# restrans.m

RLC circuit response calculation - converts a waveform from the ideal shape emitted by the instrument into the shape that comes out of the RLC circuit of the probe.

## Syntax

[X,Y,X0,Y0,dt]=restrans(X_user,Y_user,dt_user,omega,Q,model)

## Arguments

X_user - in-phase part of the rotating frame pulse waveform, a column vector of real numbers Y_user - out-of-phase part of the rotating frame pulse waveform, a column vec- tor of real numbers dt_user - time slice duration, seconds omega - RLC circuit resonance frequency in radians per second, a real number Q - RLC circuit quality factor, a real positive number model - input signal model, use 'pwc' for piecewise-constant, and 'pwl' for piecewise-linear input

## Outputs

X - in-phase part of the rotating frame pulse waveform distorted by the RLC response, a column vector of real numbers Y - out-of-phase part of the rotating frame pulse waveform distorted by the RLC response, a column vector of real numbers X0 - in-phase part of the input waveform on the same time grid as the distor- ted waveform, a column vector of real numbers X0 - out-of-phase part of the input wave- form on the same time grid as the distorted waveform, a column vector of real numbers dt - slice duration in the distorted wave- form, seconds

## Examples

The following output is produced by **fundamentals/restrans_test.m** example file:

It illustrates the fact that 15N pulses are more sensitive to RLC circuit disortions than 1H pulses in a 14.1 Tesla magnet.

## See also

*Version 2.7, authors: Uluk Rasulov, Ilya Kuprov*