This article has been accepted for publication in a future issue of this journal, but has not been fully edited. Content may change prior to final publication. Citation information: DOI 1.119/JETCAS.218.289582, IEEE Journal 2 2 = 4 2156-3357 (c) 218 IEEE. Translations and content mining are permitted for academic research only. Personal use is also permitted, but republication/redistribution requires IEEE permission. See
This article has been accepted for publication in a future issue of this journal, but has not been fully edited. Content may change prior to final publication. Citation information: DOI 1.119/JETCAS.218.289582, IEEE Journal 9 9 14.5mm 14.5mm 16 145 (1, 1), (1, 2),,(9, 9) (1, 1) (5, 6) Δt = (5, 6) (5, 5) (4, 5) (4, 4) s 1 (t) s 2 (t) s 3 (t) s 4 (t) (5, 6) (5, 5) (4, 5) (4, 4).81λ λ 9 9.41λ xz 2156-3357 (c) 218 IEEE. Translations and content mining are permitted for academic research only. Personal use is also permitted, but republication/redistribution requires IEEE permission. See
This article has been accepted for publication in a future issue of this journal, but has not been fully edited. Content may change prior to final publication. Citation information: DOI 1.119/JETCAS.218.289582, IEEE Journal z [mm] 6 4 2 2 4 6 Ch3 Ch4 Ch1 Ch2 5 5 x [mm] T =1/T (t)dt s (DC) i s (raw) i s 1 (t) s 2 (t) s 3 (t) s 4 (t) s i (t) =s (raw) i (t) s (DC) i (i =1, 2, 3, 4) s (raw) i (t) s (DC) i P BF (θ, φ) P BF (θ, φ) = 1 T T a(θ, φ) H s(t) 2 dt, = a(θ, φ) H R ss a(θ, φ). s(t) = [s 1 (t),s 2 (t),s 3 (t),s 4 (t)] T R ss R ss = 1 T s(t)s H (t)dt, T a(θ, φ) a(θ, φ) =[k r 1, k r 2, k r 3, k r 4 ] T, k r 1 r 2 r 3 r 4 k θ φ k(θ, φ) =k[sin θ cos φ, sin θ sin φ, cos θ] T, k = 2π/λ λ = 3.6 y(t) =w1s 1 (t) +w2s 2 (t) +w3s 3 (t) +w4s 4 (t) =w H s(t) 2156-3357 (c) 218 IEEE. Translations and content mining are permitted for academic research only. Personal use is also permitted, but republication/redistribution requires IEEE permission. See
This article has been accepted for publication in a future issue of this journal, but has not been fully edited. Content may change prior to final publication. Citation information: DOI 1.119/JETCAS.218.289582, IEEE Journal w =[w 1,w 2,w 3,w 4 ] T y(t) 2 = w H s(t) 2 = w H s(t)(w H s(t)) H = w H s(t)s H (t)w, E[ y(t) 2 ] = w H R ss w E[] R ss =E[s(t)s H (t)] s(t) P C (θ, φ) P C (θ, φ) =minw w H R ss w, subject to w H a(θ, φ) =1. w E[ y(t) 2 ]=w H R ss w (θ, φ) (θ, φ) (θ, φ) E[ y(t) 2 ] w P C (θ, φ) P C (θ, φ) = 1 a H (θ, φ)(r ss + ɛi) 1 a(θ, φ), I ɛ ɛ = ɛ tr(r ss ) P C (θ, φ) θ φ (θ,φ ) w opt =argminw w H R ss w, subject to w H a =1, w a a = a(θ,φ ) θ φ arg max θ,φ P C (θ, φ) L L(w,λ ) = 1 2 wh R ss w +Re[λ (w H a 1)] = 1 2 wh R ss w + 1 2 λ (w H a 1) + 1 2 λ (w T a 1), λ L(w,λ ) w wl(w,λ )=R ss w + λ a =. w w = λ R 1 ss a, R ss 1 λ =. a H R 1 ss a w = R 1 ss a. a H R 1 ss a w R ss R ss Rss 1 w opt = (R ss + ɛ I) 1 a a H (R ss + ɛ I) 1 a. s DCMP (t) s DCMP (t) =w H opts(t). ɛ = ɛ tr(r ss ) ɛ w H s(t) s d (t) (θ,φ ) s i (t) (θ i,φ i ) G(θ,φ )=1 G(θ i,φ i )= α(w) 2 w α(w) (θ i,φ i ) w H s(t) =s d (t) +α(w)s i (t) E[ s d (t)+α(w)s i (t) 2 ]=E[ s d (t) 2 ]+ α(w) 2 E[ s i (t) 2 ] s d (t) 2 2156-3357 (c) 218 IEEE. Translations and content mining are permitted for academic research only. Personal use is also permitted, but republication/redistribution requires IEEE permission. See
