A Low Frequency Array Designed to Search for the 327 MHz line of Deuterium

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A Low Frequency Array Designed to Search for the 327 MHz line of Deuterium Alan E. E. Rogers Kevin A. Dudevoir Joe C. C. Carter Brian J. Fanous Eric Kratzenberg MIT Haystack Observatory Westford, MA 01886 To be presented at URSI Boulder, Colorado January 2005

OVERVIEW Description of the array RFI monitor RFI transient excision and spectral exclusion Summary of data taken to date

Deuterium Array Firepond Location Haystack Millstone Westford Millstone Hill Rd. Multibeam array at 327 MHz Soccer field sized Science D/H ratios tell us about density of material in the early Universe open vs. closed scenarios Optically, H and D spectrally close Technical Digital receiver Allows deep integration Alan Rogers 7 Jan 2005 Active antenna design

D1 ARRAY of 24 STATIONS EACH WITH 24 CROSSED-DIPOLES

DEUTERIUM ARRAY PROJECT (24 dual pol elements) Note: Receiver provides 24 channels per polarization so that one corner element is not used. Array station sub-array

STATION D00 WITH RFI MONITOR IN BACKGROUND

Deuterium array challenges Achieving Tsys close to sky noise Ameliorating RFI: 1 mk in 10kHz ~ -189 dbm e.g. signals from Westford ~ 1K ensuring adequate IP2 e.g. mix with TV signals (~ -159 dbm) (i.e. paging @ 152 + ch7 TV @ 175 = 327)

Array status: 24 stations completed 29 June 2004 and observations started Technical solutions to problems: 1] Intermodulation reduced by adding stub filters to active dipoles 2] Horizon response reduced by adding resonant directors to crossed- dipoles 3] RFI leakage from box solved by adding more power line filtering and large number of screws to improve ohmic contact of box cover

Summary of array Characteristics: Configuration quasi-regular array of 24 stations ~ 15 m spacing Each station 5 x 5 (24) compact array of crossed Yagis collecting area : 12 m 2 beamwidth: 14 degrees electronic steering: ~ +/- 40 degrees 3 db manual adjustment of elevation 30 90 deg number of available simultaneous beams: 4 Frequency coverage 322.0 328.6 MHz (centered at 327.4 MHz) Polarization dual linear System temperature limited by sky background 50 400 K Spectrum 250 khz with 1024 channels 244 Hz resolution Total number of receiver ports 48x24 = 1152

Deuterium array sensitivity Tsys: 110 K (40 K recvr + 70 K sky) Number antenna sub-arrays: 24 Number of polarizations: 2 For a resolution of 10 km/s ~ 10 khz 1-sigma noise in 30 days: ~ 100 μk (about 6 months observing a given point in sky) For D/H ~ 1.5x10-5 expect ~ 300 μk (towards Galactic anti-center)

D1 array receiver functional block diagram

Local Oscillator Analog down converters Digital boards 48 channel receiver for each station of the array shown with cover removed

Coaxial stub filters form an integral part of the low noise active dipole antenna

Scan loss

Pulsar test on 0957+56 max 6.820327e-03 Start 202:11:01:16 end 202:13:56:17 scanlim 20 4ms resolution D1 Array file: /da/d13/2004_202_00.d13a Mon Oct 4 20:29:51 2004

Beamscan on the Sun 35 30 25 20 15 10 5 Elev 0-5 -10-15 -20-25 3.82 3.65 3.48 3.31 3.14 2.97 2.80 2.63 2.46 2.29 2.13 1.95 1.78 1.61 1.44 1.28 1.11 0.94 0.77 0.60-30 -35-40 -45-40 -35-30 -25-20 -15-10 -5 0 5 10 15 20 25 30 35 40 45 50 Azimuth (deg) Start 2003:107:14:20:15 datamax 3.82 datamin 0.60 file: bmap5.txt

1.8 1.6 fit to Trecvr 40 K horizon set at 5 deg Azimuth 180 deg Elevation 90 deg Dipole orientation 45 deg 1.4 NORMALIZED BEAM 1.2 1.0 0.8 0.6 0.4 0.2 0.0 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 LST (hr) Calibration using Sky Models (Rogers et al. Radio Science,vol.39,RS2023,2004)

Measurement of Trecvr using zenith beam 1.8 1.6 1.4 1.2 1.0 0.8 0.6 0.4 0.2 0.0 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 LST (hr) VARIATION OF NORMALIZED ZENITH BEAM FOR ALL STATIONS DAY 2004_277

Cygnus 0-100 Sun 0-100 Trecv 0-100K pulsar 0-20 temperature 0-100 C 100 110 120 130 140 150 160 170 180 190 200 210 220 230 240 250 260 270 280 290 300 310 320 330 340 350 360 Day number 2004 History of checks from each day averaged over all stations file: temp Sun Dec 19 01:33:16 2004

