The multistage noise-shaping (MASH) delta-sigma modulator (DSM) is the key element in a fractional-N frequency synthesizer. A hardware simplification method with subtraction inversion is proposed for delta-path's design in a MASH delta-sigma modulator. The subtraction inversion method focuses on simplification of adder-subtractor unit in the delta path with inversion of subtraction signal. It achieves with less hardware cost as compared with the conventional approaches. As a result, the hardware organization is regular and easy for expanding into higher order MASH DSM design. Analytical details of the implementation way and hardware cost function with N-th order configuration are presented. Finally, simulations with hardware description language as well as synthesis data verified the proposed design method.

This paper presents a standard cell-based frequency synthesizer with dynamic frequency counting (DFC) for multiplying input reference frequency by N times. The dynamic frequency counting loop uses variable time period to estimate and tune the frequency of digitally-controlled oscillator (DCO) which enhances frequency detection's resolution and loop stability. Two ripple counters serve as frequency estimator. Conventional phase-frequency detector (PFD) thus is replaced with a digital arithmetic comparator to yield a divider-free circuit structure. Additionally, a 15 bits DCO with the least significant bit (LSB) resolution 1.55 ps is designed by using the gate capacitance difference of 2-input NOR gate in fine-tuning stage. A modified incremental data weighted averaging (IDWA) circuit is also designed to achieve improved linearity of DCO by dynamic element matching (DEM) skill. Based on the proposed standard cell-based frequency synthesizer, a test chip is designed and verified on 0.35-µm complementary metal oxide silicon (CMOS) process, and has a frequency range of (18-214) MHz at 3.3 V with peak-to-peak (Pk-Pk) jitter of less than 70 ps at 192 MHz/3.3 V.

In this paper, a novel digitally-controlled varactor (DCV) for portable delay cell design is presented. The proposed varactor uses the gate capacitance differences of NAND/NOR gates under different digital control inputs to build up a digitally-controlled varactor. Then the proposed varactor is applied to design a high resolution delay cell and to achieve a fine delay resolution. Different types of NAND/NOR gates (2-input or 3-input) for DCV design are also investigated in this paper. The proposed DCV can be implemented with standard cells, thus it can be easily ported to different processes in a short time. A test chip fabricated on a standard 0.35 µm CMOS 2P4M process proves that the proposed delay cell has a fine delay resolution about 1.55 ps. As a result, the proposed DCV exhibits finer resolution, better linearity, and better portability than traditional delay elements, and is very suitable for portable delay cell design.

This work presents a novel counter-based randomization method for use in a flying-adder frequency synthesizer with a cost-effective structure that can replace the fractional accumulator. The proposed technique involves a counter, a comparator and a modified linear feedback shift register. The power consumption and speed bottleneck of the conventional flying-adder are significantly reduced. The modified linear shift feedback register is used as a pseudo random data generator, suppressing the spurious tones arise from the periodic carry sequences that is generated by the fractional accumulator. Furthermore, the proposed counter-based randomization method greatly reduces the large memory size that is required by the conventional approach to carry randomization. A test chip for the proposed counter-based randomization method is fabricated in the TSMC 0.18,$mu $m 1P6M CMOS process, with the core area of 0.093,mm$^{mathrm{2}}$. The output frequency had a range of 43.4,MHz, extasciitilde 225.8,MHz at 1.8,V with peak-to-peak jitter (Pk-Pk) jitter 139.2,ps at 225.8,MHz. Power consumption is 2.8,mW @ 225.8,MHz with 1.8 supply voltage.