Lecture Notes on Time Transposed Conjugated Signal with Applications to Power Spectrum Density Estimation

Abstract

Power spectrum density (PSD) is a quite important tool in signal processing, since you can get the frequency components of the random signal by power spectrum analysis. Here we discuss the application of backward conjugate signal/sequence in power spectrum estimation. During the research, we noted that the backward conjugate signal/sequence can improve the performance of PSD estimation with low SNR and even small sample size. We hope that the results of this paper can give some inspiration to students who are studying digital signal processing.