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Table 3
Parameter definitions.
| Variable | Defining equations | Comments |
|
|
||
| τ⋆ | (7) | Nominal self-cal solution timescale |
| Δν⋆ | (8) | Nominal self-cal solution bandwidth |
| φ(τS) | (2) | Self-cal residual error on solution timescale |
| σMap | (3) | Image plane natural noise |
|
(17) | Self-cal related image plane noise |
| ΩM | (22) | Main beam solid angle |
| ΩS | (23) | Near-in sidelobe solid angle |
| STot(Ω) | (45) | Integral source brightness in solid angle |
| NC(Ω) | (46) | Flux-weighted number of source components in solid angle |
| Srms(Ω) | (20) | rms source brightness in solid angle |
|
(21) | Large field rms source brightness in solid angle |
| SMax(Ω) | (50) | Maximum source brightness in solid angle |
| σSol | (56) | Self-cal solution noise required for convergence |
| σCfn | (57) | Source confusion noise |
| σCal | (52) | Gain calibration noise |
|
(55) | Large field gain calibration noise |
| SEFD | (58 | System equivalent flux density |
| σ T | (60) | Thermal noise |
|
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||
| φ C | (52) | Main beam gain calibration error |
| ϵ F | (4) | Far sidelobe attenuation relative to on-axis |
| ϵ S | (19) | Near-in sidelobe attenuation relative to on-axis |
|
(30) | Electronic pointing error |
| ϵ Q | (34) | Main beam shape asymmetry |
| ϵ B | (37) | Main beam shape modulation with frequency |
| ϵ M | (41) | Source modelling error |
|
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||
| σ N | (13) | Nighttime far sidelobe visibility modulation |
| σ D | (14) | Daytime far sidelobe visibility modulation |
| σ S | (19) | Near-in sidelobe visibility modulation |
| σ P | (27) | Main beam mechanical pointing visibility modulation |
|
(30) | Main beam electronic pointing visibility modulation |
| σ Q | (34) | Main beam asymmetry visibility modulation |
| σ B | (37) | Main beam modulation visibility modulation |
| σ M | (41), (42) | Source modelling error visibility modulation |
|
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||
| P | 27 | Mechanical pointing precision |
| τ P | (28) | Timescale for mechanical pointing modulation |
|
(31) | Timescale for electronic pointing modulation |
| τ C | (53) | Timescale for calibration error |
| δ C | (54) | Fractional bandwidth for calibration error |
|
|
||
| M TF | (15) | Far sidelobe independent time solutions |
| M FF | (16) | Far sidelobe independent frequency solutions |
| M TS | (24) | Near-in sidelobe independent time solutions |
| M FS | (25), (26) | Near-in sidelobe independent frequency solutions |
| M TP | (28) | Main beam mechanical pointing independent time solutions |
| M FP | (29) | Main beam mechanical pointing independent frequency solutions |
|
(31) | Main beam electronic pointing independent time solutions |
|
(32) | Main beam electronic pointing independent frequency solutions |
| M TQ | (35) | Main beam asymmetry independent time solutions |
| M FQ | (36) | Main beam asymmetry independent frequency solutions |
| M TB | (38) | Main beam modulation independent time solutions |
| M FB | (39,40) | Main beam modulation independent frequency solutions |
| M TM | (43) | Source modelling error independent time solutions |
| M FM | (44) | Source modelling error independent frequency solutions |
| M TC | (53) | Calibration error independent time solutions |
| M FC | (54) | Calibration error independent frequency solutions |
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