Week 7 Frequency domain

1. Sinusoids and sound2. Sinusoids form a basis for periodic functions3. Sinusoids used in signal compression4. Sinusoids used in FCC regulations5. Sinusoids and LTI systems

Notes/frequency domain/frequencies

Notes/frequency domain/musical scale

Notes/frequency domain/phase

Notes/frequency domain/images

1. Basis for periodic signals

Fourier Series of f

Discrete Fourier Series of f

20 1 3 4n

Topics/FrequencyDomain/FSExamples

Topics/FrequencyDomain/DFSExamples

2. Sinusoids in signal compression

3. FCC regulations

The FCC allocates the (electromagnetic) spectrumto various uses according to this chart

for a more complete picture see sidebars/radio/freq

The AM radio band are in the range 535-1705 kHzCarriers are separated by 10kHZ, 540kHz, 550kHz, ..

The FM radio band are in the range 88-108 MHzCarriers are separated by 0.2MHz, 88.1MHz, 88.3MHz, ..

Analog TV channels occupy 6 MHz of bandwidthch2-4, 54-72MHz; 5-6, 76-88MHz; ch7-13, 174-216MHz