mathematical relation with signals parameters

Hello Signal processing experts,

can anyone guide me good literature related relationship between signal parameters vs its attributes.

Signal parameters: Amplitude, Frequency, Damping constant, Phase

Signal attributes: Acceleration (max min), energy, peak value, RMS, Event duration of signal T, dominant frequency

Thank you

Answer 1

[Star Strider]

Some of those are related and interdependent, for example ‘acceleration’ (that I assume means ‘slope’ of the waveform), amplitude and frequency are likely highly correlated. Others, such as damping constant, duration, and others are properties of the system that created the signal. I doubt that there are general ‘rules’ for any of them.

[Ill ch]

Thank you very much for this information. However i am searching some mathematical basic rules like i found just

1. Energy proportional to the square of Amplitude

2. acceleration proportinal to the Amplitude as well as square of frequency

Your comments on my study (1 and 2 )highly appreciable.

Thank you very much

[Star Strider]

As a general rule, power is the square of the amplitude. The amplitude itself is generally considered to be energy.

Acceleration would be the second derivative of position (possibly amplitude) as a function of time. I am not certain any other relation holds.

[Ill ch]

Thank you . I agree with your explanation

[Star Strider]

As always, my pleasure!