System and method for estimating the multi-path delays in a signal using a spatially blind antenna array
First Claim
1. In a method for estimating the multi-path delays in a signal received at an antenna array of k antenna elements, comprising estimating an impulse response at each k antenna, generating a space-time impulse response, forming a covariance matrix and resolving the covariance matrix with a known antenna array manifold, the improvement comprising the step of resolving the covariance matrix with a fictitious antenna array manifold.
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Abstract
A method is described that enables a system to estimate the individual times of arrival of multi-path signals components in a received signal while blind to the particular angular response characteristics of an antenna array. Additionally, a system is described that estimate the impulse response of the modulation channel. The impulse response is used to generate impulse response estimates for all multi-path signal components without reference to the actual angle of arrival of the signal. The impulse response for the multi-path constituents are directly associated with the time delays on each path, providing delay estimates for each path.
86 Citations
19 Claims
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1. In a method for estimating the multi-path delays in a signal received at an antenna array of k antenna elements, comprising estimating an impulse response at each k antenna, generating a space-time impulse response, forming a covariance matrix and resolving the covariance matrix with a known antenna array manifold, the improvement comprising the step of resolving the covariance matrix with a fictitious antenna array manifold.
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2. A method for estimating the multi-path delays τ
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i in a signal using a spatially blind antenna array comprising k arbitrary antenna elements, comprising the steps of;
generating an impulse response hk for each antenna element k in the antenna array;
determining a vectorized space-time impulse response I over the antenna array;
creating a covariance matrix C;
creating a fictitious array manifold Af, wherein Af is spatially blind and independent of the array characteristics; and
resolving the covariance matrix C with the fictitious manifold Af to thereby estimate the multi-path delays τ
i independent of the array characteristics. - View Dependent Claims (3, 4, 5, 6, 7, 8, 9)
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i in a signal using a spatially blind antenna array comprising k arbitrary antenna elements, comprising the steps of;
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10. A method of estimating the multi-path delays τ
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i of a sequence of j blocks of a signal received at an antenna array of k isotropic antenna elements, independently of the spatial array characteristics of the antenna array, comprising the steps of;
deriving channel impulse response estimates hj,k for each block j at each antenna k;
determining a vectorized aggregate space-time impulse response I for each block j;
forming an estimated covariance matrix for the sequence of j blocks;
providing an array manifold Af void of spatial information; and
,resolving the covariance matrix with the array manifold Af to determine the multi-path delays τ
i. - View Dependent Claims (14, 15, 16, 17)
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i of a sequence of j blocks of a signal received at an antenna array of k isotropic antenna elements, independently of the spatial array characteristics of the antenna array, comprising the steps of;
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11. The method of 10, wherein the impulse response estimate hj,k for block j is determined from the equation:
hj,k=(ZjZjH)−
1Zjrj,kwhere Zj is a delay matrix for block j and rjk is the column vector of the received signal for block j at antenna k of the antenna array, where k=1,2, . . . m.
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12. The method of 11, wherein the space-time impulse response vector I is formed by stacking the individual impulse response estimates hjk into a column vector.
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13. The method of 10, wherein the fictitious manifold Af is the aggregate of all vectors:
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18. A system for estimating the multi-path delays τ
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i in a signal using a spatially blind antenna array comprising;
an antenna array for receiving the signal;
a means for generating an impulse response hk for each antenna k in the antenna array;
a means determining a vectorized space-time impulse response I over the antenna array;
a means for creating a covariance matrix C a means for creating a fictitious manifold Af, wherein Af is spatially blind and independent of the array characteristics; and
,a means for resolving the covariance matrix C with the fictitious manifold Af to estimate the multi-path delays τ
i independent of the array characteristics. - View Dependent Claims (19)
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i in a signal using a spatially blind antenna array comprising;
Specification