Low-frequency interferometry: Design, calibration, and analysis towards detecting the epoch of reionization

Low-frequency interferometry provides us with the possibility of directly observing, via red-shifted 21cm emission, the ionization of the primordial intergalactic medium by radiation from the first stars and black holes. Building such interferometers presents daunting technical challenges related to the cross-correlation, calibration, and analysis of data from large antenna arrays with wide fields-of-view in an observing band below 200 MHz.;Addressing cross-correlation data processing, I present a general-purpose correlator architecture that uses standard 10-Gbit Ethernet switches to pass data between flexible hardware modules containing Field Programmable Gate Array chips. These chips are programmed using open-source signal processing libraries developed to be flexible, scalable, and chip-independent. This work reduces the time and cost of implementing a wide range of signal processing systems, and facilitates upgrading to new generations of processing technology. This correlator architecture is supporting the incremental build-out of the Precision Array for Probing the Epoch of Reionization.;Targeting calibration concerns, I present a filtering technique that can be applied to individual baselines of wide-bandwidth, wide-field interferometric data to geometrically select regions on the celestial sphere that contain primary calibration sources. The technique relies on the Fourier transformation of wide-band frequency spectra from a given baseline to obtain one-dimensional "delay images", and then the transformation of a time-series of delay images to obtain two-dimensional "delay/delayrate images." These filters are augmented by a one-dimensional, complex CLEAN algorithm has been developed to compensate for data-excision effects related to the removal of radio frequency interference. This approach allows CLEANed, source-isolated data to be used to isolate bandpass and primary beam gain functions. These techniques are applied to PAPER data as a demonstration of their value in calibrating a new generation of low-frequency radio interferometers with wide relative bandwidths and large fields-of-view.;Finally, I describe PAPER's overall architecture and summarize two PAPER deployments: a 4-antenna array in of Western Australia and an 8-antenna array in Green Bank, WV. After reporting on system characterization and data analysis techniques, I present an all-sky map synthesized between 139 MHz and 174 MHz using data from both arrays that reaches down to 80 mJy (4.9 K, for a beam size of 2.15e-5 steradians at 154 MHz), with a 10 mJy (620 mK) thermal noise level that indicates what would be achievable with better foreground subtraction. I calculate angular power spectra (Cℓ) in a cold patch and determine them to be dominated by point sources. Although the sample variance of foregrounds dominates errors in these power spectra, I measure a thermal noise level of 310 mK at ℓ = 100 for a 1.46-MHz band centered at 164.5 MHz. This sensitivity level is approximately three orders of magnitude in temperature above the expected level of 21cm fluctuations associated with reionization.