TDD (version 0.1)

MakeRespSP: Calculate Poles and Zeros of Short-Period Sensor

Description

Many mechanical short-period seismometers are characterized by three parameters: the natural angular frequency (omega naught), damping coefficient (h), and sensitivity. The response of these sensors to a velocity impulse has two poles and two zeros; the response is zero at the origin, increases roughly proportionately with f^2 up to a low corner, and is flat above the low corner.

The differential equation describing this, where y is the output voltage and v is the velocity of the ground, is

y'' + 2*h*omega_0*y' + omega_0^2*y = Sense * v'' Some short-period sensors are customizable, so it is very important to make sure you use the correct parameters for your installation here.

Usage

MakeRespSP(h, omega0, Sense, f_Sense = NULL)

Value

List including the following elements:SenseSensitivity of instrument (V * s/m)KnormNormalization constantpolesPoles of Laplace transform of instrument impulse response (rad/s)npNumber of poleszerosZeros of Laplace transform of instrument impulse response (rad/s)nzNumber of zeros

See Also

GetPZ ReadInstr

Examples

# L4C3D
omega0 = 2*pi # 1 Hz natural frequency * 2pi
h = 0.707
Sense = 171
MakeRespSP(h, omega0, Sense)