Method for correlating chronologically discrete signal segments
First Claim
Patent Images
1. A method of correlating discrete-time signal segments, said method comprising the steps of:
- a) providing a signal for transmission from a transmitter to a receiver, said signal including a predetermined signal section; and
b) storing the predetermined signal section in the receiver as an erroned hierarchical sequence {tilde over (h)}, wherein said erroned hierarchical sequence {tilde over (h)} is represented by a hierarchical sequence h and an error sequence he as follows;
{tilde over (h)}(k)=h(k)+he(k),k=0, . . . ,m−
1,wherein m is a natural number and defines a length of the sequences, {tilde over (h)}, h and he, and wherein elements of {tilde over (h)} and h have a range of values;
{−
α
, +α
} and elements of he have a range of values;
{−
2α
, 0, +2α
}, wherein α
represents any real or complex number;
c) correlating the erroned hierarchical sequence {tilde over (h)} stored in step b) with a received signal received in the receiver to determine a position of the predetermined signal section in the received signal, said correlating comprises forming a sum of a correlation between the received signal and said hierarchical sequence h and a correlation between the received signal and said error sequence he.
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Abstract
The method determines the position of a predetermined known signal segment in a transmitted signal received in a receiver by means of a correlation between the received signal and a representation of the known signal segment stored in the receiver. The known signal segment is stored in the receiver as an erroned hierarchical sequence that is the sum of a hierarchical sequence and an error sequence. The correlation is formed as a sum of a correlation between the received signal and the stored hierarchical sequence and a correlation between the received signal end the stored error sequence.
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Citations
5 Claims
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1. A method of correlating discrete-time signal segments, said method comprising the steps of:
-
a) providing a signal for transmission from a transmitter to a receiver, said signal including a predetermined signal section; and b) storing the predetermined signal section in the receiver as an erroned hierarchical sequence {tilde over (h)}, wherein said erroned hierarchical sequence {tilde over (h)} is represented by a hierarchical sequence h and an error sequence he as follows;
{tilde over (h)}(k)=h(k)+he(k),k=0, . . . ,m−
1,wherein m is a natural number and defines a length of the sequences, {tilde over (h)}, h and he, and wherein elements of {tilde over (h)} and h have a range of values;
{−
α
, +α
} and elements of he have a range of values;
{−
2α
, 0, +2α
}, wherein α
represents any real or complex number;c) correlating the erroned hierarchical sequence {tilde over (h)} stored in step b) with a received signal received in the receiver to determine a position of the predetermined signal section in the received signal, said correlating comprises forming a sum of a correlation between the received signal and said hierarchical sequence h and a correlation between the received signal and said error sequence he. - View Dependent Claims (2, 5)
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3. A method of correlating discrete-time signal segments, said method comprising the steps of:
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a) providing a signal for transmission from a transmitter to a receiver, said signal including a predetermined signal section; and b) storing the predetermined signal section in the receiver as an erroned hierarchical sequence {tilde over (h)}, wherein said erroned hierarchical sequence {tilde over (h)} is represented by the hierarchical sequence h and the error sequence he as follows;
{tilde over (h)}(k)=h(k)+he(k),k=0, . . . ,m−
1,wherein m is a natural number and defines a length of the sequences, {tilde over (h)}, h and he and wherein elements of {tilde over (h)} and h have a range of values;
{−
α
, +α
} and elements of he have a range of values;
{−
α
, +α
}, wherein α
represents any real or complex number;c) correlating the erroned hierarchical sequence {tilde over (h)} stored in step b) with a received signal received in the receiver to determine a position of the predetermined signal section in the received signal, said correlating comprises forming a sum of a correlation between the received signal and said hierarchical sequence h and a correlation between the received signal and said error sequence he; wherein a correlation v(k) of said erroned hierarchical sequence {tilde over (h)} with the received signal s(k) is given by - View Dependent Claims (4)
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Specification