New A/D converter architectures based on Gray coding

D/A Converters and Iterated Function Systems

“…There exist a variety of ADC architectures including binary encoder, Gray encoder and their analogues [1][2][3]. The architectures of DACs are usually based on inverse operation of the ADCs [4,5].…”

“…First, we describe operation of cyclic ADCs in terms of IFSs consisting of expanding maps [9]. Noting two basic ADCs for binary and Gray encodings [1,2], we compare cyclic ADCs with the expanding IFSs. Second, we describe operation of the cyclic DACs in terms of IFSs consisting of contractive maps and show basic DACs for binary and Gray decodings [1,2].…”

“…Noting two basic ADCs for binary and Gray encodings [1,2], we compare cyclic ADCs with the expanding IFSs. Second, we describe operation of the cyclic DACs in terms of IFSs consisting of contractive maps and show basic DACs for binary and Gray decodings [1,2]. We also introduce an interesting application of the IFSs: the chaos game representation (CGR) [7] for analysis of DNA structures.…”

A high-speed algorithmic ADC

“…This is due to the demand of high performance, portable and battery-powered equipment. It has been shown that, among the existing ADCs, the algorithmic ADC offers the advantages of both the circuit performance and small in size of chip area (Pouliquen et al 1991, Fong et al 1994, Signell et al 1997, Chang and Lee 1998, Zheng et al 2000, Quinn and Pribytko 2003. In addition, the N-bit resolution of an algorithmic ADC can be simply realized by cascading of N-bit cells.…”

“…Therefore, a high-speed performance of the ADC is limited. To minimize the disadvantages of such ADC, an algorithmic ADC based on gray coding technique has been introduced (Pouliquen et al 1991, Signell et al 1997. The advantage of gray code algorithmic ADC is that the accumulated error is smaller than that of a binary code one (Signell et al 1997).…”