Unlike well accepted FPGA emulation for digital circuits, there is no winning emulation solution for analog and mixed-signal (AMS) circuits. This paper presents an analog circuit emulation based on wave digital filters (WDFs), which covers the entire flow of transforming an AMS circuit from SPICE netlist to hardware implementation in FPGA. More specifically, it presents the theoretical support of how to map linear and nonlinear circuit components to WDF. The detail implementation of each WDF component in FPGA is not elaborated due to the page limit. Experiments show that there is a virtually perfect match between FPGA emulation and HSPICE simulations on two small but representative analog circuits, indicating high accuracy of the proposed emulation, and the FPGA-based WDF emulation can process analog signal sampled at as high as 512KHz, which is adequate for a variety of biomedical sensing applications.