cramer rao lower bounds for isolated and overlapping lorentzian peaks
Báo cáo hóa học: "Cramer-Rao-Type Bounds for Localization Cheng Chang and Anant Sahai" ppt
... simulation, we have 200 nodes and 10 anchors all uniformly randomly distributed inside the unit circle, j ∈ adj(i), if and only if di· j ≤ 0.3 In Figure 3, we plot the bounds for 20 randomly chosen nodes ... bounds using the information inside B1 B2 B3 B4 Estimation bounds using the information inside C1 C2 C3 C4 Estimation bounds using all the information Figure 5: Cram´ r -Rao bounds e As shown in ... power and so the heuristic explanation for the anchored case also fits the simulation results we have for the anchor-free case where A and A have the same size, B and B have the same size, so C and...
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Báo cáo toán học: " Symmetric Sum-Free Partitions and Lower Bounds for Schur Numbers" potx
... [4], and the second follows from (2) and the bounds for R5 (3) given in S Radziszowski’s survey paper [6] For earlier work on lower bounds for S(k) see H Fredricksen [5] and A Beutelspacher and ... program, we were able to determine D5 (n) for all n ≤ 154 For 102 ≤ n ≤ 154, D5 (n) is always either 44 or 45; for 86 ≤ n ≤ 101, D5 (n) is between 41 and 45; and for 45 ≤ n ≤ 85, D5 (n) = [(n + 1)/2] ... larger lower bound for S(6) by looking for symmetric sum-free partitions that have large depth and have one other set with large e-depth We currently have programs running to this Conjectures and...
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Báo cáo toán học: "Lower bounds for the football pool problem for 7 and 8 matches" pdf
... [2] W Haas, Lower bounds for q-ary codes of covering radius one, Discr Mathematics 219 (2000), 97-106 [3] W Haas, Binary and ternary codes with covering radius one: Some new lower bounds, Discr ... [4] L Habsieger, Lower bounds for q-ary coverings by spheres of radius one, J Comb Theory Ser A 67 (1994), 199-222 [5] L Habsieger, A new lower bound for the football pool problem for matches, J ... then by (14) and (16) there exists L ∈ L \ K1 with σ ∈ L and g ∗ (L) ≥ 1, i.e g(L) ≥ Suppose L = {σ, ρ, τ } By σ ∈ B and L ∈ K1 we have |L ∩ B| ≥ Therefore we may assume that, say ρ ∈ B and thus...
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Báo cáo toán học: "A generalization of generalized Paley graphs and new lower bounds for R(3, q)" pot
... self-complementary graphs and new lower bounds for diagonal Ramsey Numbers, Australasian J Combin., 25(2002), 103-116 [8] Luo Haipeng, Su Wenlong, Yun-Qiu Shen, New lower bounds for two multicolor classical ... some new lower bounds such like R(4, 4, 4) 128 [12] and R(6, 6, 6) 1070 [11] were obtained In the past few years we have used the cyclic graphs of prime order to study the lower bounds for classical ... Qiao, Luo Haipeng and Li Guiqing, Lower Bounds of Ramsey Numbers based on cubic residues, Discrete Mathematics, 250(2002),197-209 [12] Su Wenlong, Luo Haipeng and Li Qiao, New Lower Bounds of Classical...
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Báo cáo toán học: "Upper and lower bounds for Fv (4, 4; 5)" pps
... that F (4, 4; 5) 23 The lower bound For a graph G, a complete graph K and vertex set S ⊆ V (G), we say that S is (G, +v, K) maximal if and only if K G[S] and K ⊆ G[S ∪ {v}], for every vertex v ∈ ... [{1, 2, · · · , 9}] ∼ C9 = Graphs F1 and F2 are shown in Figures and Our computational approach is based on the following lemmas and observations Lemma For r and positive integers a1 , a2 , · · ... 1-cliques and a 3-clique without common vertex in the neighborhood of v in G Therefore the degree of v in G is at least 5, so δ(G) Therefore δ(H) Now, let us give δ(H) a lower bound If δ(H) 3, and...
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Lower bounds for the integration error for multivariate functions with mixed smoothness and optimal Fibonacci cubature for functions on the square
... < α < and Gd = Td , and by Bakhvalov [3] (the lower bound) and Dubinin [6] (the upper bound) for < p ≤ ∞, θ = ∞, α > and Gd = Td (see also Temlyakov [23, Thms IV.1.1, IV.3.3 and IV.4.6] for details) ... Altogether we end up with (3.19) which concludes the proof Lower bounds for optimal cubature This section is devoted to lower bounds for the d-variate integration problem The following theorem ... identification of the end points For a real number a we put a+ := max{a, 0} The symbol d is always reserved for the dimension in Zd , Rd , Nd , and Td For < p ≤ ∞ and x ∈ Rd we denote |x|p = (...
