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Instead of using a set of large, expensive dishes, LOFAR uses many thousands of simple antennas. Every antenna observes the full sky, and the telescope is aimed through signal-processing techniques. LOFAR's novel design allows the telescope to perform wide-angle observations as well as to observe in multiple directions simultaneously, neither of which are possible when using traditional dishes. In several ways, LOFAR will be the largest telescope in the world, and will enable ground-breaking research in several areas of astronomy and particle physics~\cite{Bruyn:02}. +The LOFAR (LOw Frequency ARray) telescope is the first of a new generation of radio telescopes. Instead of using a set of large, expensive dishes, LOFAR uses many thousands of simple antennas. Every antenna observes the full sky, and the telescope is pointed through signal-processing techniques. LOFAR's novel design allows the telescope to perform wide-angle observations as well as to observe in multiple directions simultaneously, neither of which are possible when using traditional dishes. In several ways, LOFAR will be the largest telescope in the world, and will enable ground-breaking research in several areas of astronomy and particle physics~\cite{Bruyn:02}. Another novelty is the elaborate use of software to process the telescope data in real time. Previous generations of telescopes depended on custom-made hardware to combine data, because of the high data rates and processing requirements. The availability of sufficiently powerful supercomputers however, allow the use of software to combine telescope data, creating a more flexible and reconfigurable instrument. Because LOFAR is driven by new science, flexibility in the design is essential in order to explore the possibilities and limits of our telescope. For processing LOFAR data, we use an IBM BlueGene/P (BG/P) supercomputer. The LOFAR antennas are grouped into stations, and each station sends its data (up to 198 Gb/s for all stations) to the BG/P. Inside the BG/P, the data are split and combined using both real-time signal-processing routines as well as two all-to-all exchanges. The output data streams are sufficiently reduced in size in order to be able to stream them out of the BG/P and store them on disks in our storage cluster. -In this paper, we will present the LOFAR \emph{beam former}: a collection of software pipelines that allow the LOFAR telescope to be pointed at hundreds of sources simultaneously. A \emph{beam} consists of a 1D stream of data representing the signal from a certain area in the sky, and thus is different from a correlator, which creates 2D snapshot images of the sky. Simplified, a beam former performs a weighted addition on the input signals, while a correlator multiplies the input signals. +In this paper, we will present the LOFAR \emph{beam former}: a collection of software pipelines that allow the LOFAR telescope to be pointed at hundreds of sources simultaneously. A \emph{beam} consists of a 1D stream of data representing the signal from a certain area in the sky, and thus is different from a correlator, which creates 2D snapshot images of the sky. [Simplified, a beam former performs a weighted addition on the input signals, while a correlator multiplies the input signals.] -It is LOFAR's unique design that allows us to point at many sources at once. Traditional telescopes use dishes which provide a narrow field-of-view, and thus are only sensitive to the source they are pointed at. LOFAR's antennas are omnidirectional. Groups of antennas (\emph{stations}) are sensitive to a wide field-of-view around the source. These \emph{station beams} are sent to the BG/P. The BG/P generates linear combinations of the station input data resulting in \emph{tied-array beams}, each of which represents a shift in pointing within the wide field-of-view of the stations. +It is LOFAR's unique design that allows us to point at many sources at once. Traditional telescopes use dishes which provide a narrow field-of-view: they are only sensitive to a small region around the source they are pointed at. LOFAR's antennas are omnidirectional. Groups of antennas (\emph{stations}) are sensitive to a wide field-of-view around the source. These views, or \emph{station beams}, are sent to the BG/P, which generates linear combinations of the station input data resulting in \emph{tied-array beams}, each of which represents an offset pointing within the wide field-of-view of the stations. -(niet noodzakelijk, wel interessant..) The primary scientific use case driving the work presented in this paper is pulsar research. A pulsar is a rapidly rotating, highly magnetised neutron star, which emits electromagnetic radiation from its poles. Similar to the behaviour of a lighthouse, the radiation is visible to us only if one of the poles points towards the Earth, and subsequently appears to us as a very regular