Abstract
This paper presents a delta-sigma pulse-width digitizer ( <formula formulatype="inline" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex Notation="TeX">$\Delta \Sigma$</tex></formula> -PWD) architecture designed for a super-regenerative receiver (SR-RX) operated at the 400-MHz Medical Implantable Communications Service (MICS) band. The <formula formulatype="inline" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex Notation="TeX">$\Delta \Sigma$</tex></formula> -PWD employs the operation principle of a <formula formulatype="inline" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><tex Notation="TeX">$\Delta \Sigma$</tex> </formula> modulator to convert the pulse-width (PW) value into digital domain and achieve fine resolution, which allows the SR-RX to support the 2-ASK/4-ASK modulations. It can be considered as the PW domain counterpart of a conventional <formula formulatype="inline" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><tex Notation="TeX">$\Delta \Sigma$</tex></formula> modulator. The proposed architecture is capable of suppressing the PW quantization error over the direct-sampling-type PW detector by 23 dB. A linear model for the <formula formulatype="inline" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><tex Notation="TeX">$\Delta \Sigma$</tex></formula> -PWD is devised in this paper for system analysis and design optimization. Fabricated in a 0.18- <formula formulatype="inline" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><tex Notation="TeX">$\mu{\hbox {m}}$</tex> </formula> CMOS process, the whole receiver draws 700 <formula formulatype="inline" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex Notation="TeX">$\mu{\hbox {A}}$</tex></formula> from a 1.3-V supply, while the <formula formulatype="inline" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><tex Notation="TeX">$\Delta \Sigma$</tex> </formula> -PWD consumes only 100 <formula formulatype="inline" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><tex Notation="TeX">$\mu{\hbox {A}}$</tex></formula> . When operated on the 4-ASK modulation signal with 312-kbps data rate, the receiver achieves an energy efficiency of 2.9 <formula formulatype="inline" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex Notation="TeX">$~$</tex></formula> nJ/bit and <formula formulatype="inline" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex Notation="TeX">${-}\hbox{76-dBm}$</tex></formula> sensitivity.
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