60
Dynamics
of
the
Vascular System
40
30
20
10
(3.2.3
0)
i
2
3
4
5
6
7
8
9
10
Hmmic
12
3
4
5
6
7
8
9
10
wmpnic
Fig.
3.2.3:
Harmonic
magnitudes of an aortic pressure pulse and
an
aortic
flow
pulse.
3.2.4
Other Aspects
of
Frequency
Domain
Analysis
3.2.4.1 Dirichlet Conditions
We have assumed that in the forgoing discussions that the periodic
function, and the pressure and flow waveforms can be represented by the
Fourier series. In general, there is a convergence requirement that is
known as the Dirichlet Conditions, under which
a Fourier series
representation of a function f(t) is possible. The Dirichlet conditions are
as follows:
(1)
the function f(t) has a finite number of discontinuities in one
(2)
the function f(t) has a finite number of maxima and minima in
(3)
the function f(t) is absolutely integrable over
a
period.
period
one period
The function is said to be piecewise continuous in the finite interval T if
conditions (1) and
(2)
are satisfied.
