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A systolic array is composed of matrix-like rows of [[data processing unit]]s called cells. Data processing units (DPUs) are similar to [[central processing unit]]s (CPUs), (except for the usual lack of a [[program counter]],<ref>The Paracel GeneMatcher series of systolic array processors do have a [[program counter]]. More complicated algorithms are implemented as a series of simple steps, with shifts specified in the instructions.</ref> since operation is [[transport triggered architecture|transport-triggered]], i.e., by the arrival of a data object). Each cell shares the information with its neighbors immediately after processing. The systolic array is often rectangular where data flows across the array between neighbour [[data processing unit|DPU]]s, often with different data flowing in different directions. The data streams entering and leaving the ports of the array are generated by auto-sequencing memory units, ASMs. Each ASM includes a data [[Counter (digital)|counter]]. In [[embedded system]]s a data stream may also be input from and/or output to an external source.
An example of a systolic [[algorithm]] might be designed for [[matrix multiplication]]. One [[matrix (
Systolic arrays are arrays of [[data processing unit|DPU]]s which are connected to a small number of nearest neighbour DPUs in a mesh-like topology. DPUs perform a sequence of operations on data that flows between them. Because the traditional systolic array synthesis methods have been practiced by algebraic algorithms, only uniform arrays with only linear pipes can be obtained, so that the architectures are the same in all DPUs. The consequence is, that only applications with regular data dependencies can be implemented on classical systolic arrays. Like [[Single instruction, multiple data|SIMD]] machines, clocked systolic arrays compute in "lock-step" with each processor undertaking alternate compute | communicate phases. But systolic arrays with asynchronous handshake between DPUs are called ''wavefront arrays''.
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