Since the speech is nonstationary and time-varying, the time-frequency analysis is a useful tool to process the speech. However, the linear short-time Fourier transform (STFT) suffers from low resolution in the time-frequency domain, and the bilinear Wigner-Ville distribution (WVD) suffers from the cross terms when processing multi-component signals. Therefore, in this paper, the generalization of the STFT, that is, the local polynomial Fourier transform (LPFT) is employed to process the speech, and a speech analysis GUI system based on the LPFT is proposed. In the proposed GUI system, the analysis and comparisons for speech are realized in the time domain, the frequency domain, and the time-frequency domain. It is shown by the example that the LPFT is more suitable to process the speech. The proposed system is user-friendly, and is a good platform to process the speech.