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Bingham proposed a complex fast independent component analysis (c-FastICA) algorithm to approximate the nengentropy of circular sources using nonlinear functions. Novey proposed extending the work of Bingham using information from a pseudo-covariance matrix for noncircular sources, particularly for sub-Gaussian noncircular signals such as binary phase-shift keying signals. Based on this work, in the present paper we propose a new reference-based contrast function by introducing reference signals into the negentropy, upon which an efficient optimization FastICA algorithm is derived for noncircular sources. This new approach is similar to Novey's nc-FastICA algorithm, but differs in that it is much more efficient in terms of the computational speed, which is significantly notable with a large number of samples. In this study, the local stability of our reference-based negentropy is analyzed and the derivation of our new algorithm is described in detail. Simulations conducted to demonstrate the performance and effectiveness of our method are also described. [ABSTRACT FROM AUTHOR]

A novel single-stage variable-gain amplifier (VGA) based on transconductance $$g_{m}$$ -ratio amplifier is analyzed and designed with wider linear-in-dB gain range and improved linearity. The variable-gain amplifier proposed here consists of an exponential control block, a current squarer and an amplifier block with both input and load degeneration. With the help of current squarer which gets square function of the output current from exponential control block, the VGA achieves the maximum linear gain range in single stage. Current squarer is proposed, which is designed with compensation technique to minimize the second-order effect caused by carrier mobility reduction in short channel MOSFET. To avoid the poor linearity performance of the $$g_{{m}}$$ -ratio amplifiers, the distortion is analyzed and the linearity is improved by applying input and load degenerating technique. At the same power consumption, the input 1 dB compression point can be improved by nearly 8.78 dB. Simulation results show that the VGA can provide a gain variation range of 64.09 dB (from $$-35.59$$ to 28.5 dB) with a 3-dB bandwidth from 47 to 640 MHz. The circuit consumes the maximum power 3.5 mW from a 1.8-V supply. [ABSTRACT FROM AUTHOR]