Showing posts with label signal. Show all posts
Showing posts with label signal. Show all posts

Tuesday, December 30, 2008

Time-Domain Concepts

- Analog signal - signal intensity varies in a smooth fashion over time
 No breaks or discontinuities in the signal
- Digital signal - signal intensity maintains a constant level for some period of time and then changes to another constant level
- Periodic signal - analog or digital signal pattern that repeats over time
 s(t +T ) = s(t ) -¥<>
 where T is the period of the signal
- Aperiodic signal - analog or digital signal pattern that doesn't repeat over time
- Peak amplitude (A) - maximum value or strength of the signal over time; typically measured in volts
- Frequency (f )
 Rate, in cycles per second, or Hertz (Hz) at which
the signal repeats
- Period (T ) - amount of time it takes for one repetition of the signal
 T = 1/f
- Phase (f) - measure of the relative position in time within a single period of a signal
- Wavelength (l) - distance occupied by a single cycle of the signal
 Or, the distance between two points of corresponding phase of two consecutive cycles

Transmission Fundamentals, Analog and Digital Data, Channel Capacity, Multiplexing

Transmission Fundamentals, Analog and Digital Data, Channel Capacity, Multiplexing

1         Transmission Fundamentals,

First thing we will examine is the description of radio signals or the electromagnetic signal.

What is radio signal?

It is a function of time and frequency

This means there is a signal and this signal changes with frequency and time.

 

There is analog and digital signal.

 

Analog signal: no break or discontinuity, signal varies in a smooth fashion

Digital signal: signal intensity maintains a constant level for some period, and then changes to another constant level. Imagine 1 and 0 s.

 

Periodic signal: analog or digital signal pattern that repeats over time.

Aperiodic signal: doesn’t repeat over time

 

Peak amplitude: maximum value or strength of the signal

Frequency: rate, cycles per second, Hertz (Hz)

 

Period: amount of time it takes for one repetition of the signal

T=1/f

 

Phase: measure of the relative position in time within a single period of a signal.

 

Wavelength: distance occupied by a single cycle of the signal.

 

Drawings and mathlab examples:

 

t=0:0.01:1;

x=2*pi*t+0;

plot(t,sin(x)), grid on

>>  t=0:0.01:1;

x=2*pi*t+0;

plot(t,2*sin(x)), grid on

>>  t=0:0.01:1;

x=2*pi*2*t+0;

plot(t,2*sin(x)), grid on

>>   t=0:0.01:1;

x=2*pi*0.5*t+0;

plot(t,2*sin(x)), grid on

>>   t=0:0.01:4;

x=2*pi*0.25*t+0;

plot(t,sin(x)), grid on

>> t=0:0.01:4;

x=2*pi*0.25*t+90;

plot(t,sin(x)), grid on

 

 

 

 

1.2         Analog and Digital Data,

Analog: video, audio

Digital: text, integers

 

Analog signal: coninuously varying electromgnetic wave, can propogate analog and digital data

 

Digital signal: a sequence of voltage pulses, cheaper than analog signaling, less susceptiple to noise, suffer from attenuation..

 

Digital signals can propagate analog and digital data

 

Analog transmission---attenuation limits length of transmission link, amplifiers increase ranges..analog data can tolerate distortion, but digital data intruduces errors...

 

Digital transmission---attenuation endangers integrity of data, repeaters achieve greater distance, repeaters recover the signal and transmit

 

1.3         Channel Capacity,

the maximum data rate transmitted over a communication path, or channel.

 

Concepts:

Data rate: rate (bits per second)

Bandwidth: bandwidth of the transmitted signal constrained by the transmitter and the nature of the transmission medium. (hertz)

Noise:

Error rate:

 

1.4         Transmission media

Guided: wired—copper, fiber, coaxiel cables

unguided media---wireless transmission, antennas, directional, omnidirectional

 

 

 

 

 

 

 

 

 

1.5         Multiplexing

Carrying multiple signals on a single medium.

More efficient use of transmission medium


FDM –frequency-division multiplexing

TDM—time-division multiplexing

Wireless Comes of Age

 Guglielmo Marconi invented the wireless telegraph in 1896
 Communication by encoding alphanumeric characters in analog signal
 Sent telegraphic signals across the Atlantic Ocean
 Communications satellites launched in 1960s
 Advances in wireless technology
 Radio, television, mobile telephone,communication satellites
 More recently
 Satellite communications, wireless networking,cellular technology