This brief presents a new multi-stage noise-shaping (MASH) structure which has less hardware by applying partially folded architecture. A folded MASH architecture that exploits adders in half is introduced, and the proposed architecture combines the folded MASH architecture and the conventional MASH architecture. The noise power spectrum of the proposed architecture is mathematically analyzed, and the noise-shaping capability of the MASH architecture is preserved.
Index Terms-Delta-Sigma Modulator (DSM), Fractional-N Frequency Synthesizer, Multistage Noise Shaping (MASH)
II. PREVIOUS DELTA-SIGMA MODULATORSThe first-order error feedback modulator (EFM) is a typical structure of the first-order DSM, which includes a quantizer, a register, and an adder with a feedback loop, as shown in Fig. 1(a). The first-order EFM is referred to as the EFM throughout this paper. In most applications, the input of the DSM is a fractional value in the range of [0, 1), represented in m bits, and the input x[n] is shifted left by m bits, ranging from 0 to (M-1), where M = 2 m . The input x[n] is accumulated and quantized by Q(·) that compares with a threshold value M. The output y[n] will be 1 if the accumulated value v[n] is equal to or greater than M. Otherwise, y[n] will be 0.After quantizing v[n], the remainder e[n] is sampled by a gray-colored register to feed it back to the input at the next cycle.