RFI environment at Haystack Observatory FM radio HF digisonde TV VHF TV Ch 66 radar UHF TV cellular RFI noise temperature near Haystack BW = 1 MHz integration 100 s RBP 8 Dec 03 (noise floor is limited by noise figure of spectrum analyzer)

CLOSEUP VIEW OF ACTIVE ANTENNA ELEMENT SHOWING RESONANT DIRECTORS ADDED TO REDUCE GAIN AT THE HORIZON RFI MONITOR WITH 12 ACTIVE YAGIS AND A CROSSED-DIPOLE IN BACKGROUND

RFI: Almost all RFI has been identified as local i.e. within 2 km RFI examples and fixes: 1] Litespan 2000 harmonics of 1.544 MHz i.e. 212x1.544 = 327.327 MHz shielded by adding missing cabinet doors and shield on building 2] IR camera electronics spur at 327.275 MHz equipment removed 3] Emission from receiver box leaking out of power cable added double power filtering 4] Panasonic answering machine emission at 327.410 MHz at Westford machine removed, modem on antenna shut-down 5] With cooperation of neighbors removed signals from various answering machines in the 327 MHz band. 6] GPS receiver 4.092 x 80 = 327.36 MHz antenna moved 7] Surround sound 11.2896 x 29 = 327. 3984 MHz frequency excluded

Other sources of RFI at 327 MHz PC motherboard > 100 db shielding needed Fiber optic ethernet converter > 100 db req. Other PC and electronics within 500 m. Continuum transients mostly of unknown origin. These have spectral features due to multipath.

Sensitivity to detect* CW RFI (in EIRP at 100m from array) RFI monitor active 12 dbi Yagi (Tsys = 200K) in 24 hours - 127 dbm Array active dipole (Tsys = 100K, -10 dbi at horizon) in 24 hours - 108 dbm Average of all 24x48 dipoles - 123 dbm All dipoles in 10 days - 128 dbm * assumes 10 sigma detection and resolution of 244 Hz Note: FCC part 15 limit = 200uV/m at 3m = -49 dbm EIRP Expected D1 strength = 300 uk in 20 khz = -191 dbm = -119 dbm EIRP at 100m in -10 dbi sidelobe of dipole

500mK 0 327.275 327.291 327.306 327.322 327.337 327.353 327.369 327.384 327.400 327.416 327.431 327.447 327.462 327.478 327.494 327.509 Frequency MHz Example of RFI spectrum from modem about 180m from RFI monitor Sample spectra from Deuterium array RFI monitor

az330 az300 az270 az240 az210 az180 az150 az120 az90 az60 az30 az0 327.275 327.291 327.306 327.322 327.337 327.353 327.369 327.384 327.400 327.416 327.431 327.447 327.462 327.478 327.494 327.509 Example of finding direction from RFI monitor Yagis

RFI amelioration: 1] Reduce the horizon response resonant directors reduced gain at horizon by 10 db. 2] Excise all transients by excluding all time spans for which there is a greater than 8 sigma detection in 100 seconds of RFI monitor data from any Yagi or greater than 8 sigma detection in any 500 seconds of beam data. 3] Excise all transients for which there is a greater than 10 sigma curvature or third order polynomial coefficient in 100 seconds of RFI monitor data, beam data or average of all 24 channels. [This is useful in removing continuum ripple from multi-path-ed continuum data.] 4] Exclude all 244 Hz frequency channels with a greater than 8 sigma detection in 24 hours of RFI monitor data. 5] Perform weighted least squares fitting of 128 coefficient Fourier series to smooth spectrum giving the excluded channels zero weight. Estimate the standard deviation from the transform of the covariance matrix. Alternately make weighted least squares fit to expected D1 profile and average profile amplitudes.

509 ppm p-p fully excised using all 24 channels to detect 327.275 327.291 327.306 327.322 327.337 327.353 327.369 327.384 327.400 327.416 327.431 327.447 327.462 327.478 327.494 327.509 port num 0 int 58000 sec delta 5.09e-04 rms 9.16e-05 theory 9.40e-05 slope 4.3e-04 pwr 5.85e+04 maxf 327.308691 maxi 138 696 ppm p-p partially excised 327.275 327.291 327.306 327.322 327.337 327.353 327.369 327.384 327.400 327.416 327.431 327.447 327.462 327.478 327.494 327.509 port num 0 int 111600 sec delta 6.96e-04 rms 8.35e-05 theory 6.77e-05 slope 2.7e-04 pwr 5.45e+04 maxf 327.299414 maxi 100 2630 ppm p-p continuum transient without excision 327.275 327.291 327.306 327.322 327.337 327.353 327.369 327.384 327.400 327.416 327.431 327.447 327.462 327.478 327.494 327.509 port num 0 int 138000 sec delta 2.63e-03 rms 3.51e-04 theory 6.09e-05 slope 3.5e-04 pwr 5.39e+04 maxf 327.299414 maxi 100 Example of excision of multi-path-ed RFI transient D1 Array vlsr= 39.4 s=g183 file: /data/d04/2004_099_00.d04b Thu Apr 15 22:45:17 2004

