete Fourier transform of real sequence x. |
| dct(x[, type, n, axis, norm, overwrite_x]) | Return the Discrete Cosine Transform of arbitrary type sequence x. |
| idct(x[, type, n, axis, norm, overwrite_x]) | Return the Inverse Discrete Cosine Transform of an arbitrary type sequence. |
| dst(x[, type, n, axis, norm, overwrite_x]) | Return the Discrete Sine Transform of arbitrary type sequence x. |
| idst(x[, type, n, axis, norm, overwrite_x]) | Return the Inverse Discrete Sine Transform of an arbitrary type sequence. |
Differential and pseudo-differential operators¶
| diff(x[, order, period, _cache]) | Return k-th derivative (or integral) of a periodic sequence x. |
| tilbert(x, h[, period, _cache]) | Return h-Tilbert transform of a periodic sequence x. |
| itilbert(x, h[, period, _cache]) | Return inverse h-Tilbert transform of a periodic sequence x. |
| hilbert(x[, _cache]) | Return Hilbert transform of a periodic sequence x. |
| ihilbert(x) | Return inverse Hilbert transform of a periodic sequence x. |
| cs_diff(x, a, b[, period, _cache]) | Return (a,b)-cosh/sinh pseudo-derivative of a periodic sequence. |
| sc_diff(x, a, b[, period, _cache]) | Return (a,b)-sinh/cosh pseudo-derivative of a periodic sequence x. |
| ss_diff(x, a, b[, period, _cache]) | Return (a,b)-sinh/sinh pseudo-derivative of a periodic sequence x. |
| cc_diff(x, a, b[, period, _cache]) | Return (a,b)-cosh/cosh pseudo-derivative of a periodic sequence. |
| shift(x, a[, period, _cache]) | Shift periodic sequence x by a: y(u) = x(u+a). |
Helper functions¶
| fftshift(x[, axes]) | Shift the zero-frequency component to the center of the spectrum. |
| ifftshift(x[, axes]) | The inverse of fftshift. |
| fftfreq(n[, d]) | Return the Discrete Fourier Transform sample frequencies. |
| rfftfreq(n[, d]) | DFT sample frequencies (for usage with rfft, irfft). |
Note that fftshift, ifftshift and fftfreq are numpy functions exposed by fftpack; importing them from numpy should be preferred.
Convolutions (scipy.fftpack.convolve)¶
| convolve(x,omega,[swap_real_imag,overwrite_x]) | Wrapper for convolve. |
| convolve_z(x,omega_real,omega_imag,[overwrite_x]) | Wrapper for convolve_z. |
| init_convolution_kernel(...) | Wrapper for init_convolution_kernel. |
| destroy_convolve_cache() | Wrapper for destroy_convolve_cache. |