The PQConsole Program

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The PQConsole Program W.J. Riley Hamilton Technical Services Beaufort, SC 29907 USA Introduction PQConsole is a command line program for the PicoPak clock measurement module [1, 2]. It supports capturing the 10 ms data stream from a PicoPak module and using those data to calculate and output 1 s fractional frequency values. The fractional frequency results are found as the phase slope by performing a linear least-squares regression on successive blocks of 100 10 ms phase samples. When followed by an Allan variance (AVAR) analysis, this is analogous to an counter [3] and the quadratic variance (QVAR) [4, 5], and has the beneficial effect of reducing wideband white PM instrumental noise. The resulting noise floor is white FM noise at a level close to the PicoPak s 6.2 ps resolution at 10 MHz. This measurement methodology is therefore best suited to making short-term measurements. Program Description Figure 1 shows the PQConsole screen for a 1000 second measurement run. The user enters the PicoPak COM port, the number of 1-second data points to collect, the nominal signal frequency and the output filename. The PicoPak module is initialized, the measurement is started, and the measurement run starts. At the conclusion of the run, the program reports the results and waits to be closed. A portion of the resulting PQConsole data file is shown in Figure 2. Figure 1. PPConsole Screen 1

PQConsole Data File PicoPak Module S/N 105 Tau: 1.000000e+00 Points: 1000 Start: Thu Jun 22 12:08:33 2017 End: Thu Jun 22 12:25:12 2017 Data are fractional frequency WRT 10.000000 MHz # Header End -4.782167e-12-5.556698e-13-1.471289e-12 2.205837e-12 3.597578e-12-3.251252e-12 8.067711e-13 1.094450e-11 1.546591e-12-1.647088e-12... Figure 2. PQConsole Data File It is necessary to manually enter the signal frequency within several pp10 9, and the corresponding DDS setting will not be adjusted during the measurement run. The phase data are processed and the frequency values written to the file at the end of the run after all phase data are acquired. The file can be read into Stable32 for analysis. PicoPak/PQConsole Noise Floor Figure 3 shows PicoPak/PQConsole noise floor with coherent 10 MHz inputs. The 1-second ADEV is about half that of the PicoPak with normal processing (as shown by the green line on the plot), but, because its white FM noise decreases as rather than, it is better only for short averaging times. 2

Figure 3. PQConsole and Normal PicoPak Coherent Noise Floors PQConsole Measurement Example Figure 4 shows an example of using a PicoPak with the PQConsole software to measure the relative stability of a pair of LPRO rubidium oscillators. The measured white FM noise level is somewhat above the PicoPak/PQConsole noise floor (green line), and the short-term (1 s) stability determination is considerable better that that of a PicoPak using its normal control software. 3

Figure 4. Stability Plot For Two Rb Oscillators Using a PicoPak with PQConsole PQConsole with the PicoPlus Figure 5 shows the white FM noise floor of a PicoPlus, a PicoPak with a x10.635 PicoMult Frequency Error Multiplier (FEM) [6]. That unit also benefits from PQConsole processing in the short-term where its 1-second white FM noise floor of about 7x10-13 is below the 2x10-12 -1 white PM noise floor with normal processing at averaging times shorter than about 10 seconds. The PQConsole program supports PicoPak FEM processing when the entered nominal frequency is exactly 10.25 MHz. With a PicoPlus and PQConsole processing, the measured 1-second ADEV for the two LPRO Rb oscillators of Figure 4 is slightly better, about 9.7x10-12, indicating that the PQConsole-processed PicoPak noise without an FEM contributes somewhat to the Figure 4 results. 4

Figure 5. Coherent Noise Floor of a PicoPlus Module with its FEM Using PQConsole Processing References 1. W.J. Riley, The PicoPak Clock Measurement Module, Hamilton Technical Services, Beaufort, SC 29907 USA, March 2015. 2. The PQConsole program was written in C using the Win32 API and Microsoft Visual Studio 2015, and is supplied with the PicoPak clock measurement module hardware. 3. E. Rubiola, et alia, The Counter, a Frequency Counter Based on the Linear Regression, IEEE Trans. UFFC, Vol. 63, No. 7, July 2016, pp 961-969. 4. F. Vernotte, et alia, "The Parabolic Variance (PVAR): A Wavelet Variance Based on the Least-Square Fit", IEEE Trans. UFFC, Vol. 63, No. 4, April 2016, pp. 611-623. 5. F. Vernotte, et alia, "Least-Square Fit, Counters. And Quadratic Variance, Proc. IEEE IFCS/EFTF 2015, April 2015. 6. W.J. Riley, The PicoMult Frequency Error Multiplier, Hamilton Technical Services, Beaufort, SC 29907 USA, November 2016. File: The PQConsole Program.doc W.J. Riley Hamilton Technical Services June 23, 2017 Rev A. June 25, 2017 5