Test of PAF Backend Amplitude and Noise Linearity Date: June 8-9, 2015 Authors: A. Roshi, B. Shillue, B. Simon, S. White Purpose: To investigate the PAF analog link, downconverter, and data acquisition gain linearity, linear dynamic range, and consistency of noise temperature measurements at different signal levels. This investigation seeks to shed light on the January 2015 GBT test in which the beamformed Tsys/h had a positively correlated dependence on calibration source flux density. First Test: Linearity Test Setup: CIAO 40 dB amplifier Noise Source HP 83640A Signal Source GBT Receiver Box Cross dipole element X 1.55.0.5 GHz Cplr 10 dB LNA Analog F/O Xmtr BPF Analog F/O Rcvr BYU PAF Downconverter 1.2 GHz 1.9 GHz 700 MHz 400/5 MHz 2.81/0.42 MHz HPF LPF LPF BPF BPF LO1 1600-2300 MHz LO2 396 MHz Windows computer 12-bit ADC Figure 1- Test Setup for Linearity Measurement Data Storage The test setup was as shown in Figure 1. The PAF receiver was cold, turned on, and pointed into the hot load at the OTF test facility in Green Bank. In this configuration, the signal source was set to -50 dBm and 1635 MHz, and LO1 and LO2 were set so the tone fell in the middle of the 420 kHz wide IF. Also, the noise source attenuator was adjusted to values between 0 and 30 dB. Figure 2- Normalized power transmitted through the backend is plotted against attenuator value (stars). Solid line shows values with linear gain term removed. Normalized power measured through the digital backend is plotted against the input attenuator value. The stars show the measured power at 1635 MHz (bandwidth ~ 100 Khz) from all the 38 channels. A tone at frequency 1635 MHz was injected along with the noise source used for linearity measurement. The plotted power values are normalized with respect to the tone power. We use the tone signal to estimate the gain. The measured power after correcting for the gain and removing the expected increase in power is shown by continuous lines. As can be seen the gain estimate using the tone signal removes the change in gain well beyond the 1 dB compression point. In the figure below we show the gain corrected value with y-range +/- 1 dB. The variation in gain corrected values are in the range -0.5 to 0.2 dB up to the 1 dB compression point, indicating the tone signal can be used to remove gain variation in the system. Figure 3- Closeup of power variation with linear gain removed Second Test: Receiver Temperature Test Setup: GBT Receiver Box 1.55.0.5 GHz X Cplr 10 dB LNA Analog F/O Xmtr BPF Analog F/O Rcvr BYU PAF Downconverter 1.2 GHz 1.9 GHz 700 MHz 400/5 MHz 2.81/0.42 MHz HPF LPF LPF BPF BPF LO1 1600-2300 MHz LO2 396 MHz Windows computer 12-bit ADC Data Storage Figure 4- test setup for Receiver Noise Temperature vs attenuation test We measured the receiver temperature of channel Y1 by measuring the hot/cold load noise power ratio at two locations: a) at the output of the fiber link (before the downconverter) with a 20 MHz filter, and b) after the BYU down-converter and digital backend The measurements at the fiber link output were made with spectrum analyzer near 1635 MHz and with resolution bandwidth of <= 1 MHz. The measurement through the digital backend was made at 1635 MHz with a bandwidth of ~100 Khz. The receiver temperature calculated using these measured noise powers and assuming Thot = 300K and Tcold = 8K. Attenuator value Trec (K) @ Fiberlink output 0dB 1dB 2 dB 3dB 19.2 18.5 19.2 19.9 Trec (K) @ BYU downconverter/digital backend 22.3 24.1 24.5 24.0 The noise temperature does not show a strong or significant variation with attenuator setting, so we conclude that neither the system linearity nor the presence of RFI is causing noise temperature variations. However, the receiver temperature measurement made through the digital receiver on the average is about 4 K higher. This seems to indicate that something in the backend is adding significant noise to the PAF system.