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Table-top coherent X-ray source has drawn significant attention in recently. We propose two methods of constructing table-top X-ray source by using shock-front injection in a laser wakefield accelerator (LWFA). By using shock-front injection, the electron bunches are injected during a sharp transition of plasma density. The length of density transition is significantly shorter than the plasma wavelength and offers a highly localized injection. The first method is using a tilted shock front to break radial symmetry of injection and generate polarized betatron radiation. The second method is using a undulator to create free electron laser (FEL).