Method of spectral exclusion simulated data data fit with exclusion fit without exclusion 327.31 327.34 327.37 327.40 327.43 327.46 327.49 MHz Tue Oct 5 16:50:22 2004 excluded frequencies std dev from 2000 trials std dev from covariance matrix 327.31 327.34 327.37 327.40 327.43 327.46 327.49 MHz

LEAST SQUARES SMOOTHING: H ( ) 1 H sˆ = A wa A wx X = vector of original spectrum A = steering or design matrix s = vector of Fourier series coefficients w = weight matrix H = conjugate transpose or Hermitian conjugate SPECTRAL ERROR ESTIMATE: σi = ( ( ˆ )( ˆ ) ) = ( ) ( 1 ) 2 H H H H 2 As s s s A AA wa A σ 0 ii ii ( ) 1 2 σ 0 = bt b = original spectral resolution = 244 Hz T = integration time SUMMARY OF MATRIX ALGEBRA FOR RFI SPECTRAL EXCLUSION

Days 2004_167 thru 2004_180 of array data average of spectra from all elements as a test of RFI amelioration 32 ppm p-p No excision rms 5 ppm integ 31.9 yr 24 ppm p-p continuum transients produce baseline ripple transients excised rms 4 ppm integ 31.9 yr 17 ppm p-p CW not detected by RFI monitor transients and CW removed rms 3 ppm integ 30.9 yr 327.275 327.291 327.306 327.322 327.337 327.353 327.369 327.384 327.400 327.416 327.431 327.447 327.462 327.478 327.494 327.509

Observing schedule: Stations set pointing at Zenith Source time span maximum scan angle (deg) Galactic Anti-center D1 emission 6 hours/day 40 (Galactic longitudes 171 183 and 195) Reference regions at 171 183 195 plus 06 12 18 hours RA Cygnus 15 min/day 30 Cas A D1 absorption 3 hours/day 20 Sun Occasional phasing checks etc. 10 min/day depends on season Pulsar 0329+54 3 hours/day 20 Zenith beam 24 hours/day 0 Notes: 1] Zenith beam power variation with LST for Tsys calibration 2] Phasing and beamforming checks on the Sun and Cygnus

Summary of data loss due to RFI RFI equivalent loss of integration transient excision : 5% CW exclusion: 15%

APPROXIMATE ESTIMATE OF EXPECTED SIGNAL: ( D H) ( spin cont) τ ( R cont) nd n H = Deuterium abundance ratio ( 1.5 10 5 ) s = 0.27 n n T T T + T 4.4 ppm T spin = spin temperature of Deuterium (130 K) T cont = Continuum temperature (70 K) τ H = hydrogen 21 cm opacity (2) T R = receiver noise contribution (40 K) MORE ACCURATE ESTIMATE OF EXPECTED SIGNAL: s = ( a bm) ( b bm) ( D H) spin cont( ) b= T ( l, b) ( ) τ ( ) a = 0.27 n / n t t 1, b l, b a k θ k 2 cont τ = loge 1 TH Tspin T H = hydrogen line temperature T spin = Hydrogen spin temperature N iθ 2 2 k k sky k e a s T bm = + T 2 N a s K = beam response of each dipole = beam steering phase to k th sky patch N = number of elements = 24 K = total number of sky patches k k R

Station beam at 0 hour angle +15 0 120.0 135.0 150.0 165.0 180.0 195.0 210.0 225.0 240.0-15 Continuum Galactic Longitude +15 0-15 120.0 135.0 150.0 165.0 180.0 195.0 210.0 225.0 240.0 Galactic Longitude H1 opacity at 0 km/s Galactic latitude +15 0 120.0 135.0 150.0 165.0 180.0 195.0 210.0 225.0 240.0 Galactic Longitude -15 H1 data from Hartmann & Burton and Continuum from Haslam et al.

