The Cauchy problem for some parabolic fractional partial differential equation of higher orders and with time delays is considered. The existence and unique solution of this problem is studied. Some smoothness propert...The Cauchy problem for some parabolic fractional partial differential equation of higher orders and with time delays is considered. The existence and unique solution of this problem is studied. Some smoothness properties with respect to the parameters of these delay fractional differential equations are considered.展开更多
This paper presents a 6-bit 20-MS/s high spurious-free dynamic range（SFDR） and low power successive approximation register analog to digital converter（SAR ADC） for the radio-frequency（RF） transceiver frontend, e...This paper presents a 6-bit 20-MS/s high spurious-free dynamic range（SFDR） and low power successive approximation register analog to digital converter（SAR ADC） for the radio-frequency（RF） transceiver frontend, especially for wireless sensor network（WSN） applications.This ADC adopts the modified common-centroid symmetry layout and the successive approximation register reset circuit to improve the linearity and dynamic range. Prototyped in a 0.18-μm 1P6M CMOS technology,the ADC performs a peak SFDR of 55.32 dB and effective number of bits（ENOB） of 5.1 bit for 10 MS/s.At the sample rate of 20 MS/s and the Nyquist input frequency,the 47.39-dB SFDR and 4.6-ENOB are achieved.The differential nonlinearity（DNL） is less than 0.83 LSB and the integral nonlinearity（INL） is less than 0.82 LSB.The experimental results indicate that this SAR ADC consumes a total of 522μW power and occupies 0.98 mm^2.展开更多
文摘The Cauchy problem for some parabolic fractional partial differential equation of higher orders and with time delays is considered. The existence and unique solution of this problem is studied. Some smoothness properties with respect to the parameters of these delay fractional differential equations are considered.
基金supported by the PhD Programs Foundation of the Ministry of Education of China(No.20111011315)the National Science and Technology Important Project of China(No.2010ZX03006-003-01)
文摘This paper presents a 6-bit 20-MS/s high spurious-free dynamic range（SFDR） and low power successive approximation register analog to digital converter（SAR ADC） for the radio-frequency（RF） transceiver frontend, especially for wireless sensor network（WSN） applications.This ADC adopts the modified common-centroid symmetry layout and the successive approximation register reset circuit to improve the linearity and dynamic range. Prototyped in a 0.18-μm 1P6M CMOS technology,the ADC performs a peak SFDR of 55.32 dB and effective number of bits（ENOB） of 5.1 bit for 10 MS/s.At the sample rate of 20 MS/s and the Nyquist input frequency,the 47.39-dB SFDR and 4.6-ENOB are achieved.The differential nonlinearity（DNL） is less than 0.83 LSB and the integral nonlinearity（INL） is less than 0.82 LSB.The experimental results indicate that this SAR ADC consumes a total of 522μW power and occupies 0.98 mm^2.
