| Communications Toolbox | |
Available combinations of valid combinations of parameters for the Theoretical panel in BERTool depend on the types of systems for which closed-form expressions exist for error statistics. The Theoretical panel adjusts itself to your choices, so that the combination of parameters is always valid. Note that you can set the Modulation order parameter by selecting a choice from the menu or by typing a value in the field. The Normalized timing error must be between 0 and 0.5.
The table below lists the available sets of theoretical BER data for systems that use an AWGN channel.
| Modulation | Modulation Order | Other Choices |
|---|---|---|
| PSK (assuming Gray-coded signal constellation) | 2 | Differential or nondifferential encoding; Channel coding = None; other choices related to synchronization |
| Differential or nondifferential encoding; Block or Convolutional coding; Hard or Soft decisions; other choices related to code | ||
| 4 | Differential or nondifferential encoding; Channel coding = None | |
| Differential or nondifferential encoding; Block or Convolutional coding; Hard or Soft decisions; other choices related to code | ||
| 8, 16, 32, or a higher power of 2 | ||
| DPSK | 2, 4, 8, 16, 32, or a higher power of 2 | |
| PAM (assuming Gray-coded signal constellation) | 2, 4, 8, 16, 32, or a higher power of 2 | |
| QAM (assuming Gray-coded signal constellation) | 4, 8, 16, 32, 64, 128, 256, 512, 1024, or a higher power of 2 | |
| FSK | 2, 4, 8, 16, or a higher power of 2 | Coherent demodulation |
| 2, 4, 8, 16, 32, or 64 | Noncoherent demodulation | |
| MSK | 2 | Differential or nondifferential encoding |
| CPFSK | 2, 4, 8, 16, or a higher power of 2 | Modulation index > 0 |
For more information about specific combinations of parameters, including bibliographic references that contain closed-form expressions, see these functions' reference pages:
berawgn — For systems with no coding and perfect synchronization
bercoding — For systems with channel coding
bersync — For systems with BPSK modulation, no coding, and imperfect synchronization
The table below lists the available sets of theoretical BER data for systems that use a Rayleigh channel.
| Modulation | Modulation Order | Other Choices |
|---|---|---|
| PSK | 2 or 4 | Diversity order ≧1 |
| 8, 16, 32, or a higher power of 2 | ||
| DPSK | 2 or 4 | Diversity order ≧1 |
| 8, 16, 32, or a higher power of 2 | ||
| FSK | 2 | Diversity order ≧1; Coherent or Noncoherent demodulation |
| 4, 8, 16, or a higher power of 2 | Diversity order ≧1 |
For more information about specific combinations of parameters, including bibliographic references that contain closed-form expressions, see the reference page for the berfading function.
The table below lists the available sets of theoretical BER data for systems that use a Rician channel.
| Name | Range |
|---|---|
| Modulation type | PSK |
| Modulation order | 2 |
| Diversity order | 1 |
| Demodulation type | Coherent |
| K factor | [0, inf] |
| RMS phase noise | [0, inf] |
| | Example: Using the Theoretical Panel in BERTool | Using the Semianalytic Technique to Compute BERs | |
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