Expected D1 spectra from region near Galactic anticenter: Assuming: 1] D1 spin temperature = 130 K 2] D/H ratio = 15 ppm 3] continuum uniformly mixed with H1 and 6 K (3K CMB + 3K) extragalactic 4] average for hour angle from -2 to +2 hours 5] H1 from Hartmann and Burton, continuum from Haslam et al 3 ppm fullscale G183 G171 G195-40.0-30.0-20.0-10.0 0.0 10.0 20.0 30.0 40.0 (km/s) G183 peak = 2.6 ppm (1.6 ppm if all continuum behind, 3.6 ppm in all in front)

T spin (K) Continuum all behind H1 (ppm) Continuum mixed with H1* Continuum all in front of H1 110 1.7 3.2 4.7 120 1.7 2.9 4.1 130 1.6 2.6 3.6 140 1.6 2.6 3.6 150 1.7 2.4 3.2 * Uniform mix of continuum with H1 and 6K (3K CMB +3K) extragalactic Expected D1 line peak vs spin temperature and assumed location of continuum for D/H = 15 ppm

32 ppm p-p -2.2 ppm snr 1.2 R18195 rms 5 ppm integ 0.89 yr 95 80 66 52 37 23 9-6 -20-34 -49-63 -77-92 -106-120 15 ppm p-p -1.4 ppm snr 1.1 R12195 rms 3 ppm integ 2.08 yr 95 80 66 52 37 23 9-6 -20-34 -49-63 -77-92 -106-120 20 ppm p-p 0.4 ppm snr 0.4 R06195 rms 3 ppm integ 2.45 yr 95 80 66 52 37 23 9-6 -20-34 -49-63 -77-92 -106-120 13 ppm p-p 1.7 ppm snr 1.9 R18183 rms 2 ppm integ 3.87 yr 95 80 66 52 37 23 9-6 -20-34 -49-63 -77-92 -106-120 21 ppm p-p -0.0 ppm snr 0.0 R12183 rms 3 ppm integ 3.42 yr 95 80 66 52 37 23 9-6 -20-34 -49-63 -77-92 -106-120 16 ppm p-p 0.8 ppm snr 0.9 R06183 rms 3 ppm integ 3.54 yr 95 80 66 52 37 23 9-6 -20-34 -49-63 -77-92 -106-120 13 ppm p-p -0.2 ppm snr 0.2 R18171 rms 2 ppm integ 3.68 yr 95 80 66 52 37 23 9-6 -20-34 -49-63 -77-92 -106-120 11 ppm p-p 1.1 ppm snr 1.3 R12171 rms 2 ppm integ 3.69 yr 95 80 66 52 37 23 9-6 -20-34 -49-63 -77-92 -106-120 15 ppm p-p -1.1 ppm snr 1.3 R06171 rms 2 ppm integ 3.89 yr 95 80 66 52 37 23 9-6 -20-34 -49-63 -77-92 -106-120 18 ppm p-p 1.1 ppm snr 0.9 G195 rms 3 ppm integ 1.74 yr 95 80 66 52 37 23 9-6 -20-34 -49-63 -77-92 -106-120 14 ppm p-p 3.4 ppm snr 3.8 G183 rms 3 ppm integ 3.74 yr 95 80 66 52 37 23 9-6 -20-34 -49-63 -77-92 -106-120 11 ppm p-p 2.3 ppm snr 3.0 G171 rms 2 ppm integ 4.25 yr 95 80 66 52 37 23 9-6 -20-34 -49-63 -77-92 -106-120 days 4_190 to 4_351 Wed Dec 22 12:24:47 2004

14 ppm p-p 3.4 ppm snr 3.8 G183 rms 2.6 theory 2.5 ppm integ 3.7 yr 95 80 66 52 37 23 9-6 -20-34 -49-63 -77-92 -106-120 D1 Array days 4_190 to 4_351 files: 2004_351_00 Wed Dec 22 12:42:00 2004

Transient RFI excision 100 sec Transient RFI excision daily Spectral RFI exclusion G183 SNR Peak SNR on REF. Integ. years Y Y Y 3.0 1.8 2.72 Y Y N 3.0 2.4 2.85 Y N N 2.5 7.7 2.98 TESTS OF RFI AMELIORATION VS LEVELS OF EXCISION & EXCLUSION

SUMMARY Array has been operating with 24 stations since 29 June 04 RFI/intermod issues have been the dominant challenge We have indications that we are seeing the D1 line consistent with D/H ~ 20 ppm SNR ~ 4 is marginal and we will need about 6 to 9 more months to approach a solid result

Summary of 327 MHz searches Authors year D/H (ppm) source Weinreb 1962 < 80 Cas A Cesarsky et al 1973 30 500 Sgr A Anantharamaiah 1979 < 58 Sgr A Blitz & Heiles 1987 < 60 anticenter Heiles et al 1993 < 50 Sgr A, Cas A Chengalur 1997 29 49 anticenter Linsky / FUSE 2004 primordial est. 28 Quasar Lyman-alpha D1 array 2004 20 30 anticenter