APPLICATION NOTE AN0025: Beacon Receiver Acquisition Time Analysis

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Introduction The Peak range of Beacon receiver units, including the PTR50, RTR50 and UPC7000series (Uplink Power control units fitted with Beacon receiver options) are tracking receivers, designed specifically to track and measure CW beacons from commercial satellites. Primarily an L-Band input receiver, the units are designed to be used for telemetry and control, typically in earth stations using large antennae. Note: the standard PTR50 receiver circuitry is offered as an option with the UPC7000series (Option 2). The Beacon receiver units will down convert an L-Band signal to an IF of 70MHz. The tracking function then uses a coherent detector to lock to the CW beacon and measure the power of the beacon signal. The digital search facility sweeps the frequency to locate a signal in the acquisition band and if a signal is detected the frequency is locked immediately to this beacon. A secondary anti-sideband (ASB) search is then initiated to look for a more intense signal within the search band. If one is detected then the locked tracking frequency is modified. The process repeats until the largest signal is found in the search band and the ASB device is then disabled. (Note: The ASB function is outside the scope of this application note, which only deals with initial acquisition and re-acquisition timing). A log amplifier is used to provide an output voltage representing the input power in logarithmic scale, in effect making the input power to output voltage log-conformal. The sensitivity of the logarithmic output is user selectable. The standard RTR50, & PTR50 (with option 11), are offered with a fast acquisition feature, achieving lock in <1s average (<2s max.) for combinations of lower search ranges (search bandwidths) and higher sweep rate settings (see table 2 below). This application note will endeavor to establish the tradeoff between search range (bandwidth), sweep rate, and subsequent threshold of lock (Carrier to Noise) performance, to allow the user to select the most appropriate settings for their particular application. Search Range (bandwidth) User selectable swept bandwidths allow for drifts on the required signal whilst searching, it is suggested to leave on the narrower settings as this will speed up acquisition of lock. Settings available are typically 20KHz, 50KHz, 100KHz, 200KHz and 500KHz. User selectable sweep rates allow the user the choice to speed up the acquisition of lock. The user must be aware that the lower the signal to noise ratio the slower the sweep rate needs to be to guarantee lock detection. It is suggested 5KHz/s as a starting point. The settings available are typically 2.5KHz/s (Slowest Acquisition), 5KHz/s, 10KHz/s, 20KHz/s, 40KHz/s, 80KHz/s, 120 khz/s and 240kHz (Fastest Acquisition). AN0025-050914 Page 1

Analysis Set-up V A V A Network PC Ethernet Network 12v @ 200mA PSU Typ 20v @ 800mA Noise Source RTR50 Ethernet [RJ45] L-Band BPF Fc = 2GHz BW = 40MHz L-Band Splitter [Mini Circuits] [ZESC-2-11] RF IN F-type L-Band Splitter [Mini Circuits] [ZESC-2-11] SMA Attenuators CH#2 N-type [BNC/probe] CH#3 [BNC] Lock Detect Vout [BNC-Tee] Signal Generator Typical: FIN = 1999 MHz (typ) {Dependent on L Band BPF} PIN = 0 dbm RF DETECTOR Custom Schottky Diode Detector. [Option: Agilent Schottky Diode Detector 423B 10nS rise times] CH#1 DC Block Digital Oscilloscope Spectrum Analyser Monitor Tracking Frequency at FVCO Typical Settings: Fc = FVCO, Span 100kHz, VBW/RBW 1 khz Figure 1 : Equipment Set-up. Acquisition Time Typical Fast Acquisition Response RTR50 Settings: : 240 KHz/s Bandwidth: ± 20kHz CH1 [Yellow] : RTR50 Lock Detect CH2 [Green] : RF Detector Output (Trigger) CH3 [Purple] : RTR50 Vout Figure 2 : Oscilloscope Plot (typical). AN0025-050914 Page 2