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Báo cáo hóa học: " Autonomous Positioning Techniques Based on ´ Cramer-Rao Lower Bound Analysis" pot
... therefore conclude that range (B) = null (AT ) = (range (A))⊥ , that is, V−1/2 ß⊥ V−1/2 = V−1/2 π B V−1/2 , and A (A.5) holds for all parameter vectors Δ and x, and all positive definite and symmetric ... equal to the lower right block of the bound in (10) for all parameter vectors x and Δ and all positive definite noise covariance matrices V, proof is given in Appendix A The full Fisher information ... between nodes and on system parameters such as bandwidth (see, e.g., [7] for justification of this assumption), we can assume that the pTOA measurement noise variance on the forward and reverse...
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Báo cáo toán học: " New Lower Bounds for Some Multicolored Ramsey Numbers" pot
... lower bounds to Radziszowski’s Dynamic Survey [R] on the subject We show, by using the finite field technique in [GG], that R(5, 5, 5) ≥ 242 and R(6, 6, 6) ≥ 692 The previous best lower bound for ... 4(6.48)r−1 + r times holds for all r For R(6, 6, 6) there was no established nontrivial lower bound Consider the number R(5, 5, 5) To find a lower bound, L, we are searching for a three coloring of ... following lower bounds: R(5, 5, 5) ≥ 242 and R(6, 6, 6) ≥ 692 These are obtained by the following colorings: (Since −1 is a cubic residue it suffices to list only entries up to 120 for R(5, 5, 5) and...
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Báo cáo toán học: "Improved LP Lower Bounds for Difference Triangle Sets" potx
... bounds and the best upper bounds known For example the lower bound for M (15, 10) in [1] is 958, the lower bound using Lorentzen and Nilsen’s formulation is 962 and the lower bound in this paper ... This is not true for Lorentzen and Nilsen’s formulation We have solved the LP with inequalities (2) and (4) using the above described iterative procedure for ≤ I ≤ 15, ≤ J ≤ 20 (for J ≤ the solution ... is incorrect) The Lorentzen and Nilsen [3] lower bound for this case is 75, the lower bound in this paper is 77 Remark 2: For small values of J we can solve the LP for all values of I obtaining:...
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Báo cáo toán học: "New lower bounds for Heilbronn numbers" pps
... [2] and the study of the average size of the triangles by T Jiang, M Li, and P Vit´nyi [8, 9] a In addition, Golberg [7] started in 1972 the determination of optimal values and lower bounds for ... the trivial cases H3 and H4 , Golberg showed constructions providing lower bounds for n ≤ 15 A.W.M Dress, Yang Lu, Zhang Jingzhong and Zeng Zhenbing in a series of preprints and papers [20, 21, ... Goldberg was optimal and provided also the optimal value for H5 They also improved the lower bound for H7 In this note, and by using a simple implementation of simulated annealing and a further optimization...
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Báo cáo toán học: "A New Method to Construct Lower Bounds for Van der Waerden Numbers" pdf
... results for lower bounds are known The first proofs, by Erd˝s and Rado [5], were non-constructive and applied probabilistic methods o Berlekamp [2] was the first to publish a construction for lower bounds ... been used to improve lower bounds See for example Dransfield, Liu, Marek and Truszczynski [4] A new lower bound for W (5, 3) was discovered using their method Also Kouril and Franco [11] used ... presented a method to construct lower bounds for Van der Waerden numbers The final results are shown in table Table 4: Known Van der Waerden numbers and known and improved lower bounds r\k 27 76 > 125...
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Báo cáo toán học: "Determining Lower Bounds for Packing Densities of Non-layered Patterns Using Weighted Templates" pps
... easy to see that 1, 3, 6, and occur in nine of the π9 for i = 1, 3, 6, and occurrences and 2, 4, 5, and occur in eight of them Thus wi = 68 ν(π,T ) n wi = 1− (wi )m for i = 2, 4, 5, Substituting ... (or Tn , for short), can be a template for a pattern π ∈ Sm where the structure of T and the number of occurrences of π in T (or π-occurrences in T) are used to determine a lower bound for δ(π) ... Let π = T4 = 2413 Then a lower bound for δ(2413) is 44 4! = −4 21 Example 2.5 Let π = 2413 Recall that for T = T8 = 35827146 with ν(π, T ) = 17, 51 the lower bound found for δ(2413) was Although...
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Báo cáo toán học: "Lower Bounds for the Size of Random Maximal H-Free Graphs" pdf
... two graphs, H1 and H2 , that share only the edge {x, y} and the vertices x and y, and such that a is a vertex in H1 and a is a vertex in H2 Note that vH1 , vH2 ≥ and that H1 and H2 are proper ... is this: For every edge f ∈ G(n, ρ) assign uniformly at random a birthtime β(f ) ∈ [0, ρ], and for every edge f ∈ Kn \ G(n, ρ) assign uniformly at random a birthtime β(f ) ∈ (ρ, 1] Clearly, in ... , take εH = εH /2 We prove (2) and (3) in Sections 3.1.1 and 3.1.2, respectively 3.1.1 The lower tail For G ∈ Λ(g, 1), let XG be the indicator random variable for the event {G ⊆ G(n, ρ)} Let...