series of pulses, with a period as low as 1.4~ms~\cite{Hessels:06}. Pulsars are weak radio sources, and their individual pulses often do not rise above the background noise that fills our universe. Our beam former can track several pulsars at LOFAR's full observational bandwidth, producing either complex voltages or Stokes IQUV data. Alternatively, the beam former is capable of efficiently performing sky surveys to discover new pulsars (or other radio sources) by covering the sky with hundreds of tied-array beams using our Stokes I pipeline. +[The primary scientific use case driving the work presented in this paper is pulsar research. A pulsar is a rapidly rotating, highly magnetised neutron star, which emits electromagnetic radiation from its poles. Similar to the behaviour of a lighthouse, the radiation is visible to us only if one of the poles points towards the Earth, and subsequently appears to us as a very regular series of pulses, with a period as low as 1.4~ms~\cite{Hessels:06}. Pulsars are weak radio sources, and their individual pulses often do not rise above the background noise that fills our universe. Our beam former can track several pulsars at LOFAR's full observational bandwidth, producing either complex voltages or Stokes IQUV data. Alternatively, the beam former is capable of efficiently performing sky surveys to discover new pulsars (or other radio sources) by covering the sky with hundreds of tied-array beams using our Stokes I pipeline.] The main contributions of this paper are threefold. First, we demonstrate the power of a \emph{software\/} telescope; its flexibility allows us to add new functionality with modest effort. Second, we show how the use of supercomputer technology enables new science in astronomy and particle physics. Third, we elaborately analyse the performance of our application and the effectiveness of our optimisations. -In this paper, we will show how a software solution and the use of a massively parallel machine allows us to achieve these feats. We provide an in-depth study on all performance aspects, real-time behaviour, and scaling characteristics. This paper is organised as follows. First, we will describe the key characteristics of the IBM BlueGene/P supercomputer in Section \ref{Sec:bluegene}. Section \ref{Sec:pipelines} describes the implementation of our pipelines, followed by the performance analysis in Section \ref{Sec:performance}. We briefly discuss related work in Section \ref{Sec:related-work}, and conclude in Section \ref{Sec:conclusions}. +In this paper, we will show how a software solution and the use of a massively parallel machine allows us to achieve these feats. We provide an in-depth study on all performance aspects, real-time behaviour, and scaling characteristics. This paper is organised as follows. First, we will describe the key characteristics of the IBM BlueGene/P supercomputer in Section \ref{Sec:bluegene}. Then, we describe LOFAR and beam forming in more detail in Section \ref{Sec:LOFAR}. Section \ref{Sec:pipelines} describes the implementation of our pipelines, followed by the performance analysis in Section \ref{Sec:performance}. We briefly discuss related work in Section \ref{Sec:related-work}, and conclude in Section \ref{Sec:conclusions}. \section{IBM BlueGene/P} \label{Sec:bluegene} @@ -97,6 +97,7 @@ The BG/P contains several networks. A fast \emph{3-dimensional torus\/} connects We customised the I/O node software stack~\cite{Yoshii:10} and run a multi-threaded program on each I/O~node which is responsible for the handling of both the input and the output. Even though the I/O nodes each have a 10~Gb/s Ethernet interface, they do not have enough computation power to handle 10~Gb/s of data. The overhead of handling IRQs, IP, and UDP/TCP puts a high load on the 850~MHz cores of the I/O nodes, limiting performance. An I/O node can output at most 3.1~Gb/s, unless it has to handle station input (3.1~Gb/s per station), in which case it can output at most 1.1~Gb/s. We implemented a low-overhead communication protocol called FCNP~\cite{Romein:09a} to efficiently transport data to and from the compute nodes, which perform the required signal processing. The I/O nodes forward the results to our storage cluster, which can sustain a throughput up to 80~Gb/s. \section{LOFAR and Beam Forming} +\label{Sec:LOFAR} \begin{figure}[t] \subfigure[Locations of the stations.]