scipy tutorial - Baustatik-Info-Server

SciPy Reference Guide, Release 0.8.dev
axis
The transform is applied along the given axis of the input array (or the newly constructed array if n
argument was used).
overwrite_x
If set to true, the contents of x can be destroyed.
Notes:
y == rfft(irfft(y)) within numerical accuracy.
irfft(x, n=None, axis=-1, overwrite_x=0)
irfft(x, n=None, axis=-1, overwrite_x=0) -> y
Return inverse discrete Fourier transform of real sequence x. The contents of x is interpreted as the output of
rfft(..) function.
The returned real array contains
[y(0),y(1),...,y(n-1)]
where for n is even
y(j) = 1/n (sum[k=1..n/2-1] (x[2*k-1]+sqrt(-1)*x[2*k])
and for n is odd
• exp(sqrt(-1)*j*k* 2*pi/n)
• c.c. + x[0] + (-1)**(j) x[n-1])
y(j) = 1/n (sum[k=1..(n-1)/2] (x[2*k-1]+sqrt(-1)*x[2*k])
• exp(sqrt(-1)*j*k* 2*pi/n)
• c.c. + x[0])
c.c. denotes complex conjugate of preceeding expression.
Optional input: see rfft.__doc__
3.3.2 Differential and pseudo-differential operators
diff(x[, order, period, _cache]) diff(x, order=1, period=2*pi) -> y
tilbert(x, h[, period, _cache]) tilbert(x, h, period=2*pi) -> y
itilbert(x, h[, period, _cache]) itilbert(x, h, period=2*pi) -> y
hilbert(x[, _cache]) hilbert(x) -> y
ihilbert(x) ihilbert(x) -> y
cs_diff(x, a, b[, period, _cache]) cs_diff(x, a, b, period=2*pi) -> y
sc_diff(x, a, b[, period, _cache]) sc_diff(x, a, b, period=2*pi) -> y
ss_diff(x, a, b[, period, _cache]) ss_diff(x, a, b, period=2*pi) -> y
cc_diff(x, a, b[, period, _cache]) cc_diff(x, a, b, period=2*pi) -> y
shift(x, a[, period, _cache]) shift(x, a, period=2*pi) -> y
diff(x, order=1, period=None, _cache={})
diff(x, order=1, period=2*pi) -> y
170 Chapter 3. Reference