Jun 242009

In other words, why is it necessary to carry a message waveform onto a carrier wave of much larger frequency than that of the message?
Is it possible to configure a radio with only a microphone, power amplifier and antenna?
wavelenth = light speed / frequency
Thus, for human voice (whose frequency is around 3000Hz),
wavelength = 3*10^8 / 3000Hz=100000m = [...]

Jun 242009

CRC: Cyclic Redundancy Check

Some redundant bits are attached to each message to detect the existence of errors at receiving side

Basic concept:
Given a k-bit block of bits (or messages), the transmitter generates an (n-k) bit sequence, known as a frame check sequence (FCS),
such that the resulting frame (consisting of n bits)  is exactly divisible by some [...]

Jun 232009
What is for interleaving ?

If there are consecutive 4 bit errors  in a byte, it is difficult to reconstruct original byte even using channel coding.
Interleaving provides time diversity, which spreads signal in time domain.

Note that time delay will occur.

Jun 232009

YES!

Jun 212009

Because many signals have a very wide dynamic range, SNRs are usually expressed in terms of the logarithmic decibel scale.
In decibels, the SNR is, by definition, 10 times the logarithm of the power ratio.
10log10(Preceived/Pnoise)

Jun 212009

Different communication systems will have different curve of Eb/No vs. BER
Two ways to compare– vertical line and horizontal line:
1. horizontal line:
(for a given BER) some system needs less energy, which is good.
2. vertical line:
(for the same amount of Eb/No) some system provides less BER, which is good.
Furthermore, based on the graph, transmit power can be [...]

Jun 212009

Q: What is Eb/N0?
Eb/No is S/N (Signal to Noise ratio) divided by spectral efficiency.
“SNR per bit”
Q: Why is Eb/N0 important in digital communication?
Motivation:
- analog waveform is a power signal (infinite energy, finite average power)
- digital waveform is an energy signal (zero average power, non-zero finite energy) since a waveform is transmitted only during each symbol [...]

Jun 212009

(bit/s)/Hz
Spectral efficiency is obtained by (maximum throughput achieved/bandwidth).
It is the amount of information that can be transmitted over a given bandwidth.

Jun 212009

Sampling theorem:
If a signal is bandlimited from -B to B.
In order to completely construct the signal, the sampling frequency should be larger than 2B.

Motivation:
The impulse of delta trains with Ts  in time domain (sampling) results in delta trains with Fs.
Ts is inversely proportional to Fs.
Thus, to avoid aliasing effect, Fs should be distant more than 2 [...]

Jun 212009

Bit is a fundamental information unit to be transmitted.
Symbol is a unit of transmission energy, sinusoidal or wave transform.
M-ary waveforms:  group of k bits sent per symbol M=2^k
For example, QPSK, 2 bits per symbol
bit rate = k*symbol rate= k/T where T is a symbol duration

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