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In this paper, three algorithms for identifying and modeling linear, time-varying (LTV) systems are proposed. The first one extends the idea of the ACF of a stationary system to a time-varying autocorrelation function (TVACF) of an LTV system response; however, the second one uses the time-varying pseudo-autocorrelation function (TVPACF). In addition, we propose another algorithm based on the time-varying linear prediction (TVLP), which can be considered as an extended version of the well known linear prediction technique. Some LTV system identification and nonstationary signal modeling examples are given, using the above algorithms. The TVACF has also been applied for music and speech signal discrimination.