Abstract-Over last 3 decades, many cryptography algorithms based on chaos have been proposed that are very fast in computation. Chaos is used for secured communication in two ways as analog secured communication and digital chaotic ciphers. This paper is mainly focused at digital chaotic cryptosystem. In symmetric cryptosystems, same key is used for both encryption and decryption purpose. In 1998, Baptista gave the most used symmetric cryptosystem based on Ergodic property of logistic map. Later on, many refinements were done in Baptista"s algorithm. By going through later proposed refinements in this cryptosystem, some flaws are observed. Proposed scheme has a twostep logistic map that is a feedback mechanism using an extra variable to come over these flaws. At last, there is comparison between proposed scheme and other version of Baptista type cryptosystem, which shows that the proposed scheme is better than previous ones and it is resist against behavior analysis attack and partial key recovery attack.