fourier's theorem 5

Question 1

what does the fundamental frequency depend on?

Answer 1

• the length of the string

- the velocity of the wave on the string

Question 2

in vibrating columns of air, the various frequencies for which standing waves can be set up depend on?

Answer 2

• the type of pipe (close=odd harm. open=all harm.)
• the length of air column
• the veolocity of sound in air

Question 3

what are the frequencies of an air column?

Answer 3

natural, characteristic or resonant

Question 4

what are the 2 ways an object can be made to vibrate at its resonant frequency (natural)

Answer 4

• by means of an impulse vibration (eg. sharp air blasts)

- if there is an external vibration which has a frequency equal to the resonant frequency of an object

Question 5

gain

Answer 5

relative increase in amplitude produced by the system

Question 6

bandwidth

Answer 6

frequency width at gain=1/2G (max)

half of max. gain

Question 7

resonant frequency (F)o=?

Answer 7

frequency at which gain is a maximum!

Question 8

what are the characteristics of a . simple response curve?

Answer 8

gain
BW
resonant frequency (fo)

Question 9

fourier’s theorem?

Answer 9

a complex wave=the sum of many simple sine waves

Question 10

what happens to non-sinusoidal waves of the same frequency and amplitude yet with different wave forms?

Answer 10

they still often sound the same asm we don’t take into consideration differences in the phase relationship of their wave components.
- we only generally consider the ‘amplitude frequency spectrum’ not the phase

Question 11

periodic speech waves consist of

Answer 11

• a fundamental frequency (lowest frequency)

- and many other components of higher frequency (harmonics)

Question 12

non periodic (Aperiodic) speech waves

Answer 12

the components of the wave occur at all frequencies, rather than sections of fund. freq.
-this means we don’t draw a separate line for each component but just draw a curve of the height of the amplitude