PSD-Time conversion functions

Using the Response Dynamics Function Toolkit, you can convert a PSD function to a time function, or convert a time function to a PSD function. For steps, see Convert SRS/PSD/Time functions.

PSD to Time conversion

The software performs these steps to generate a random time function from PSD:

1. The software determines the frequency domain resolution by a requested time period, T,

2. The software determines the maximum frequency by a given time interval, t,

3. The software uses a selected interpolation method (by default the log-log interpolation) to generate an evenly distributed PSD function, from the original one.

4. The software calculates the magnitude of the spectrum function:

5. The software randomly generates the phase angle of the spectrum function:

6. The software builds the complex spectrum functions:

7. The software performs Fast Fourier Transform (FFT) to convert the spectrum function into the time domain:

Time to PSD conversion

The software performs these steps to generate a PSD function from a time function:

1. The software determines the maximum frequency for a given time interval, t,

2. The software calculates the frequency domain resolution from the time period, T,

3. The software performs FFT to generate a spectrum function from the time function: The software uses a single-sided Fast Fourier Transform (based on Singleton's method).

4. The software calculates the PSD function:

Learn more

Fast Fourier Transformation (FFT)

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