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7 Appendix: Quantity- / Unit Symbols and Important Constants

Name of Quantity

Symbol

Domain / Value

Unit

Unitsymbol

Fourier-transformed of

the signal fw(t)

Fw(f)

ℝ

Pulse width in the time

domain

T

ℝ

second

s

Pulse width in the fre-

quency domain

B

ℝ

Hertz

Hz

Measure for the width of

a Gaussian window

σ

ℝ

Impulse function in the

time domain

i(t)

ℝ

Impulse function in the

frequency domain

I(f)

ℝ

Low-frequency signal of

the DWT of the i-th level

XAi

ℝ

High-frequency signal of

the DWT of the i-th level

XDi

ℝ

Impulse responses of

the analogue and digital

signal in the impulse

invariance method

gan(t), gdi(n)

ℝ

z- transformed of

gan(t), gdi(n)

Gan(t), Gdi(n)

ℝ

Impulse responses of a

RC-circuit

gRC(t)

ℝ

chapter 6

Power density spectrum

Φ

Auto-correlation function

ϕ

Median frequency

fmean

ℝ

Hertz

Hz

Intensity

I

ℝ

Watt/

meter²

W/m²

Absorption coefficient

α

ℝ

1/meter

1/m

Wavelength

λ

ℝ

1/meter

1/m

Molar extinction coeffi-

cient

ϵ

ℝ

liter

Mol ⋅centimeter

l⋅Mol⁻¹⋅cm⁻¹