{ @@ -124,9 +125,9 @@ We customised the I/O node software stack~\cite{Yoshii:10} and run a multi-threa The LOFAR antennas are grouped in \emph{stations}. The stations are strategically placed, with 20 stations acting as its centre (the \emph{core}) and 24 stations at increasing distances from the core, spanning five nations (see Figure \ref{fig:map}). A core station can act as two individual stations in some observational modes, resulting in a total of 64 stations. A station is able to produce 248 frequency subbands of 195~kHz in the sensitivity range from 10~MHz to 250~MHz. Each sample consists of two complex 16-bit integers, representing the amplitude and phase of the X and Y polarisations of the antennas. -Even though the antennas are omnidirectionally, they can be pointed due to the fact that the speed of electromagnetic waves is finite. Signals emitted by a source reach different antennas at different times (see Figure \ref{fig:delay}). A process called \emph{delay compensation} delays the signals such that they align (are \emph{coherent}) for the desired source. Beam forming subsequently adds the aligned signals. The stations perform delay compensation and beam forming to combine the antenna signals into a station beam with a wide field-of-view. The BG/P subsequently combines the signals from different stations in order to form tied-array beams within the sensitive area of the station beams (see Figure \ref{fig:pencilbeams}). In the BG/P, the samples from different stations are shifted with respect to each other to compensate delay at a sample-level granularity. Sub-sample delay compensation is performed by a complex multiplication per sample, which shifts the phase of each sample. The weights used in the complex multiplication depend on the location of the stations, the observational frequency of the sample, and the sky coordinates of the tied-array beam. The beam former thus creates tied-array beams by adding the station signals using different weights for each beam. +Even though the antennas are omnidirectionally, they can be pointed due to the fact that the speed of electromagnetic waves is finite. Signals emitted by a source reach different antennas at different times (see Figure \ref{fig:delay}). A process called \emph{delay compensation} delays the signals such that they align (are \emph{coherent}) for the desired source. Beam forming subsequently adds the aligned signals. The stations perform delay compensation and beam forming to combine the antenna signals into a station beam with a wide field-of-view. The BG/P subsequently combines the signals from different stations in order to form tied-array beams within the sensitive area of the station beams (see Figure \ref{fig:pencilbeams}). In the BG/P, the samples from different stations are shifted with respect to each other to compensate delay at a sample-level granularity. Sub-sample delay compensation is performed by a complex multiplication per sample, which shifts the phase of each sample. The weights used in the complex multiplication depend on the location of the stations, the observational frequency of the sample, and the sky coordinates of the tied-array beam. The beam former thus creates tied-array beams by adding the station signals using different complex weights for each beam. -Our beam former supports several LOFAR pipelines. The \emph{complex voltages} pipeline stores the tied-array beams as is. The \emph{Stokes IQUV} pipeline transforms the complex voltages into Stokes parameters representing various polarisation aspects of the signal. Finally, the \emph{Stokes I} pipeline stores just the signal strength for each beam, and can be integrated temporally in order to increase the number of tied-array beams that can be formed. Finally, our software can produce the Stokes parameters of an \emph{incoherent} beam, which is an accumulation of unweighted station signals. The incoherent beam is less sensitive than a tied-array beam, but it maintains the wide field-of-view of the stations. The incoherent beam is produced in parallel with other pipelines, and is used to detect the presence of sources, but does not reveal their location within the station beams. +Our beam former supports several pipelines. The \emph{complex voltages} pipeline stores the tied-array beams as is. The \emph{Stokes IQUV} pipeline transforms the complex voltages into Stokes parameters representing various polarisation aspects of the signal. Finally, the \emph{Stokes I} pipeline stores just the signal strength for each beam, and can be integrated temporally in order to increase the number of tied-array beams that can be formed. Finally, our software can produce the Stokes parameters of an \emph{incoherent} beam, which is an accumulation of unweighted station signals. The incoherent beam is less sensitive than a tied-array beam, but it maintains the wide field-of-view of the stations. The incoherent beam is produced in parallel with other pipelines, and is used to detect the presence of sources, but does not reveal their location within the station beams. \section{Beam Former Pipelines} \label{Sec:pipelines} @@ -136,7 +137,7 @@ In this section, we will describe in detail how the full signal-processing pipel \begin{figure}[ht] \center \includegraphics[width=0.8\textwidth]{processing.pdf} -\caption{The on-line pipelines of LOFAR. The imaging and UHEP modes are outside the scope of this work.} +\caption{The on-line pipelines of LOFAR. The imaging and UHEP pipelines are outside the scope of this work.