## 12.3. Exercises

EXERCISE 12.11.

Calculate the FRFT to the sum of two *chirps* given below:

for an order sweeping the range between 0 and 2 with an increment of 0.1.

- Plot the instantaneous frequency law for each component of the signal.
- Estimate the linear modulation rate using different FRFT representations.

EXERCISE 12.12.

Consider the signal:

where *b* stands for a Gaussian noise.

- Estimate the signal parameters using the FRFT.
- Calculate the minimum SNR, for which it is still possible to estimate these parameters.

EXERCISE 12.13.

Consider the following signal:

Express the time-frequency content of this signal as the sum of two chirps using the FRFT.

EXERCISE 12.14.

Consider the signal below:

- Plot the instantaneous frequency law for each component of the signal.
- Estimate the parameters of each component using the FRFT.
- Propose a solution to increase the obtained resolution.

EXERCISE 12.15.

Let us consider the following sinusoidal frequency modulation:

- Model the phase of this signal ...

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