When shape selection is Expression with 5 parameters, the pulse shape will be generated from the provided expression.

Variables and functions are complex. Calculations are performed with time resolution provided by AWG. IMPORTANT: Trigonometric functions are defined in fractions of 2*pi, not radians, e.g. sin(0.25) = 1. Hyperbolic functions have standard definitions.

Built-in variables

• t — absolute time within pulse sequence (vector)
• t0 — time from the beginning of the pulse (vector)
• tp — pulse length (scalar)
• j — complex unit (0 + 1j, scalar)
• par1 … par5 — parameters specified in PPL (scalars)

Built-in functions

• cos(x) — cos(2*pi*x) cosine
• sin(x) — sin(2*pi*x) sine
• tan(x) — tan(2*pi*x) tangent
• sec(x) — sec(2*pi*x) secant
• exp(x) — exp(2*pi*x) complex exponent (use exp(j*t*f) syntax for IQ)
• cosh(x) — cosh(x) hyperbolic cosine
• sinh(x) — sinh(x) hyperbolic sine
• tanh(x) — tanh(x) hyperbolic tan
• sech(x) — sech(x) hyperbolic sec
• exph(x) — exp(x) complex exponent (2*pi factor is not used)
• gaussian(x,x0,w) — Gaussian with width w centered at x0
• sinc(x,x0,l) — sinc with first lobe at 2/l centered at x0

Example:

exp(j*par1*t) * sin(0.5*t0/tp) - IQ RF pulse sin(par1*t) * gaussian(t0, 0.5*tp, 0.1*tp) - gaussian RF pulse

See also:

PPL and Pulse Engine