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hbak
hbak
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The uncertainty principle states that we cannot measure the time-frequency forthere is a signal except for intervalstrade off between time and frequency. So, finding instantaneous frequency components at specific time is impossible. However, the instantaneous frequency measure the frequency as a function of time. Which means using the instantaneous frequency we can find, the frequency components could be found for a signal at a specific time. How can you interpret this? Why don't we use the instantaneous frequency for time-frequency analysis?

The uncertainty principle states that we cannot measure the time-frequency for a signal except for intervals. So, finding instantaneous frequency at specific time is impossible. However, the instantaneous frequency measure the frequency as a function of time. Which means using the instantaneous frequency we can find the frequency components for a signal at specific time. How can you interpret this? Why don't use the instantaneous frequency for time-frequency analysis?

The uncertainty principle states that there is a trade off between time and frequency. So, finding frequency components at specific time is impossible. However, the instantaneous frequency measure the frequency as a function of time. Which means using the instantaneous frequency, the frequency components could be found for a signal at a specific time. How can you interpret this? Why don't we use the instantaneous frequency for time-frequency analysis?

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hbak
hbak
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Does the instantaneous frequency contradict the uncertainty principle?

The uncertainty principle states that we cannot measure the time-frequency for a signal except for intervals. So, finding instantaneous frequency at specific time is impossible. However, the instantaneous frequency measure the frequency as a function of time. Which means using the instantaneous frequency we can find the frequency components for a signal at specific time. How can you interpret this? Why don't use the instantaneous frequency for time-frequency analysis?