Method for multiple antenna joint time of arrival and angle of arrival estimation

Abstract

A method includes: accessing a ranging signal transmitted from a transmitter and received at a set of antenna elements via a channel; recording time domain samples representing the ranging signal; accessing steering matrices characterized by a time delay grid, a phase angle grid, and distances between antenna elements and a reference antenna element; generating a structured data representation of the time domain samples characterized by the steering matrices; calculating a sparse representation of the channel by executing Li-norm regularization based on the structured data representation; and calculating a time of arrival estimate and an angle of arrival estimate for the ranging signal based on the sparse representation of the channel.

Description

[0001]-- - ,, - - , .. . .. . -- . ,, .,..,, -.-,,,.. --,.. ,, -- , .. . . -- , ,., , , - - . ,, . , . , , , ,. , , , . , , , ,. ,,, -- –, – -., - . . - , , , , . . . . , , , , - . -. , , . - . -- . . . . , , , . ,. ,,, ,- . . - , , . , -- - . . , – – , . , .., , . , , , , .., , , . – – “ ”..,- , . , - -- - – , – . ..,. , - “ ” - .., .., , , ,. , , - - . .., , , . , . , -- , , “ ” - . . , , , – , – . . .., , .. , . , , “ ”,..., , - , , , . , .., , - .., , . . , . , -- – , – , . ..., , - , . ,, . , .., , .-,, , , -- - -- , . , .., - . . , . . , , . , . ,. , . , , , , , , ---- “”,, , . “” . , .., , .., , , .., . .., , .., , . , , . . - ,, .- , . .- - , -. . , .., - , . , - , - . - , --- - - - - . - . - - .- . . .. , ., -. , - - .., , , - . - - - - ., - , .. . ,. , . . -, - , ^^, -, , ^^ , . , . - , -- , , . - , , , . . , - --, . .. . ,-, , . - ,- . , ,, - - . , , . -. , - .. . , . ^^^^, .. ,^^ =^^^^..,^^, -- ^^ ^^ ^^^^ ^^.., .., ^^^^. , ^^^^, ^^^^^=^^^^^^^^^^^^^, ^^ *' , ^^, ^^^^ ^^.., .., ,+.., ^^ −– ,–..,." - ^^ =,⋯ ,^^ −,. , ^^^^^^ = ^^^^ , ..,^^^^^^^^^^'""^^−^^ ^^' ^^−^^ ⋯ ^^' ^^−^^^^ . , ..,.., , ,--- . , , . ^^", ^^"^^−^^". , ,^^" = ^^−^^"^^" ^^^^''"" ^^''"# ⋯ ^^'"%#^^ -- ^^^^ ^^ ^^'^^ ^^ = ^^^^. , ^ ^^^ ..,,- – – , ^^ ^,^^^^^^^^^^ − ^^^^ ^^^^^^- - . . , . .., . - – - . – , - .., , , -- -, . - , .., . . - - . . , . , - ,. – , , , , , , – , , , ..,- , -- . ^^,, ^^, ⋯ , ^^,*' ^^ −^^,, ^^, ⋯ , ^^' ^^^^ ^^ , .". . , .., . ., - ,. - - , . ^^ =^^^^", ^^ =,… ,^^ −^^^^ .,. , . , , ^^,, ^^, .., ^^,. . , ^^.., ^^ ^^,^^ ^^ , . ^^..,^^ , -- .. . , , . , ,, , . , , , ^^,, ^^ , ^^. , . , , , . .., . , , , . .., ^^,^,^,,, , ^^, ^^, , , , , ^^ , ,. , -- .., ^^,, ^^, ⋯ , ^^, .'., ^^,, ^^, ⋯ , ^^.