This article has been accepted for publication in a future issue of this journal, but has not been fully edited. Content may change prior to final publication. Citation information: DOI 1.119/JETCAS.218.289582, IEEE Journal w α(w) s i (t) s DCMP (t) (θ,φ ) s DCMP (t) s DCMP (t) xz (x, y) =(.3m,.5m) (x, y) = (.3m,.5m) s A (t) s B (t) s A (t)+s B (t) s A (t) s B (t) λ = 35.7 λ λ 62.7 123.9 xz y =.5 s A (t)+s B (t) ɛ =1 5 (x, z) =(28.9cm,.8cm) (θ,φ ) a s B (t) 1 j 1 j 1 +j 1+j s B (t) 2156-3357 (c) 218 IEEE. Translations and content mining are permitted for academic research only. Personal use is also permitted, but republication/redistribution requires IEEE permission. See
This article has been accepted for publication in a future issue of this journal, but has not been fully edited. Content may change prior to final publication. Citation information: DOI 1.119/JETCAS.218.289582, IEEE Journal [db] 5 5 z [cm] 5 1 15 2 25 1 1 5 5 1 3 x [cm] [db] 5 5 5 [db] 5 z [cm] 5 1 15 2 z [cm] 5 1 15 2 1 1 5 5 1 x [cm] 25 3 1 1 5 5 1 x [cm] 25 3 R ss s B (t) R ss w opt a P DCMP (θ, φ) =w H opta(θ, φ) ɛ =.1 z [cm] 5 5 1 1 5 5 1 x [cm] [db] s DCMP (t) =w H opts B (t) P r(t) 4 P 5 1 15 2 25 3 2156-3357 (c) 218 IEEE. Translations and content mining are permitted for academic research only. Personal use is also permitted, but republication/redistribution requires IEEE permission. See
This article has been accepted for publication in a future issue of this journal, but has not been fully edited. Content may change prior to final publication. Citation information: DOI 1.119/JETCAS.218.289582, IEEE Journal 2 1 Imaginary 1 1 Ch3 Ch1 Ch4 Ch2 2 2 1 1 2 Real Imaginary.5 -.5-1 -1 -.5.5 1 Real s B (t) [db] s DCMP (t) z [cm] 5 5 1 1 5 5 1 x [cm] r s 1 (t) s DCMP (t) d DCMP (t) d DCMP (t) = λ 4π unwrap( s DCMP (t)), unwrap( ) θ(t) ( θ(t) θ(t Δt) π), unwrap(θ(t)) = θ(t)+2π (θ(t) θ(t Δt) < π), θ(t) 2π (θ(t) θ(t Δt) >π). Δt 2 2 4 6 8 1 Displacement [mm] 3 2 1 1 2 3 4 5 6 1 2 3 4 5 d DCMP (t) s DCMP (t) s B (t) d 1 (t) s 1 (t) d DCMP (t) s DCMP (t) s A (t)+s B (t) s 1 (t) s A (t)+s B (t) 2156-3357 (c) 218 IEEE. Translations and content mining are permitted for academic research only. Personal use is also permitted, but republication/redistribution requires IEEE permission. See
This article has been accepted for publication in a future issue of this journal, but has not been fully edited. Content may change prior to final publication. Citation information: DOI 1.119/JETCAS.218.289582, IEEE Journal [db] 2 2 5 1 Imaginary 1 Ch3 Ch1 Ch4 Ch2 2 2 1 1 2 Real z [cm] 5 1 1 5 5 1 x [cm] 2 4 6 8 1 s A (t)+s B (t) Displacement [mm] 1 2 3 4 5 6 7 8 1 2 3 4 5 Imaginary 1.5 -.5-1 -1 -.5.5 1 Real s 1 (t) s DCMP s A (t)+s B (t) R ss θ φ s DCMP (t) s A (t)+s B (t) t =1 Displacement [mm] 3 2 1 1 2 3 4 5 6 1 2 3 4 5 d DCMP (t) s DCMP (t) s A (t)+s B (t) 2156-3357 (c) 218 IEEE. Translations and content mining are permitted for academic research only. Personal use is also permitted, but republication/redistribution requires IEEE permission. See