} \label{fig:processing} \end{figure} @@ -158,7 +159,7 @@ The all-to-all exchange is asynchronous. Once a compute core receives a complete \subsection{Beam Forming} -The beam former combines the chunks from all stations, producing a chunk for each tied-array beam. Each beam is formed using different weights for the frequency of the channel, the locations of the stations, and the beam coordinates. The positional weights are precomputed by the I/O nodes and sent along with the data to avoid a duplicated effort by the compute nodes. The delays are applied to the station data through complex multiplications and additions, on both the X and the Y polarisation samples from the stations. +The beam former combines the chunks from all stations, producing a chunk for each tied-array beam. Each beam is formed using different complex weights for the frequency of the channel, the locations of the stations, and the beam coordinates. The positional weights are precomputed by the I/O nodes and sent along with the data to avoid a duplicated effort by the compute nodes. The delays are applied to the station data through complex multiplications and additions, covering both the X and the Y polarisation samples. %The delays are applied to the station data through complex multiplications and additions, programmed in assembly. In order to take full advantage of the L1 cache and the available registers, data is processed in sets of 6 stations, producing 3 beams, in portions of 128 samples, or a subset thereof to cover the remainders. While the exact ideal set size in which the data is to be processed is platform specific, we have shown in previous work that similar tradeoffs exist for similar problems across different architectures~\cite{Nieuwpoort:09}. @@ -204,7 +205,7 @@ Figure \ref{fig:dispersed-signal} illustrates pulses of pulsar J0034-0534 at fou \end{minipage} \end{figure} -Dedispersion is performed in the frequency domain, effectively by doing a 4096-point FFT that splits a 12~kHz channel into 3~Hz subchannels. The phases of the observed samples are corrected by applying a chirp function, i.e., by multiplication with precomputed, channel-dependent, complex weights. These multiplications are programmed in assembly, to reduce the computational costs. A backward FFT is done to revert to 12~kHz channels. +Dedispersion is performed in the frequency domain, effectively by doing a 4096-point FFT that splits a channel into 3~Hz subchannels. The phases of the observed samples are corrected by applying a chirp function, i.e., by multiplication with precomputed, channel-dependent, complex weights. These multiplications are programmed in assembly, to reduce the computational costs. A backward FFT is done to revert to 12~kHz channels. Figure~\ref{fig:dedispersion-result} shows the observed effectiveness of channel-level dedispersion, which improves the effective time resolution from 0.51~ms to 0.082~ms, revealing a more detailed pulse and a better signal-to-noise ratio. Dedispersion thus contributes significantly to the data quality, but it also comes at a significant computational cost due to the two FFTs it requires. It demonstrates the power of using a \emph{software\/} telescope: the pipeline component was implemented, verified, and optimised in only one month time. @@ -222,7 +223,7 @@ Due to memory constrains on the compute cores, the cores that performed the beam The output cores again receive the chunks asynchronously, which we overlap with computations. For each chunk, the dimensions of the data are reordered into their final ordering. Reordering is necessary, because the data order that will be written to disk is not the same order that can be produced by our computations without taking heavy cache penalties. Once all of the chunks are received and reordered, they are forwarded to the I/O node. -For the distribution of the workload over the available output cores, three factors have to be considered. First, all of the data belonging to the same beam has to be processed by output cores in the same pset, to ensure that one I/O node can concatenate all of the 0.25 second chunks that belong to the beam. Second, the maximum output rate per I/O node has to be respected. Finally, the presence of the first all-to-all exchange, which uses the same network at up to 198~Gb/s. The second exchange uses up to 80~Gb/s. Even though each link sustains 3.4~Gb/s, it has to process the traffic from four cores, as well as traffic routed through it between other nodes. The network links in the BG/P become overloaded unless the output cores are scattered enough to spread the load. +For the distribution of the workload over the available output cores, three factors have to be considered. First, all of the data belonging to the same beam has to be processed by output cores in the same pset, to ensure that one I/O node can concatenate all of the 0.25 second chunks that belong to the beam. Second, the