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Báo cáo toán học: "Lower Bounds for q-ary Codes with Large Covering Radius" ppsx
... bounds: six bounds for k = 6, two bounds for k = and still a new bound for a ternary code in the case k = In the most difficult case K9 (10, 5), checking a single game took about one week, and it takes ... determined manually Clearly, for d = n any tuple is a winning tuple For d n − 2, we will get explicit formulas (Lemmas 10 and 11), and for smaller d, we will prove the general Lemma 12, which is essentially ... computations were performed on a cluster of standard PC’s The range was limited by both time and memory In the simplest case k = a very short program suffices to calculate the new bounds for the usually...
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Báo cáo toán học: "Lower bounds for identifying codes in some infinite grids" potx
... noncodeword and so (−2, 0) ∈ C Since (0, 0) ∈ C, the vertex (−2, 1) is the only possibility for a second codeword for (0, 1) and (−2, −1) is the only possibility for a second codeword for (0, −1) ... Cranston and Yu [4].) Let Γ denote an auxiliary graph with vertex set C ∩ Qm for some m There is an edge between two vertices c and c′ if and only if I2 (v) = {c, c′ } for some v ∈ V (GS ) For each ... 2-identifying code for the hex grid For each c ∈ C, p(c) Proof Let C be an r-identifying code and c ∈ C be an arbitrary codeword Let u1 , u2 , and u3 be the neighbors of c and let {ui1, ui2 }...
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Báo cáo toán học: "Lower Bounds for the Average Genus of a CF-graph" doc
... new vertex y (il ∈ {1, 2, , k}, for l = 1, 2, , k and d > k 1), and finally adjoining x and y The new vertex x is (k +2)-valent for each Gi1 ,i2 , ,ik and the new vertex y is (d−k +1)d valent ... (1992) 108–129 [5] J Chen and J.L Gross, Kuratowski-type theorems for average genus, J Combin Theory Ser B 57 (1993) 100–121 [6] J Chen, J.L Gross and R.G Rieper, Lower Bounds for the Average Genus, ... [3] J Chen and J.L Gross, Limit points for average genus (I) 3-Connected and 2Connected Simplicial Graphs, J Combin Theory Ser B 55 (1992) 83–103 [4] J Chen and J.L Gross, Limit points for average...
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Báo cáo hóa học: " Statistical resolution limit for the multidimensional harmonic retrieval model: hypothesis test and Cramér-Rao Bound approaches" docx
... variable formula, closed-form expression of the MSRL are given Finally, note that the concept of the MSRL can be used to optimize, for example, the waveform and/ or the array geometry for a specific ... applying (15) for P = and for (Pfa, Pd) = 1, one obtains the Smith criterion [11] gWhere O(.) denotes the Landau notation [46] hOne should note, that we assumed a uniform linear multiarray, and the ... N: Cramér -Rao lower bounds for low-rank decomposition of multidimensional arrays IEEE Trans Signal Processing 2002, 49:2074-2086 Boyer R: Deterministic asymptotic Cramér -Rao bound for the multidimensional...
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Báo cáo hóa học: " Research Article An ML-Based Estimate and the Cramer-Rao Bound for Data-Aided Channel Estimation in KSP-OFDM" pdf
... have derived an approximation (which is accurate for large block size) for the Cramer Rao bound, that is, the Gaussian Cramer- Rao bound, related to for data-aided channel estimation in KSP-OFDM, ... Note that for low N, the approximations HFd = FH and FF+ = IN+ν−M not hold, and the approximate analytical expression for the GCRB looses its practical meaning However, for the range of N for which ... received time-domain samples r 2.2 Gaussian Cramer- Rao bound First, let us determine the Cramer- Rao bound of the estimation of h from the observation r The Cramer- Rao bound is defined by Rh−h − J−1 ≥...
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Báo cáo hóa học: " The Cramer-Rao Bound and DMT Signal Optimisation for the Identification of a Wiener-Type Model" pptx
... with σ = × 10−5 and Ns = 56 The estimated standard deviations of each FIR filter parameter are shown for these signals in Figure 16 In addition, the Cramer- Rao bounds for both signals and each parameter ... for ωk = and ωk = π scale differently (by a factor of 2) than the other components Thus for a finite number of tones and finite sample length Ns equal to the period of the signal and for full bandwidth, ... standard deviations of the estimates for the two excitation signals are shown in Figures 20 and 21 for the linear and cubic part of the Wiener-type model, respectively In addition, the Cramer- Rao...
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Upper and Lower Bounds on Put Option
... Upper and Lower Bounds on Put Options Proof of Put-Call Parity by No-Arbitrage Principle Example on Arbitrage Opportunity Sergei Fedotov (University of Manchester) 20912 2010 2/8 Upper and Lower Bounds ... Parity at time t = 0: S0 + P0 − C0 = Ee −rT Upper and Lower Bounds on Put Option (exercise sheet 3): Ee −rT − S0 ≤ P0 ≤ Ee −rT Let us illustrate these bounds geometrically Sergei Fedotov (University ... B At time t = we • sell one put option for P0 (write the put option) • sell one share for S0 (short position) • buy one call option for C0 • buy one bond for B0 = P0 + S0 − C0 > Ee −rT Sergei...
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