In signal processing, the sensitivity to noise detection can vary depending on the specific application and the characteristics of the noise and signal being processed. However, in general, a second-order operator tends to be more sensitive to noise detection compared to a first-order operator.
This steeper roll-off characteristic allows the second-order operator to attenuate higher-frequency noise components more effectively compared to a first-order operator. Therefore, a second-order operator can be more sensitive to noise detection because it can provide better noise reduction, especially for higher-frequency noise.
It's important to note that the specific characteristics and requirements of the signal and noise in a given application can influence the choice of the operator.
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