Description Usage Arguments Value Author(s) See Also Examples
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.
1 | MakeRespSP(h, omega0, Sense, f_Sense = NULL)
|
h |
Damping coefficient (unitless, 1 for critical damping) |
omega0 |
Natural angular frequency (rad/s) |
Sense |
Sensitivity in passband (V * s/m) |
f_Sense |
If given, the frequency (Hz) at which Sense is valid. If NULL (which should ordinarily be the case), Sense is assumed to be valid at frequencies much higher than the low corner. |
List including the following elements:
Sense |
Sensitivity of instrument (V * s/m) |
Knorm |
Normalization constant |
poles |
Poles of Laplace transform of instrument impulse response (rad/s) |
np |
Number of poles |
zeros |
Zeros of Laplace transform of instrument impulse response (rad/s) |
nz |
Number of zeros |
Jake Anderson
GetPZ ReadInstr
1 2 3 4 5 | # L4C3D
omega0 = 2*pi # 1 Hz natural frequency * 2pi
h = 0.707
Sense = 171
MakeRespSP(h, omega0, Sense)
|
Loading required package: signal
Attaching package: 'signal'
The following objects are masked from 'package:stats':
filter, poly
Loading required package: RSEIS
Loading required package: pracma
Attaching package: 'pracma'
The following objects are masked from 'package:RSEIS':
detrend, hypot, logspace, peaks, trapz
The following objects are masked from 'package:signal':
conv, ifft, interp1, pchip, polyval, roots
Attaching package: 'TDD'
The following object is masked from 'package:RSEIS':
ReadInstr
$Sense
[1] 171
$poles
[1] -4.442212-4.443554i -4.442212+4.443554i
$np
[1] 2
$zeros
[1] 0 0
$nz
[1] 2
$Knorm
[1] 1
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