7 Appendix: Quantity- / Unit Symbols and Important Constants

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293

Name of Quantity

Symbol

Domain / Value

Unit

Unitsymbol

Auto-covariance for

RXX(ti, τj) averaged over

ti

CXX(j)

ℝ

Discrete-time function

f(n)

ℝ

Discrete-time Fourier-

transform of f(n)

FD(m)

ℂ

Mathematical operator

applied to x(n)

T{x(n)}

ℝ

Discrete Dirac pulse

δ(n)

ℝ

Discrete pulse response

g(n)

ℝ

Fourier-transform of g(n)

G(m)

ℝ

Discrete transfer matrix

G

ℝ

Circular matrix with

gp(n)

Zykl{gp}

ℝ

Triangular matrix with

g(n)

Dr{g}

ℝ

Discrete Dirac-pulse

sequence

δp(n)

ℝ

Discrete pulse response

gp(n)

ℝ

Number of values per

period of a periodic se-

quence

Np

ℝ

Discrete sequence

x(n), y(n)

ℝ

Number sequence at

node i of a digital filter

wi

ℝ

Filter coefficients of a

digital filter

ci, di

ℝ

Multiplier coefficient of a

digital filter

K

ℝ

Discrete-time Fourier-

transform of x(n), y(n)

X(n), Y(n)

ℝ

Time-dependent window

function

w(t)

ℝ

Fourier-transformed of

the window function w(t)

W(f)

ℝ

Inverse window function

of w(t)

h(t)

ℝ

Fourier-transformed

of the inverse window

function h(t)

H(f)

ℝ

Signal faded out with the

window function w(t)

fw(t)

ℝ