The test set-up for the acquisition time analysis for the RTR50 is shown in Figure 2 (configuration identical for other products). A signal generator is used to simulate an incoming CW beacon signal. This signal is split to allow a fast (ns) RF detector to be used to trigger the acquisition time measurement (rising edge of RF detector is the T=0s as measured on the oscilloscope, CH2 trace on Figure 2). The second path is heavily attenuated to replicate a low level beacon signal. This is then combined with a broadband noise source (used to effectively reproduce a noisy channel so C/No performance can be measured). Beacon signal and noise are then applied to the device under test. The acquisition lock time and Vout can be measured on an oscilloscope. Triggering the measurement between the RF detector rising edge and falling edge of lock detect (lock detect is active low) will give an accurate measurement for the acquisition time for any given device setting. Device setting control is achieved either by Ethernet or front panel selection, depending upon the product type and options selected. Measured maximum acquisition times for all valid sweep rates and swept bandwidths are shown in Error! Reference source not found. & 2. Variability contributing to general measurement uncertainties includes slight variance in actual sweep rates and search ranges (bandwidths). 2.5 khz/s 5 khz/s 10 khz/s Swept BW ± 20 khz ± 50 khz ± 100 khz ± 200 khz ± 500 khz Typical C/N 27.00 s (max) 50.00 s (max) 86.00 s (max) 165.00 s (max) 386.00 s (max) -34.0 db/hz 12.00 s (max) 24.00 s (max) 43.00 s (max) 83.00 s (max) 194.00 s (max) -34.0 db/hz 7.00 s (max) 13.00 s (max) 22.00 s (max) 42.00 s (max) 97.00 s (max) -34.0 db/hz <4s Average aquistion times. (<8s max) Table 1 : Standard Acquisition (standard PTR50 & UPC7000series fitted with Option 2) Acquisition Times. 2.5 khz/s 5 khz/s 10 khz/s 20 khz/s 40 khz/s 80 khz/s 120 khz/s 240 khz/s Swept BW ± 20 khz ± 50 khz ± 100 khz ± 200 khz ± 500 khz Typical C/N 22.70 s (max) 55.00 s (max) 101.00 s (max) 187.00 s (max) 480.00 s (max) -34.0 db/hz 11.00 s (max) 26.00 s (max) 49.00 s (max) 97.00 s (max) 243.00 s (max) -34.0 db/hz 3.70 s (max) 13.00 s (max) 24.90 s (max) 47.00 s (max) 120.00 s (max) -34.0 db/hz 1.85 s (max) 6.80 s (max) 12.46 s (max) 23.40 s (max) 60.00 s (max) -34.5 db/hz 1.42 s (max) 3.30 s (max) 6.20 s (max) 11.60 s (max) 30.00 s (max) -35.0 db/hz 0.65 s (max) 1.60 s (max) 2.98 s (max) 5.57 s (max) 14.00 s (max) -36.0 db/hz 0.32 s (max) 0.84 s (max) 1.57 s (max) 2.99 s (max) 7.60 s (max) -39.0 db/hz 0.18 s (max) 0.44 s (max) 0.79 s (max) 1.52 s (max) 3.80 s (max) -44.0 db/hz <1s Average aquistion times. (<2s max) Table 2 : Fast Acquisition (standard RTR50 & PTR50 fitted with Option 11) Acquisition Times. AN0025-050914 Page 3

Figure 3 : Statistical Distribution of Acquisition Times for of 120kHz/s and Swept BW of ±50kHz. It is worth mentioning the statistical nature of the measurement being performed and this is graphically shown in the distribution of acquisition times shown in Figure 3. It can be seen that this is a purely random distribution with a minimum acquisition time being just as likely as the maximum. This is not unexpected as the tracking VCO can never be coherently linked to the beacon receiver and there is no prior knowledge of the VCO frequency position at the point when the beacon signal is presented. The tracking VCO operation is shown in Figure 4 and demonstrates why the worst case (maximum) acquisition times have been presented in Table and Table. As the lock time distribution is purely random, then the average acquisition time will be half the maximum times indicated in the tables for any given sweep rate and search range (Bandwidth). Locked Amplitude (a) Tracking VCO spectrum showing Locked state, maximum and minimum tracking bandwidths.. Swept Bandwidth (Frequency) Time (Swept Period) (b) Tracking VCO has a saw-tooth control voltage during its tracking search with the period defining the sweep rate and amplitude the swepth bandwidth. Amplitude V Tracking VCO (X) Tracking VCO Frequency (c) Tracking VCO will sweep through defined bandwidth at the selected sweep rate. Worst case scenario is the Beacon Signal is presented just after the normal Lock frequency has been passed (X), so the full swept bandwidth and fly back period will have elapsed before beacon lock can be achieved. Figure 4 : Tracking VCO operation AN0025-050914 Page 4

Summary The results shown in Error! Reference source not found. and 2 demonstrate the acquisition times for various beacon receiver settings. They relate search range (bandwidth), sweep rate & resulting maximum acquisition time to the respective carrier to noise thresholds. These tables allow the user to make an informed judgment on the correct Beacon receiver settings for any given application. Basically the lower input carrier to noise (C/No) ratio you have, the longer you will need to wait to reacquire the signal once lost. AN0025-050914 Page 5