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The well-known Shannon-Hartley law tells us that there is an absolute limit on the error-free<br />
bit rate that can be transmitted within a certain bandwidth at a given signal to noise ratio<br />
(SNR). Although it is not obvious, this law can be restated (given here without proof) by<br />
saying that for a given bit rate, one can trade off bandwidth and power. On this basis then, a<br />
certain digital communications system could be either bandwidth limited or power limited,<br />
depending on its design criteria.<br />
Practice also tells us that digital communication systems designed for HF are necessarily<br />
designed with two objectives in mind; slow and robust to allow communications with weak<br />
signals embedded in noise and adjacent channel interference, or fast and somewhat subject to<br />
failing under adverse conditions, however being able to best utilize the HF medium with<br />
good prevailing conditions.<br />
Taken that the average amateur radio transceiver has limited power output, typically 20 - 100<br />
Watts continuous duty, poor or restricted antenna systems, fierce competition for a free spot<br />
on the digital portion of the bands, adjacent channel QRM, QRN, and the marginal condition<br />
of the HF bands, it is evident that for amateur radio, there is a greater need for a weak signal,<br />
spectrally-efficient, robust digital communications mode, rather than another high speed,<br />
wide band communications method.<br />
Recent Developments using PSK on HF<br />
It is difficult to understand that true coherent demodulation of PSK could ever be achieved in<br />
any non-cabled system since random phase changes would introduce uncontrolled phase<br />
ambiguities. Presently, we have the technology to match and track carrier frequencies<br />
exactly, however tracking carrier phase is another matter. As a matter of practicality thus, we<br />
must revert to differentially coherent phase demodulation (DPSK).<br />
Another practical matter concerns that of symbol, or baud rate; conventional RTTY runs at<br />
45.45 baud (a symbol time of about 22 ms.) This relatively-long symbol time have been<br />
favored as being resistant to HF multipath effects and thus attributed to its robustness.<br />
Symbol rate also plays an important part in determining spectral occupancy. In the case of a<br />
45.45 baud RTTY waveform, the expected spectral occupancy is some 91 Hz for the major<br />
lobe, or +/- 45.45 on each side of each the two data tones. For a two tone FSK signaling<br />
system of continuous-phase frequency-shift keying (CPFSK) paced at 170 Hz, this system<br />
would occupy approximately 261 Hz.<br />
Signal space representation<br />
• Band pass Signal<br />
• Real valued signal S(f) Ù S* (-f)<br />
• finite bandwidth B Ù infinite time span<br />
• f c denotes center frequency<br />
• Negative Frequencies contain no Additional Info<br />
Characteristics: