Polar2cartesian.m - Revision history

Kuprov: Update function See also links and function index membership

2026-06-06T18:39:52Z

Update function See also links and function index membership

Kuprov: Rename Arguments section heading to Parameters

2026-06-05T17:51:09Z

Rename Arguments section heading to Parameters

Kuprov: Normalise sequential blank lines

2026-04-25T11:28:25Z

Normalise sequential blank lines

Kuprov at 15:11, 18 July 2019

2019-07-18T15:11:29Z

Kuprov at 15:11, 18 July 2019

2019-07-18T15:11:13Z

Kuprov: Created page with "Converts [RF_amplitude, RF_phase] representation of a pulse waveform and the derivatives of any function with respect to those amplitudes and pha- ses into the [RF_x, RF_y] re..."

2016-01-16T17:21:28Z

Created page with "Converts [RF_amplitude, RF_phase] representation of a pulse waveform and the derivatives of any function with respect to those amplitudes and pha- ses into the [RF_x, RF_y] re..."

New page

Converts [RF_amplitude, RF_phase] representation of a pulse waveform and
the derivatives of any function with respect to those amplitudes and pha-
ses into the [RF_x, RF_y] representation and the derivatives of the func-
tion with respect to those X and Y RF values. Syntax:

[x,y,df_dx,df_dy]=polar2cartesian(A,phi,df_dA,df_dphi)

Parameters:

A - vector of waveform amplitudes

phi - vector of waveform phases

df_dA - optional vector of derivatives of some scalar function
with respect to the waveform amplitudes.

df_dphi - optional vector of derivatives of some scalar function
with respect to the waveform phases.

d2f_dA2 - matrix of second derivatives of the function with respect
to the waveform amplitudes.

d2f_dAdphi- matrix of second derivatives of the function with respect
to the waveform amplitudes and phases.

d2f_dphi2- matrix of second derivatives of the function with respect
to the waveform phases.

Outputs:

x - vector of waveform amplitudes along X

y - vector of waveform amplitudes along Y

df_dx - vector of derivatives of the function with respect to
the waveform amplitudes along X

df_dy - vector of derivatives of the function with respect to
the waveform amplitudes along Y

d2f_dx2 - optional matrix of second derivatives of a scalar function
with respect to the waveform amplitudes along X

d2f_dxdy- optional matrix of second derivatives of a scalar function
with respect to the waveform amplitudes along X and Y

d2f_dy2 - optional matrix of second derivatives of a scalar function
with respect to the waveform amplitudes along Y

@@ Line 55: / Line 55: @@
 ==See also==
-[[cartesian2polar.m]], [[shaped_pulse_xy.m]], [[shaped_pulse_af.m]]
+[[cartesian2polar.m]], [[shaped_pulse_xy.m]], [[shaped_pulse_af.m]], [[bruker_write.m]], [[chirp_pulse.m]], [[grad_pulse.m]], [[grad_sandw.m]], [[pmlg5.m]], [[pulse_shape.m]], [[read_wave.m]], [[restrans.m]], [[rseq_compiler.m]], [[rsequence.m]], [[sawtooth.m]], [[sech_pulse.m]], [[spinal.m]], [[triwave.m]], [[vg_pulse.m]], [[wave_basis.m]], [[Kernel_functions]]
 ''Version 2.4, authors: [[David Goodwin]], [[Ilya Kuprov]]''

@@ Line 6: / Line 6: @@
       [x,y,Dx,Dy,Dxx,Dxy,Dyx,Dyy]=polar2cartesian(r,p,Dr,Dp,Drr,Drp,Dpr,Dpp)
-==Arguments==
+==Parameters==
      r    - vector of waveform amplitudes

@@ Line 56: / Line 56: @@
 ==See also==
 [[cartesian2polar.m]], [[shaped_pulse_xy.m]], [[shaped_pulse_af.m]]
 ''Version 2.4, authors: [[David Goodwin]], [[Ilya Kuprov]]''

← Older revision		Revision as of 15:11, 18 July 2019
Line 1:		Line 1:
−	{{DISPLAYTITLE:~~function~~.m}} __NOTOC__	+	{{DISPLAYTITLE:polar2cartesian.m}} __NOTOC__
	Converts [RF_amplitude, RF_phase] representation of a pulse waveform and the derivatives of any function with respect to those amplitudes and phases into the [RF_x, RF_y] representation and the derivatives of the function with respect to those X and Y RF values.		Converts [RF_amplitude, RF_phase] representation of a pulse waveform and the derivatives of any function with respect to those amplitudes and phases into the [RF_x, RF_y] representation and the derivatives of the function with respect to those X and Y RF values.

@@ Line 1: / Line 1: @@
-Converts [RF_amplitude, RF_phase] representation of a pulse waveform and
+{{DISPLAYTITLE:function.m}} __NOTOC__
-the derivatives of any function with respect to those amplitudes and pha-
+Converts [RF_amplitude, RF_phase] representation of a pulse waveform and the derivatives of any function with respect to those amplitudes and phases into the [RF_x, RF_y] representation and the derivatives of the function with respect to those X and Y RF values.
-         [x,y,df_dx,df_dy]=polar2cartesian(A,phi,df_dA,df_dphi)
+==Syntax==
-Parameters:
+     [x,y,Dx,Dy,Dxx,Dxy,Dyx,Dyy]=polar2cartesian(r,p,Dr,Dp,Drr,Drp,Dpr,Dpp)
-    A       - vector of waveform amplitudes
+==Arguments==
-     phi     - vector of waveform phases
+     r    - vector of waveform amplitudes
-    df_dA   - optional vector of derivatives of some scalar function
+==Outputs==
-     df_dphi - optional vector of derivatives of some scalar function
+     x    - vector of waveform amplitudes along X
-              with respect to the waveform phases.
-    d2f_dA2 - matrix of second derivatives of the function with respect
+==See also==
-              to the waveform amplitudes.
+[[cartesian2polar.m]], [[shaped_pulse_xy.m]], [[shaped_pulse_af.m]]
-   d2f_dphi2- matrix of second derivatives of the function with respect
+''Version 2.4, authors: [[David Goodwin]], [[Ilya Kuprov]]''