The Use of Programmable DSPs in Antenna Array Processing

Bromberg, Matthew C.; Brown, Donald R.

doi:10.1002/0470845902.ch5

Cited by 2 publications

(2 citation statements)

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“…It is convenient to vectorize the notation in equation (16) by assuming that we collect M samples from each period of the spreading code. We therefore define the k delayed and f k Dopplershifted spreading vector by (17) where n m ,m ϭ 1..M is a set of arbitrary M samples chosen within a single spreading-code (repetition) period. To avoid edge effects, we assume that the M samples are selected so that the n m T s Ϫ k values do not cross a code boundary.…”

Section: Maximum-likelihood Detection and Estimation Modelmentioning

confidence: 99%

“…and we can write the maximum-likelihood objective function, ML , as a function of (f k , k ), while holding other (f j , j ) fixed, as (41) Only the second term in equation (41) actually depends on (f k , k ); therefore, using the Herimitian symmetry property of the projection operator, we can write the second term in equation (41) as [17,18] (42)…”

Section: ϫ A(f)d ϭ X ϫ A(f)[a(f) H A(f)] ϫ1mentioning

confidence: 99%

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Maximum-Likelihood GPS Parameter Estimation

Progri

Bromberg²,

Michalson

2005

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Recently we proposed an acquisition process for a maximum-likelihood GPS receiver that considers the joint processing of all GPS satellite waveforms. The resulting estimator was shown to provide an elegant solution to the near -far problem and to perform better than the suboptimal sliding-correlator estimator. However, the proposed acquisition model included only the code search, which estimates just the time of arrival (TOA) between a GPS satellite and a maximum-likelihood GPS receiver. In this paper we enhance the acquisition process by including the estimation of Doppler along with the estimation of the TOA, which results in a two-dimensional Doppler and code search. A maximum-likelihood GPS receiver would require only one front-end hardware section for processing all GPS signals in view, thus simplifying the entire architecture of a GPS receiver. An assessment based on theoretical performance and simulation results indicates that a maximum-likelihood GPS receiver can achieve an order-of-magnitude performance improvement relative to a sliding-correlator GPS receiver. Simulation data will be validated in the near future using GPS acquisition data from the Novatel ProPack AG-G2ϩDB9-RT2, and the results of this work will be presented in a future publication.

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Section: Maximum-likelihood Detection and Estimation Modelmentioning

confidence: 99%

Section: ϫ A(f)d ϭ X ϫ A(f)[a(f) H A(f)] ϫ1mentioning

confidence: 99%