Q4. A public Address system (PA system) is an electronic sound amplification system which ha a microphone, amplifier and loudspeakers. In the amplifier, the sound signal will be injected inte an adjustable filter bank so that the amplifier can only respond to either low frequency (bass), medium frequency (voice) or high frequency (treble) as shown in Figure Q3. H(w) Table Q3 Sound Type Frequency Range 20HZ – 250HZ 300HZ -- 4kHz 6kHz – 20kHz Bass Bass Voice Voice Treble Treble Figure Q3 If the input signal x(t) = cos400nt + cos2000nt + cos12000nt, find the Fourie Transform of x(t) and sketch its amplitude spectrum

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Q4. A public Address system (PA system) is an electronic sound amplification system which has
a microphone, amplifier and loudspeakers. In the amplifier, the sound signal will be injected into
an adjustable filter bank so that the amplifier can only respond to either low frequency (bass),
medium frequency (voice) or high frequency (treble) as shown in Figure Q3.
H(»)
Table Q3
Bass
Sound Type
Frequency Range
Bass
20HZ -- 250HZ
x()-
Voice
Voice
300H - 4kHz
Treble
Treble
6kHz – 20kHz
Figure Q3
If the input signal x(t) = cos400nt + cos2000nt + cos12000nt, find the Fourier
Transform of x(t) and sketch its amplitude spectrum
Transcribed Image Text:Q4. A public Address system (PA system) is an electronic sound amplification system which has a microphone, amplifier and loudspeakers. In the amplifier, the sound signal will be injected into an adjustable filter bank so that the amplifier can only respond to either low frequency (bass), medium frequency (voice) or high frequency (treble) as shown in Figure Q3. H(») Table Q3 Bass Sound Type Frequency Range Bass 20HZ -- 250HZ x()- Voice Voice 300H - 4kHz Treble Treble 6kHz – 20kHz Figure Q3 If the input signal x(t) = cos400nt + cos2000nt + cos12000nt, find the Fourier Transform of x(t) and sketch its amplitude spectrum
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