Method and apparatus for predicting values of a varying periodic phenomenon
First Claim
1. A method of associating a sampled value y(ti) of a substantially periodic signal y(t), with an element Gy (i) in a set Gy, such that the sampled value y(ti) has a predetermined relationship to the order of the element Gy within the set, comprising the steps of:
- (a) acquiring a database of Nt samples of the substantially periodic signal y(t);
(b) growing the database by adding the sampled value y(ti) to the database without removing another sample from the database;
(c) evaluating the relative probability of the values of the substantially periodic function y(t) from the samples in the growing database; and
(d) assigning the value y(ti) to an element Gy (i), using the evaluated relative probability, so as to maximize the probability that subsequent values of y(t) may be assigned the remaining elements of set Gy according the predetermined relationship.
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Abstract
An apparatus for reducing image artifacts in NMR imaging matches elements of a set to values of a substantially periodic function so that the values exhibit a predetermined relationship to the elements. The matching is performed by evaluating the relative probability of the values of the substantially periodic function from the samples in the growing database of the values and assigning the values to the elements by using the evaluated relative probability, so as to maximize the probability that subsequent valves may be assigned the remaining elements according the predetermined relationship. A method for correcting the matching of values with elements freezes the database and acquires additional values which are substituted for earlier matched values based on the frozen database.
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Citations
13 Claims
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1. A method of associating a sampled value y(ti) of a substantially periodic signal y(t), with an element Gy (i) in a set Gy, such that the sampled value y(ti) has a predetermined relationship to the order of the element Gy within the set, comprising the steps of:
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(a) acquiring a database of Nt samples of the substantially periodic signal y(t); (b) growing the database by adding the sampled value y(ti) to the database without removing another sample from the database; (c) evaluating the relative probability of the values of the substantially periodic function y(t) from the samples in the growing database; and (d) assigning the value y(ti) to an element Gy (i), using the evaluated relative probability, so as to maximize the probability that subsequent values of y(t) may be assigned the remaining elements of set Gy according the predetermined relationship. - View Dependent Claims (2, 3, 4, 5, 6)
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7. A method of associating a value y(ti) of a substantially periodic signal y(t), with an element Gy (i) in a set Gy, such that the value y(ti) has a predetermined relationship to the order of the element Gy (i) within the set, comprising the steps of:
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(a) recording in a database Nt samples of the substantially periodic signal y(t); (b) freezing the database by neither adding nor removing samples; (c) evaluating the relative probability of the values of the substantially periodic function y(t) from the samples in the frozen database; and (d) assigning the value y(ti) to an element Gy (i), using the evaluated relative probability, so as to maximize the probability that subsequent values of y(t) may be assigned the remaining elements of set Gy according the predetermined relationship. - View Dependent Claims (8, 9, 10, 11, 12)
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13. A method of associating a values of a substantially periodic signal y(t), with the elements of set Gy, such that the values have a predetermined relationship to the order of the elements within the set, comprising the steps of:
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(a) acquiring a database of values of the substantially periodic signal y(t); (b) evaluating the relative probability of the values of the substantially periodic function y(t) from the samples in the database; (c) assigning a value y(ti) of the substantially periodic signal y(t) to an element Gy (i), by using the evaluated relative probability, so as to maximize the probability that subsequent values of y(t) may be assigned the remaining elements of set Gy according the predetermined relationship; (d) freezing the database by ceasing to record values of the substantially periodic signal y(t) subsequent to the time when each element Gy (i) has been associated with a value y(ti); (e) sampling the substantially periodic waveform y(t) to obtain an overscan value ys (tn); and (f) replacing a previously assigned value y(ti) with the overscan value ys (tn) so that the relationship between the assigned values of the substantially periodic signal y(t) and the elements of set Gy is made closer to the predetermined relationship.
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Specification