Señales y Sistemas

Maximum and minimum values of a signal – Signal and System

The maximum of a signal is defined as the maximum amplitude value of the signal:

The maximum exists when it is equal to the lowest upper bound (or supremum) of the signal, which is the smallest finite value greater than or equal to any amplitude value of the signal:

There where 𝑆𝑥 is the supreme of 𝑥(𝑡) in (1), and of 𝑥[𝑛] in (2), and where 𝑎𝑗 are all the upper bounds of the signal, that is, all those finite values that are greater than or equal to any amplitude value of the signal.

The minimum of a signal is defined as the minimum amplitude value of the signal:

The minimum exists when it is equal to the highest upper bound (or infimum) of the signal, which is the greatest finite value minur than or equal to any amplitude value of the signal:

There where I𝑥 es el infimum of 𝑥(𝑡) in (3), and of 𝑥[𝑛] in (4), and where 𝑎𝑗 are all the lower bounds of the signal, that is, all those finite values that are minors than or equal to any amplitude value of the signal.

Example:

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Elaborado por Prof. Larry Francis Obando – Technical Specialist – Educational Content Writer

Escuela de IngenierĂ­a ElectrĂłnica de la Universidad SimĂłn BolĂ­var, USB Valle de Sartenejas.

Escuela de IngenierĂ­a ElĂ©ctrica de la Universidad Central de Venezuela, UCV CCs

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