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Die EtymologieDie Etymologie

Spektrum specere = aussehen

“The new theory AboutLight and Colour (1672)“

Sir Isaac Newton

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His claim to fame is Newton’s 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 Newton’s 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.Newton’s 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.

Born: 1642

Died: 1727 (age 85)

Education: Physicist, Mathematician

First big contribution: 1665 (age 23)

Biggest contribution: 1966 (age 24)

Sir Isaac Newton

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GoetheGoethe

"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."

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Der SinusDer Sinus

T= 40ms

T: PeriodeF: Frequenz

F=1/T=25 Hz

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Die SchallwellenDie Schallwellen

A=220 Hz

E=165 Hz

B C D E F G A B C D E F G A B C D E

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Der ZeitbereichDer Zeitbereich

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Der Betrag in dem ZeitbereichDer Betrag in dem Zeitbereich

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Der Aufbau des OhrsDer Aufbau des Ohrs

Trommelfell

Hammer, Amboß und Steigbügel

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Die GehörknöchelchenDie Gehörknöchelchen

Quelle: http://www.bartleby.com/107/

Der Hammer

Der Amboß

Die Steigbügel

Der Hammer nimmt die Impulse auf leitet sie über den Amboß weiter und der Steigbügel überträgt sie auf das ovale Fenster

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Der Aufbau des OhrsDer Aufbau des Ohrs

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Die CochleaDie Cochlea

Quelle: http://www.bartleby.com/107/

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Die geöffnete CochleaDie geöffnete Cochlea

Quelle: http://www.bartleby.com/107/

Die Paukentreppe

Die Vorhoftreppe

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Die Cochlea aufgerolltDie Cochlea aufgerollt

Treppen

NiederfrequenzenHochfrequenzen

Länge: 3 cm

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

Sinneszellen

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Frequenzbereich Frequenzbereich

Hz

Hz

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Warum ist der Frequenzbereich so wichtig? Warum ist der Frequenzbereich so wichtig?

1. Charakterisierung der Signale

Sprache

MusikShallwellen

ElektromagnetischeWellen

           

                                          

 

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Warum ist der Frequenzbereich so wichtig? Warum ist der Frequenzbereich so wichtig?

2. LTI Systeme

LTI ?

LTI !!!

zeit zeit

zeit zeit

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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.

Born: 1768

Died: 1830 (age 62)

Education: Mathematician

First big contribution: 1820 (age 52)

Biggest contribution: 1822 (age 54)

France Baron Jean Baptiste Joseph Fourier

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Fourier Reihe Fourier Reihe

...

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Signal Reconstruction ISignal Reconstruction I1 Komponente

6 Komponenten

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Signal Reconstruction II Signal Reconstruction II

100 Komponente

Welche Bandbreite brauchen wir?

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Reihe Integral Reihe Integral

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Filtrieren Filtrieren

SynthetischerGenerator

SynthetischerGenerator

GitarreGitarre FilterFilter

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Rembrandt, ANATOMY LESSON OF PROFESSOR NICOLAES TULP (1632).

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Das LichtDas Licht

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Das AugeDas Auge

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Cones and Rods Cones and Rods

By population, about 64% of the cones are red-sensitive, about 32% green sensitive, and about 2% are blue sensitive.