Title: Die Etymologie
1Die Etymologie
specere aussehen
Spektrum
Sir Isaac Newton
The new theory About Light and Colour (1672)
2Sir Isaac Newton
His claim to fame is Newtons three laws of
motion, discovering the spectrum of light,
inventing calculus, and discovering the universal
law of gravitation. Due to his work in classical
mechanics, the subject is often called Newtonian
mechanics. As a child, Isaac was not viewed as a
bright student by his teachers, who described him
as idle and inattentive. Newton obtain a law
degree from his uncle's old College. In the
summer of 1665 and he was forced to return to
Lincolnshire because the University closed due to
the plague. It was at this time that Newtons
true scientific genius would emerge. During his
two year stay at home he would make revolutionary
advances in mathematics, optics, physics, and
astronomy. Newton invented the reflecting
telescope. Newtons greatest achievements were
his work in motion and celestial mechanics, which
ultimately led to theory of universal
gravitation. In 1705, he was the first scientist
ever knighted in honor of his discoveries.
3Goethe
"Das Auge hat sein Dasein dem Licht zu
danken. Aus gleichgültigen tierischen
Hülfsorganen ruft sich das Licht ein Organ
hervor, das seines gleichen werde und so bildet
sich das Auge am Lichte fürs Licht, damit das
innere Licht dem äußeren entgegentrete."
4Der Sinus
T 40ms
T Periode F Frequenz
F1/T25 Hz
5Die Schallwellen
E165 Hz
A220 Hz
B
C
D
E
F
G
A
B
C
D
E
F
G
A
B
C
D
E
6Der Zeitbereich
7Der Betrag in dem Zeitbereich
8Der Aufbau des Ohrs
Hammer, Amboß und Steigbügel
Trommelfell
9Die Gehörknöchelchen
Der Amboß
Der Hammer
Der Hammer nimmt die Impulse auf leitet sie über
den Amboß weiter und der Steigbügel überträgt sie
auf das ovale Fenster
Die Steigbügel
Quelle http//www.bartleby.com/107/
10Der Aufbau des Ohrs
11Die Cochlea
Quelle http//www.bartleby.com/107/
12Die geöffnete Cochlea
Die Paukentreppe
Die Vorhoftreppe
Quelle http//www.bartleby.com/107/
13Die Cochlea aufgerollt
Treppen
Bei hohen Tönen wird nur der dem Mittelohr nahe
Teil angeregt, bei niedrigen Tönen laufen die
Wellen bis in die Spitze. Es kommt zur räumlichen
Auftrennung der Tonhöhen
Niederfrequenzen
Hochfrequenzen
Länge 3 cm
Sinneszellen
14Frequenzbereich
Hz
Hz
15Warum ist der Frequenzbereich so wichtig?
1. Charakterisierung der Signale
Sprache
Shallwellen
Musik
Elektromagnetische Wellen
16Warum ist der Frequenzbereich so wichtig?
2. LTI Systeme
?
LTI
zeit
zeit
!!!
LTI
zeit
zeit
17France Baron Jean Baptiste Joseph Fourier
Born into a prominent family, he was trained for
priesthood however, Fourier turned to the life of
mathematics and the military. At only sixteen
years of age, Joseph became a mathematics teacher
at the military school in Auxerre. When he was
27, he began working at the Ecole Normale in
Paris. Three years later, in 1798, he followed
Napoleon on his Eastern expedition and was given
the postion of governor of Lower Egypt. In 1801,
Fourier returned to France and was named prefect
of Grenoble. All the knowledge in the world
however, could not save him from the inevitable.
Fourier died in Paris on May 16, 1830.
18Fourier Reihe
...
19Signal Reconstruction I
1 Komponente
6 Komponenten
20Signal Reconstruction II
100 Komponente
Welche Bandbreite brauchen wir?
21Reihe Integral
22Filtrieren
Synthetischer Generator
Gitarre
Filter
23 Rembrandt, ANATOMY LESSON OF PROFESSOR NICOLAES
TULP (1632).
24Das Licht
25Das Auge
26Cones and Rods
By population, about 64 of the cones are
red-sensitive, about 32 green sensitive, and
about 2 are blue sensitive.