This paper presents an adaptive digital resolution improvement method for extrapolating and recursive analog-to-digital converters (ADCs). The presented adaptively enhanced ADC (AE-ADC) digitally estimates the digital equivalent of the input signal by utilizing an adapt More
This paper presents an adaptive digital resolution improvement method for extrapolating and recursive analog-to-digital converters (ADCs). The presented adaptively enhanced ADC (AE-ADC) digitally estimates the digital equivalent of the input signal by utilizing an adaptive digital filter (ADF). The least mean squares (LMS) algorithm also determines the coefficients of the ADF block. In this scheme, the input bandwidth is limited to the Nyquist-rate. This scheme has the ability of enhancing its resolution by one bit through doubling the gain of a low-quality amplifier circuit. Behavioral simulation results are also provided for a 10-bit AE-ADC to verify the usefulness of the approach. Simulation results indicate that the spurious-free dynamic range (SFDR) and signal-to-noise-and-distortion-ratio (SNDR) are 68.8 dB and 55.5 dB, respectively.
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In this paper, a nonlinear stiff differential equation is solved by using the Rosenbrock iterative method, modified homotpy analysis method and power series method. The approximate solution of this equation is calculated in the form of series which its components are co More
In this paper, a nonlinear stiff differential equation is solved by using the Rosenbrock iterative method, modified homotpy analysis method and power series method. The approximate solution of this equation is calculated in the form of series which its components are computed by applying a recursive relations. Some numerical examples are studied to demonstrate the accuracy of the presented methods.
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