Compact and stable fringe resolution autocorrelation apparatus and spectral phase interferometry for direct electric-field reconstruction apparatus have been established. The spectral phase, pulse profile and pulse width can be accurately measured with the home-made apparatus. We have performed theoretical and experimental studies on spectral phase retrieval and pulse profile reconstruction. A wavelet transform technique has been introduced to the spectral phase retrieval process to eliminate the uncertainty which produced from the filter window. According this method, precise spectral phase can be obtained. As a result, precise pulse profile can be reconstructed. The results from the two apparatus have an excellent agreement. ? 2010 Copyri...