This article has been accepted for publication in a future issue of this journal, but has not been fully edited. Content may change prior to final publication. Citation information: DOI 1.119/JETCAS.218.289582, IEEE Journal 3 3 2 2 Displacement [µm] 1 1 Displacement [µm] 1 1 2 2 3 1 2 3 4 5 s DCMP (t) s B (t) 3 1 2 3 4 5 s 1 (t) s A (t)+s B (t) 15 s t 45 s μ t Displacement [µm] 3 2 1 1 2 3 1 2 3 4 5 s DCMP (t) s A (t)+s B (t) 2156-3357 (c) 218 IEEE. Translations and content mining are permitted for academic research only. Personal use is also permitted, but republication/redistribution requires IEEE permission. See
This article has been accepted for publication in a future issue of this journal, but has not been fully edited. Content may change prior to final publication. Citation information: DOI 1.119/JETCAS.218.289582, IEEE Journal s B (t) s 1 (t) s DCMP (t) Interbeat Interval [s].7.65.6.55.5 1 2 3 4 5 s B (t) Interbeat Interval [s].7.65.6.55.5 1 2 3 4 5 s A (t) +s B (t) 2156-3357 (c) 218 IEEE. Translations and content mining are permitted for academic research only. Personal use is also permitted, but republication/redistribution requires IEEE permission. See
This article has been accepted for publication in a future issue of this journal, but has not been fully edited. Content may change prior to final publication. Citation information: DOI 1.119/JETCAS.218.289582, IEEE Journal.7 12 Interbeat Interval [s].65.6.55 Heart Rate [bpm] 11 1 9.5 1 2 3 4 5 s A (t)+ s B (t) 8 1 2 3 4 5 Time [sec] s B (t).7 12 Interbeat Interval [s].65.6.55 Heart Rate [bpm] 11 1 9.5 1 2 3 4 5 s A (t) + s B (t) 8 1 2 3 4 5 Time [sec] s A (t) +s B (t) R s Δt τn ECG τn radar n =1, 2,,N Δt =.5 τn ECG τn radar < τ τ = 5 N R s = N /N R s R s 2156-3357 (c) 218 IEEE. Translations and content mining are permitted for academic research only. Personal use is also permitted, but republication/redistribution requires IEEE permission. See
This article has been accepted for publication in a future issue of this journal, but has not been fully edited. Content may change prior to final publication. Citation information: DOI 1.119/JETCAS.218.289582, IEEE Journal Heart Rate [bpm] 12 11 1 9 8 1 2 3 4 5 Time [sec] s A (t)+s B (t) Normalized Frequency.5.4.3.2.1 DCMP for One Participant DCMP for Two Participants Single Channel for Two Participants -2-1 1 2 Heart Rate Error [bpm] 2156-3357 (c) 218 IEEE. Translations and content mining are permitted for academic research only. Personal use is also permitted, but republication/redistribution requires IEEE permission. See
This article has been accepted for publication in a future issue of this journal, but has not been fully edited. Content may change prior to final publication. Citation information: DOI 1.119/JETCAS.218.289582, IEEE Journal 2156-3357 (c) 218 IEEE. Translations and content mining are permitted for academic research only. Personal use is also permitted, but republication/redistribution requires IEEE permission. See
This article has been accepted for publication in a future issue of this journal, but has not been fully edited. Content may change prior to final publication. Citation information: DOI 1.119/JETCAS.218.289582, IEEE Journal 2156-3357 (c) 218 IEEE. Translations and content mining are permitted for academic research only. Personal use is also permitted, but republication/redistribution requires IEEE permission. See