graph LR
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    idea_0a647c98_0dee_4c51_9d2a_0242c7f86bb5["Systolic Array QR Decomposition via Givens Rotations for Recursive Least Squares Filtering"]
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    idea_1c8b809e_e1d5_41ca_b9da_78da7d968c41["Least squares and related methods for stochastic control systems"]
    idea_1c9264ff_0bf1_42f0_ace1_ebbc462d342d["Gradient Adaptive Lattice Filter in Adaptive Signal Processing"]
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    idea_2dd3dc94_b373_4098_8876_fc728d62d792["RLS Lattice Algorithm Delta Parameter Time Update in Adaptive Filtering"]
    idea_32ffa627_3c2d_4af1_a1c6_7feb1e0b2e4e["Complex Conjugates"]
    idea_3b5c9594_bb5c_4337_95b5_aabf0cdac27f["Scalar Multiplication and Matrix Scaling in Linear Algebra"]
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    idea_3e86f55e_542d_44bd_af8b_df9ed3960f91["Lattice Recursions for RLS Adaptive Filtering"]
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    idea_43ae6e29_6604_4729_ad8a_dc0f9f3319ac["Derivation of the LMS Algorithm for Adaptive Filters"]
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    idea_52d62f62_fa13_4bab_83b5_bad3db8a1dcc["Adaptive LMS Steady-State Excess MSE and Weight Misadjustment Analysis"]
    idea_5cbfebd9_fecc_410a_8b12_7db56d89e063["Orthogonal Projection onto Subspaces in Inner Product Spaces"]
    idea_6044de3f_46a1_4e47_8fda_1324cd3f9744["Wiener FIR Filter Design for Signal Processing"]
    idea_63cbecc0_9206_4fbd_ab74_3ddf4c14b849["Orthogonal Matrix Definition and Properties"]
    idea_7183906f_7653_4469_a83b_4fd69dfa00c8["Signal theory (characterization, reconstruction, filtering, etc.)"]
    idea_7a152b50_947c_4856_9a6d_be84588b0618["Eigenvalues and Eigenvectors Definitions in Linear Algebra"]
    idea_8b094e66_4362_455f_a28c_fed90bdbcd2c["Singular Value Decomposition via Eigenvalue Decomposition of A^TA and AA^T"]
    idea_8bb1de7c_9c31_43c6_b107_064de31493f9["Gram-Schmidt Orthogonalization Algorithm"]
    idea_91a135ca_bfbc_4c98_b8aa_b2b7bdda3d20["Basis Requirements Involving Independence and Spanning"]
    idea_9d5af745_9ae4_4d63_a83d_f8b4e090e5d6["Eigenvalues and Eigenvectors for Symmetric Matrices"]
    idea_a2b7937f_2726_41ba_a9f3_240f8add9d75["RLS Adaptive Lattice Filter in Adaptive Signal Processing"]
    idea_a78a7cbb_1cf0_4970_a356_f551e7d36a5a["Block LMS Adaptive Filter Algorithm"]
    idea_a7ab481a_2105_4be2_b5e7_c8396fc49352["Mathematics for nonmathematicians (engineering, social sciences, etc.)"]
    idea_a84f8d87_29ec_4984_b0f9_f354ee23dc6c["Matrix Addition in Linear Algebra"]
    idea_ac2b1670_7978_43a1_ae6d_fe48a326a53d["Lattice Filter as Optimal Predictor in Adaptive Signal Processing"]
    idea_b0df76d3_6798_43b8_b46f_c1591873f25a["Power Spectral Density of Wide-Sense Stationary Stochastic Processes in Signal Processing"]
    idea_b1cb2d77_2815_46b1_9d1c_2334dacac6e9["Orthogonal Projections in Linear Algebra"]
    idea_b299c695_c0c1_4a61_bcb8_d0a3ca65af2f["Fast Block LMS Algorithm Implementation in Adaptive Filtering"]
    idea_b6c0e4b1_52b5_475b_b22d_9b7551678766["Linear Prediction and Autoregressive Modeling in Digital Signal Processing"]
    idea_b7e4df63_1f51_4b1e_9fa6_1bfdbdfa05dd["Linear Prediction in Adaptive Signal Processing"]
    idea_b8e5683d_4b98_4950_806c_f623db5f3c5c["Mean-Square Convergence Analysis of the LMS Algorithm in Adaptive Filtering"]
    idea_bed42fc0_5229_43e2_9562_63e18c67791d["Vector Addition in Euclidean Space"]
    idea_bf53a7db_1a04_4ccd_9038_d96367ffeb3a["Givens Rotation for QR Factorization in Adaptive Filters"]
    idea_cbe3c118_fe2f_415a_bb95_d39f63fc1f02["QR Decomposition or Factorization for Rectangular Matrices"]
    idea_ce1871f8_dffe_4ffe_90c3_b617e61c404f["Sign LMS Algorithm in Adaptive Filtering"]
    idea_de59f3c3_c27e_483c_8964_ed107b68ba51["Steepest Descent Algorithm for FIR Wiener Filter Weights in Adaptive Signal Processing"]
    idea_df5ebc81_90f9_49f9_9807_929654579759["Hermitian Matrices Properties in Linear Algebra"]
    idea_ea0a5203_8d96_4aca_9526_b8abb8c886c3["Abstract Vector Spaces: The Eight Axioms"]
    idea_eb68ca4c_0bd2_4d91_8967_dc265c7d772c["Givens Rotation and QR Decomposition for Adaptive Filtering"]
    idea_f22679fb_cb31_4bd1_b9c0_9180cb8f218f["Lattice Filter Structure from Forward and Backward Linear Prediction in Adaptive Signal Processing"]
    idea_f71468da_db9c_486e_af5c_7134b4ddef03["Recursive Least Squares Derivation from Orthogonal Projection"]
    idea_fa4efe45_7cde_4d2d_a7ae_f8dc459239aa["Matrix Diagonalization: A = PDP^-1 via Eigenvectors and Eigenvalues"]
    idea_fbafd666_673a_4d54_8be2_6f2b81b604a6["Inference from stochastic processes and spectral analysis"]
    idea_fe3536b4_5622_4fe7_ac62_5c788d15b2b0["Computing the Transpose Operation on Matrices in Linear Algebra"]
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