This paper focuses on the design of two analog nonlinear transformations dedicated to analog signal processing such as energy detection: the square function and the Teager Energy Operator (TEO). Both requiring an analog multiplier, this paper firstly analyses the design equations of a MOS Gilbert cell in order to operate around the mid supply voltage. Considering this, an analog multiplier, having a differential input range of ±400 mV, has been designed using an AMS 0.35 μm technology and a voltage supply (VDD) of 3.3 V. It has a core area of 620 μm² and offers power-gating capability, which enables a power consumption of 2.28 μW when a duty cycle of 0.25% is considered. Next, an analog square function and an analog TEO, have been implemented and manufactured using the designed Gilbert cell. The analog square function has a core area of 0.9 mm² and measurement results show that it is able to compute the square value of its differential input voltage with a mean precision of 2.92% in 5 μs assuming a differential input voltage of ±400 mV with a common voltage of VDD/2. Moreover, it generates 700 mV spikes when 200 mV pulses are applied on its input. Finally, the designed analog TEO has been implemented using its discrete time equation instead of its continuous time equation since it does not require derivatives computing. It has a core area of 2.2 mm², an active power consumption of 6.21 mW and a standby power consumption of 1.43 nW. Measurement results shows that it generates until 250 mV spikes when 200 mV pulses are applied on its input.

本文着重于两个专用于模拟信号处理（例如能量检测）的模拟非线性变换的设计：平方函数和Teager能量算子（TEO）。两者都需要一个模拟乘法器，因此本文首先分析了MOS Gilbert单元的设计方程，以便在中间电源电压附近工作。考虑到这一点，模拟乘法器，具有±400毫伏的差分输入范围，已经使用AMS 0.35微米技术和电压源（VDD）3.3 V.的它具有620微米的核心区域设计²并提供功率门控功能，当占空比为0.25％时，功耗为2.28μW。接下来，已经使用设计的吉尔伯特单元实现并制造了模拟平方函数和模拟TEO。模拟平方函数的核心面积为0.9 mm ²，测量结果表明，假设±400 mV的差分输入电压，在5μs内它能够以2.92％的平均精度计算其差分输入电压的平方值。VDD的公共电压/ 2。此外，当在其输入端施加200 mV脉冲时，它会产生700 mV尖峰。最后，设计的模拟TEO已使用其离散时间方程式而不是其连续时间方程式实现，因为它不需要导数计算。它的核心面积为2.2 mm ²，有效功耗为6.21 mW，待机功耗为1.43 nW。测量结果表明，当在其输入端施加200 mV脉冲时，它会产生直至250 mV的尖峰。