Question about transfer function and amplitudes

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Multiplying a transfer function by an input signal's amplitude after substituting in omega can yield the output amplitude when converted to polar form. This method serves as a shortcut to determine the output amplitude without needing the complete output function. It simplifies calculations in systems analysis by focusing on amplitude rather than full response representation. Understanding the relationship between the transfer function and input amplitude is crucial for accurate predictions. This approach is effective for analyzing system behavior efficiently.
Ry122
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after substituting in your omega, can you multiply a transfer function by an input signal's amplitude, and expect the result to be the amplitude of the output? (once converted to polar)
This might be a shortcut way to find your amplitude when you don't really need a representation of the whole entire output function.
 
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What mathematics software should engineering students use? Is it correct that much of the engineering industry relies on MATLAB, making it the tool many graduates will encounter in professional settings? How does SageMath compare? It is a free package that supports both numerical and symbolic computation and can be installed on various platforms. Could it become more widely used because it is freely available? I am an academic who has taught engineering mathematics, and taught the...

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