In general the sliding discrete Fourier transform (SDFT) for analyzing the frequency characteristics of shift data is not applied to the windowed shift data and so in this case a lot of calculations are needed. But in practical applications calculating the spectrum of the windowed shift data efficiently is needed.This paper proposes a SDFT of the windowed shift data using the window functions. Window functions have the symmetric property. Using this symmetric property, discrete Fourier transform (DFT) of the windowed shift data can be calculated by recursive algorithm.And this paper verifies its correctness and analyzes the number of calculations through the simulation using MATLAB. Several window functions, i.e. Bartlett, hanning, hamming, Blackman window functions are used to prove the proposed algorithm. These algorithms can be efficiently used in the analysis of frequency characteristics of the shift data and implemented using dsPIC, ARM and FPGA.