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    3.1 dB NF 20-29 GHz CMOS UWB LNA using a T-match input network

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    [[abstract]]A 20-29 GHz CMOS ultra-wideband (UWB) low-noise amplifier (LNA) with excellent input return loss (S(11)), flat and high power gain (S(21)), and flat and low noise figure (NF) is demonstrated. Wideband input impedance matching was achieved by using the proposed T-match input network to generate two S(11) dips. Flat and high S(21) was achieved because the inductive-peaking second stage and the current-reused final two stages can compensate the gain degradation of the source-degenerative first stage at medium and high frequencies, respectively. Flat and low NF was achieved by adopting a slightly underdamped Q-factor for the second-order NF frequency response. The LNA consumed 22.07 mW and achieved S(11) of -15.5 to -26.8 dB, S(21) of 16.2 +/- 2.5 dB, minimum NF (NFmin) of 3.1 dB (at 20 GHz), and an average NF of 3.6 dB over the 20-29 GHz band of interest, one of the best reported average NF performances for a 24 GHz band CMOS LNA with bandwidth wider than 6 GHz in the literature.[[note]]SC

    Capacities from the Chiu-Tamarkin complex

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    In this paper, we construct a sequence (c k) k ∈N of symplectic capacities based on the Chiu-Tamarkin complex C Z/ℓ T, a Z/ℓ-equivariant invariant coming from the microlocal theory of sheaves. We compute (c k) k ∈N for convex toric domains, which are the same as the Gutt-Hutchings capacities. Our method also works for the pre-quantized contact manifold T ∗ X × S 1. We define a sequence of “contact capacities” ([c] k) k ∈N on the prequantized contact manifold T ∗ X × S 1, and we compute them for prequantized convex toric domains.</p

    Capacities from the Chiu-Tamarkin complex

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    In this paper, we construct a sequence (ck)kN(c_k)_{k\in\mathbb{N}} of symplectic capacities based on the Chiu-Tamarkin complex CT,C_{T,\ell}, a Z/\mathbb{Z}/\ell-equivariant invariant coming from the microlocal theory of sheaves. We compute (ck)kN(c_k)_{k\in\mathbb{N}} for convex toric domains, which are the same as the Gutt-Hutchings capacities. Our method also works for the prequantized contact manifold TX×S1T^*X\times S^1. We define a sequence of contact capacities ([c]k)kN([c]_k)_{k\in\mathbb{N}} on the prequantized contact manifold TX×S1T^*X\times S^1, and we compute them for prequantized convex toric domains.v5: Correct the definition of the contact capacity. To appear in Journal of Symplectic Geometry. Comments are welcome
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