*'., ⋯ , ^^,'. , . ^^ ^^, ^^t ^^ ^^^^^^^," ^^, ^^t," ^^'^^^" ^^'^^^" ^ ^^. ^^ ,^^ ^^^^^^^^, ^^^^^^'"" ^^^^^^' ⋯ ^^^^^^' , . -. , , ,. . , -- . ., , .., ^^ ^ ^^^,,^^, ^^^^,, ', t – – , , ^^+,; .., ^^+^^^^^'^^ , ^^^^^ "" ^^^^^^' ⋯ ^^^^^^'^^ =, -- ^ ^ , – ^ ^ – , ^^ , . – = ^^– ^^^^, ^^ ^^ , ^^,– – . . , , . , –-- ..,- , – ^^ =,^ ^^^^ −^^ ^^^^^^^^ . , . ..,. , , , . , , . , . , . . . , , , -...,- - , . , , , , -. , , -- , . - , .., – , –. . , , , . .., – . ^^,– , , - .., , - ...,- , . , , . , -- . – – – – . . .., , – , – – , – . , – , – , “ - ”, .., , -. – - – - - . , ,- . , , – – . - , . -- , . , , . , , . ,. .. , , . , , . , -- – – , . , - , , . . , , , . , ,. . .. , , . , , -- . , – – , . . , , . . .., , . .. , , - , , . , , , , .., .. -- – – , , , . .., . , – – . , . “ ” – – , . . ,. , , , ..,- , -- . . . , . – , – . , , .., . , . , , , . . -- , , , . – – . . , , ^^.., ^^.,, ^^, .., ., , , ., ^^,, .., ^^ . ^^ , , , , . ^^,^ ^^ . ^ , ^^,, , – ^^,–. - -- . . ,, ,, ^^ – ^^ – - .. - ., . , , , , – – , ..,- ^^,.., , . , . . , – –- -- , . ,t t, – , *''– ^^^^^, , ^^ . . , .. . , , , . , , , , , , . , , . , , .., ^^ ^^;– ^ –^,^^ ^^ ^^-- ^^^^ ^^ ^^...,,, ^^^.^.., ^^,..,^^ −^^ −, ^^ ^^^ ^^^ ^ ^^^ ^^, , , - . ^^* ^^ ^^^, ,^ ∗^^^^, ^^ ^^, ⋯ ^,, - .., ^ ^^*^^* ^= ^^ ^^^ , ^^.., ^. ^^. , ^^ ^^ – – ^^ .. -- ^^ , . ^^ , , .^^^^, ^^,^^^^^^^^ ^^^^, ^^,, ^^ ^^.., ^^. , ,^^, ^^ ..,^^. ^^,^^^^^^, ^^. . -- . . . . . , , , , , , , ., , , , , , , , – - – , . – – -- .., - , . . – – , .., , ,. – , - – - - . .t, , , – –, ,t^^ *' , ^^ -,- ^^ . , – . – . ,.., ^ ^^;^ – –, ^^,^ ^^^ ^ ^^ ^^ ^^ ^. , .., , ^^ ^^ ^^ ^ ^^ ^^ ^^ ^, , , - . ^^* ^^ ^^^^^^, ,^ ∗^, ^^ ^^. . .-- ^^,, - ., ^^*^^ ^= ^^ ^^^^. ,*^^.., ^^. , ^^ ” ^^ – “ ^^ – ^^.., ^^ ^^ ^^ . - , ^^*, , . . , ^^ .., – , – . ^^^.., ^^ −.., ^^ ^^ ^^. ^^ ,^ −^^ , . ^^ ^^ ^^ ^^'^^ −-- ^^^^^^ −^^, ^^ ^^ . ”^^+“ ^^^^'^^, + ,,, … ,^^ ^^+. . .., .., ^^^. ̂^+.. .., , ^^ –, ^^ ^- , ^ - ^ ^*– ^^ ^^- = ^^^^^ , -- ^^, ^^ ^^,= −^^^^^^^^ ^^^^^ .^^^^^^^^ t^^- – – . .., ^ ^,.., ^^ −.., ^^ −-^^-^^ ^ -^ ^^-^^- −^^- , ^^ =^^, ^^, … , ^^*^ ^ = ^̂^-- ^^, +,,^ +∗,^^ ^^+, . ^^ – ^^*– ^^, - , . . ,, , – – . , ,.. ^̂^*, , , , . ^^^^^^, ^^.^^^^, ^^,^^^^ ^^ ^^ ^^,-^^*-–^̂^*– ^^* = ^ ^^,*, ^^*^^* = ^ ^^^̂^ ^^^^^^^̂^, ^^^̂^^*^, ^^^^*, . , . . , –- – . , -- , . – – . . , – – .- . , - , . ^ ^^ ^^, ^ ^^×^.., ^^^^ ^^^×^^^, ,^^^^×^^^. , , ^^. .., ^^ ^^^, ^^, ^^, ^^ = ^^^^^^. , ^^ . --.. ^^^,, ,^ ^^ ^^^^^^^^^^.., ⋯ ^^.., ^^^^^, ,^^^ = ^^^^– ^^ – ^^ .., . .. .., , ^^^ = ^^^^^^ , ^^. , ^^ ^^", ^^ .., ^^",, ^^. ^^" ^^" ^^"– – .., ^^ ^^ ^^ . . - -- , ^^.., , , ,^^ = ^^ " ^^" ^^^, .., ^^.. ..,^ ^^,, ⋯ , ^^^^^^ ^, ,^^^ ^ ^^^^ ^^^ ^^^^ ^−^^^^^^^^^ ^^, ^^, ^^ = − ' , ^^∗^^^^∗,= ^^^ , -- ^^∗^^ ^^. . - . - ,- , , , , , , , , , . , . - - - . - , , , . ,- , , , , . , .

Claims

--. , , - , ,- , - , , , , . . ,-- . . . . , , . . , , --- ,, , , , . . , , . . , . ., -- , , , , , , , , , , . . , , , , , , , . . , ,, -- , , - , , , , - ,, - , - , , , , , . . . . , , ,,-- . . , . . , . . , , . . , , ,- , - -, , , , ,,-- , , , ,. ,. , , ,-- .. , , . . , . . - ,--, , - .

Images