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Mason's gain formula (MGF) is a method for finding the transfer function of a linear signal-flow graph (SFG). The formula was derived by Samuel Jefferson Mason, whom it is also named after. MGF is an alternate method to finding the transfer function algebraically by labeling each signal, writing down the equation for how that signal depends on other signals, and then solving the multiple equations for the output signal in terms of the input signal. MGF provides a step by step method to obtain the transfer function from a SFG. Often, MGF can be determined by inspection of the SFG. The method can easily handle SFGs with many variables and loops including loops with inner loops. MGF comes up often in the context of control systems, microwave circuits and digital filters because these are ofte

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  • La fórmula de Mason (o fórmula de ganancia) es un método para encontrar la relación entre dos variables (función de transferencia) cuando disponemos del gráfico de flujo de señal. Se usa con frecuencia en la teoría de control, tras haber sido obtenida por .​ También se puede emplear utilizando el diagrama de bloques. Se trata de un método alternativo a la resolución de las ecuaciones algebraicas, que puede ser más o menos complicado en función del sistema que estudiemos. (es)
  • Mason's gain formula (MGF) is a method for finding the transfer function of a linear signal-flow graph (SFG). The formula was derived by Samuel Jefferson Mason, whom it is also named after. MGF is an alternate method to finding the transfer function algebraically by labeling each signal, writing down the equation for how that signal depends on other signals, and then solving the multiple equations for the output signal in terms of the input signal. MGF provides a step by step method to obtain the transfer function from a SFG. Often, MGF can be determined by inspection of the SFG. The method can easily handle SFGs with many variables and loops including loops with inner loops. MGF comes up often in the context of control systems, microwave circuits and digital filters because these are often represented by SFGs. (en)
  • La regola di Mason viene impiegata per il calcolo della funzione di trasferimento di un sistema, rappresentato mediante un diagramma di flusso. Deve il suo nome a . La formula è la seguente: dove: * Δ = Determinante del grafo * yin = variabile d'ingresso * yout = variabile di uscita * G = Funzione di trasferimento * N = Numero totale di percorsi per andare da yin a yout * Gk = Prodotto delle trasferenze del k-esimo percorso per andare da yin a yout * L1 = Somma di prodotti delle trasferenze costituenti anelli * L2 = Somma di prodotti di trasferenze di coppie di anelli (con nessun punto a comune) * L3 = Somma di prodotti di trasferenze di terne di anelli che non si toccano * Ln = Somma di prodotti di trasferenze di n-ple di anelli che non si toccano * Δk = Il valore di Δ (detto discriminante) privato dei termini costituenti la Gk, o aventi nodi a comune con tali percorsi. (it)
  • Reguła Masona (wzór Masona, ang. Mason’s gain formula, MGF) – metoda znajdowania transmitancji liniowego grafu przepływu sygnałów. (pl)
  • 梅森增益公式(Mason's Gain Formula, MGF)是寻找线性信号流图(SFG)传递函数的方法。该公式是推导出的, 也是用他的名字命名的。MGF是用代数方法标记每个信号,将信号依赖于其他信号的方式写成方程,然后求解多元方程组得出输出信号与输入信号的关系,以求传递函数的方法。MGF提供了由信号流图一步一步获得传递函数的方法。通常,MGF可以通过检查信号流图确定。该方法可以很容易地处理多变量、多回路包括内循环回路的信号流图。MGF经常出现在控制系统和数字滤波器的内容中,因为控制系统和数字滤波器常會用信号流图表示。 (zh)
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  • La fórmula de Mason (o fórmula de ganancia) es un método para encontrar la relación entre dos variables (función de transferencia) cuando disponemos del gráfico de flujo de señal. Se usa con frecuencia en la teoría de control, tras haber sido obtenida por .​ También se puede emplear utilizando el diagrama de bloques. Se trata de un método alternativo a la resolución de las ecuaciones algebraicas, que puede ser más o menos complicado en función del sistema que estudiemos. (es)
  • Reguła Masona (wzór Masona, ang. Mason’s gain formula, MGF) – metoda znajdowania transmitancji liniowego grafu przepływu sygnałów. (pl)
  • 梅森增益公式(Mason's Gain Formula, MGF)是寻找线性信号流图(SFG)传递函数的方法。该公式是推导出的, 也是用他的名字命名的。MGF是用代数方法标记每个信号,将信号依赖于其他信号的方式写成方程,然后求解多元方程组得出输出信号与输入信号的关系,以求传递函数的方法。MGF提供了由信号流图一步一步获得传递函数的方法。通常,MGF可以通过检查信号流图确定。该方法可以很容易地处理多变量、多回路包括内循环回路的信号流图。MGF经常出现在控制系统和数字滤波器的内容中,因为控制系统和数字滤波器常會用信号流图表示。 (zh)
  • Mason's gain formula (MGF) is a method for finding the transfer function of a linear signal-flow graph (SFG). The formula was derived by Samuel Jefferson Mason, whom it is also named after. MGF is an alternate method to finding the transfer function algebraically by labeling each signal, writing down the equation for how that signal depends on other signals, and then solving the multiple equations for the output signal in terms of the input signal. MGF provides a step by step method to obtain the transfer function from a SFG. Often, MGF can be determined by inspection of the SFG. The method can easily handle SFGs with many variables and loops including loops with inner loops. MGF comes up often in the context of control systems, microwave circuits and digital filters because these are ofte (en)
  • La regola di Mason viene impiegata per il calcolo della funzione di trasferimento di un sistema, rappresentato mediante un diagramma di flusso. Deve il suo nome a . La formula è la seguente: dove: * Δ = Determinante del grafo * yin = variabile d'ingresso * yout = variabile di uscita * G = Funzione di trasferimento * N = Numero totale di percorsi per andare da yin a yout * Gk = Prodotto delle trasferenze del k-esimo percorso per andare da yin a yout * L1 = Somma di prodotti delle trasferenze costituenti anelli * L2 = Somma di prodotti di trasferenze di coppie di anelli (con nessun punto a comune) * L3 = Somma di prodotti di trasferenze di terne di anelli che non si toccano * Ln = Somma di prodotti di trasferenze di n-ple di anelli che non si toccano * Δk = Il valore di Δ (detto d (it)
rdfs:label
  • Fórmula de Mason (es)
  • Regola di Mason (it)
  • Mason's gain formula (en)
  • Reguła Masona (pl)
  • 梅森增益公式 (zh)
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