Abstract: A method and apparatus for synthesizing pipelined input/output in a circuit design from high level synthesis is described. In one example, an operation is selected to be performed by a circuit, the operation including a plurality of partial operations of different types. The partial operations are ordered based on the ordering of the variables. A plurality of hardware components for performing the operations are represented with a data flow graph having edges and nodes, the edges and nodes being connected based on the ordering of partial operations. A plurality of solutions are simulated for performing the operations as hardware component combinations represented as paths on the data flow graph. For each solution, a cost including a number of edges and nodes traversed on the data flow graph is determined, and a solution is selected with the lowest cost as a hardware component combination for a circuit.

Abstract: Methods and apparatuses to optimize a circuit representation using unfolding as a preprocessing of the multirate folding. In at least one embodiment of the present invention, a portion of a data flow graph representation of a circuit is optimized using circuit operation level before using optimizing with data flow algorithm and mapping the design onto hardware. In an aspect, the present invention discloses circuit operation level optimization for data flow graph representations with optimizing zero inputs caused by the upsamplers, or with optimizing unused outputs caused by the downsamplers. In at least one embodiment of the present invention, multirate data graph is converted to a single rate data graph before data flow optimizing. In an aspect, converting a multirate data graph to a single rate data graph comprises unfolding the multirate data graph with minimum unfolding factors that are inversely proportional to the clock values.

Abstract: Methods and apparatuses for retiming of multirate system for clock period minimization with a polynomial time without sub-optimality. In an embodiment, a normalized factor vector for the nodes of multirate graph is introduced, allowing the formulation of the multirate graph retiming constraints to a form similar to a single rate graph. In an aspect, the retiming constraints are formulated to allowed the usage of linear programming methodology instead of integer linear programming, thus significantly reducing the complexity of the solving algorithm. The present methodology also uses multirate constraints, avoiding unfolding to single rate equivalent, thus avoiding graph size increase. In a preferred embodiment, the parameters of the multirate system are normalized to the normalized factor vector, providing efficient algorithm in term of computational time and memory usage, without any sub-optimality.

Abstract: Methods and apparatuses for retiming of multirate system for clock period minimization with a polynomial time without sub-optimality. In an embodiment, a normalized factor vector for the nodes of multirate graph is introduced, allowing the formulation of the multirate graph retiming constraints to a form similar to a single rate graph. In an aspect, the retiming constraints are formulated to allowed the usage of linear programming methodology instead of integer linear programming, thus significantly reducing the complexity of the solving algorithm. The present methodology also uses multirate constraints, avoiding unfolding to single rate equivalent, thus avoiding graph size increase. In a preferred embodiment, the parameters of the multirate system are normalized to the normalized factor vector, providing efficient algorithm in term of computational time and memory usage, without any sub-optimality.

Abstract: Methods and apparatuses for retiming of multirate system for clock period minimization with a polynomial time without sub-optimality. In an embodiment, a normalized factor vector for the nodes of multirate graph is introduced, allowing the formulation of the multirate graph retiming constraints to a form similar to a single rate graph. In an aspect, the retiming constraints are formulated to allowed the usage of linear programming methodology instead of integer linear programming, thus significantly reducing the complexity of the solving algorithm. The present methodology also uses multirate constraints, avoiding unfolding to single rate equivalent, thus avoiding graph size increase. In a preferred embodiment, the parameters of the multirate system are normalized to the normalized factor vector, providing efficient algorithm in term of computational time and memory usage, without any sub-optimality.

Abstract: Methods and apparatuses to optimize a circuit representation using unfolding as a preprocessing of the multirate folding. In at least one embodiment of the present invention, a portion of a data flow graph representation of a circuit is optimized using circuit operation level before using optimizing with data flow algorithm and mapping the design onto hardware. In an aspect, the present invention discloses circuit operation level optimization for data flow graph representations with optimizing zero inputs caused by the upsamplers, or with optimizing unused outputs caused by the downsamplers. In at least one embodiment of the present invention, multirate data graph is converted to a single rate data graph before data flow optimizing. In an aspect, converting a multirate data graph to a single rate data graph comprises unfolding the multirate data graph with minimum unfolding factors that are inversely proportional to the clock values.