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Exact analytic techniques are given for the design of strays-insensitive lossless discrete integrator (LDI) switched-capacitor low-pass and high-pass filters, with phase linearity taken into consideration. An improved synthesis algorithm is also presented for the low-pass case. The given solutions appear for the first time in relation to switched-capacitor filters, but they rely on classical techniques in the area of passive (distributed) networks and cannot be obtained from lumped-element filters. Due to the paucity of useful results, a semi tutorial style is adopted in order to make the design techniques accessible to as wide a readership as possible.