Time and Frequency Filter Properties
In analysing the properties of Allan variance and friends, it has proven useful to consider the filter properties on the normalize frequency. Starting with the definition for Allan variance for
where
Replacing the time series of with the Fourier transformed variant the Allan variance can be expressed in the frequency domain as
Thus the transfer function for Allan variance is
Read more about this topic: Allan Variance
Famous quotes containing the words time and, time, frequency and/or properties:
“His golden locks time hath to silver turned;
O time too swift, O swiftness never ceasing!
His youth ‘gainst time and age hath ever spurned,
But spurned in vain; youth waneth by increasing.
Beauty, strength, youth are flowers but fading seen;
Duty, faith, love are roots, and ever green.”
—George Peele (1559–1596)
“Keep your own secret, and get out other people’s. Keep your own temper, and artfully warm other people’s. Counterwork your rivals with diligence and dexterity, but at the same time with the utmost personal civility to them: and be firm without heat.”
—Philip Dormer Stanhope, 4th Earl Chesterfield (1694–1773)
“The frequency of personal questions grows in direct proportion to your increasing girth. . . . No one would ask a man such a personally invasive question as “Is your wife having natural childbirth or is she planning to be knocked out?” But someone might ask that of you. No matter how much you wish for privacy, your pregnancy is a public event to which everyone feels invited.”
—Jean Marzollo (20th century)
“The reason why men enter into society, is the preservation of their property; and the end why they choose and authorize a legislative, is, that there may be laws made, and rules set, as guards and fences to the properties of all the members of the society: to limit the power, and moderate the dominion, of every part and member of the society.”
—John Locke (1632–1704)