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shawrix
- 18
- 0
Is exponential function e to the power x[t] stable? My book uses BIBO and says its stable but for -x[t] it says its not stable. Is my book wrong?
An exponential signal stable is a type of signal that follows an exponential growth or decay pattern over time. This means that the magnitude of the signal increases or decreases exponentially at a constant rate.
An exponential signal stable is different from other types of signals, such as sinusoidal or linear signals, because it follows a specific mathematical function (exponential) rather than a periodic or linear pattern.
Some real-life examples of exponential signal stable include radioactive decay, population growth, and the charging/discharging of a capacitor in an electrical circuit.
An exponential signal stable can be identified by its shape on a graph, which is a curved line that either rises or falls at a constant rate. It can also be identified by its mathematical function, which is expressed as y = ae^bx, where a is the initial value and b is the growth or decay rate.
Understanding exponential signal stable is important in many fields of science and engineering, as it can help predict and analyze various natural phenomena and technological processes. It also plays a crucial role in mathematical modeling and data analysis.