maximum output rate per I/O node has to be respected. Finally, the presence of the first all-to-all exchange, which uses the same network at up to 198~Gb/s. The second exchange uses up to 80~Gb/s. Even though each link sustains 3.4~Gb/s, it has to process the traffic from four cores, as well as traffic routed through it between other nodes. The network links in the BG/P become overloaded unless the output cores are scattered sufficiently. \subsection{Transport to Disks} Once an output core has received and reordered all of its data, the data are sent to the core's I/O node. The I/O node forwards the data over TCP/IP to the storage cluster. To avoid any stalling in our pipeline due to network congestion or disk issues, the I/O node uses a best-effort buffer which drops data if it cannot be sent. @@ -235,9 +236,9 @@ We will focus our performance analysis on edge cases that are of astronomical in \subsection{Overall Performance} % TODO: getallen kloppen niet.. 13 beams is 80.6 Gb/s, en met 70 Gb/s zouden we 11 beams aan moeten kunnen -Figure \ref{fig:stations-beams} shows the maximum number of beams that can be created when using a various number of stations, in each of the three modes: complex voltages, Stokes IQUV, and Stokes I. In both the complex voltages and the Stokes IQUV modes, the pipeline is I/O bound. Each beam is 6.2~Gb/s wide. We can make at most 12 beams without exceeding the available 80~Gb/s to our storage cluster. If 64 stations are used, the available bandwidth is 70~Gb/s due to the fact that an I/O node can only output 1.1~Gb/s if it also has to process station data. The granularity with which the output can be distributed over the I/O nodes, as well as scheduling details, determine the actual number of beams that can be created, but in all cases, the beam former can create at least 10 beams at LOFAR's full observational bandwidth. +Figure \ref{fig:stations-beams} shows the maximum number of beams that can be created when using a various number of stations, in each of the three pipelines: complex voltages, Stokes IQUV, and Stokes I. Both the complex voltages and the Stokes IQUV pipelines are I/O bound. Each beam is 6.2~Gb/s wide. We can make at most 12 beams without exceeding the available 80~Gb/s to our storage cluster. If 64 stations are used, the available bandwidth is 70~Gb/s due to the fact that an I/O node can only output 1.1~Gb/s if it also has to process station data. The granularity with which the output can be distributed over the I/O nodes, as well as scheduling details, determine the actual number of beams that can be created, but in all cases, the beam former can create at least 10 beams at LOFAR's full observational bandwidth. -In the Stokes I mode, we applied several integration factors (1, 2, 4, 8, and 12) in order to show the trade-off between beam quality and the number of beams. Integration factors higher than 12 does not allow significantly more beams to be created, but could be used in order to further reduce the total output rate. For low integration factors, the beam former is again limited by the available output bandwidth. Once the Stokes I streams are integrated sufficiently, the system becomes bounded by the compute nodes: if only signals from a few stations have to be combined, the beam former is limited by the amount of available memory required to store the beams. If more input has to be combined, the beam former becomes limited by the CPU power available in the compute cores. For observations for which a high integration factor is acceptable, the beam former is able to create 155 up to 543 tied-array beams, depending on the number of stations used. For observations which need a high time resolution and thus a low integration factor, the beam former is still able to create at least 42 tied-array beams. +In the Stokes I pipeline, we applied several integration factors (1, 2, 4, 8, and 12) in order to show the trade-off between beam quality and the number of beams. Integration factors higher than 12 does not allow significantly more beams to be created, but could be used in order to further reduce the total output rate. For low integration factors, the beam former is again limited by the available output bandwidth. Once the Stokes I streams are integrated sufficiently, the system becomes bounded by the compute nodes: if only signals from a few stations have to be combined, the beam former is limited by the amount of available memory required to store the beams. If more input has to be combined, the beam former becomes limited by the CPU power available in the compute cores. For observations for which a high integration factor is acceptable, the beam former is able to create 155 up to 543 tied-array beams, depending on the number of stations used. For observations which need a high time resolution and thus a low integration factor, the beam former is still able to create at least 42 tied-array beams. \begin{table}[t] \center -- GitLab