A method for synthesizing a matched filter for conditions of simultaneous action of white noise and non-Gaussian noise is proposed. The method is based on the representation of the matched filter as a linear system that implements an integral transformation with a real kernel. Noise, non-Gaussian noise and signal are considered to be frequency limited. The signal-to-noise ratio at the reference point in time is determined. The expansion of the correlation function of the interference and the signal into a series of count functions and the resulting signal-to-noise ratio give an equation that allows one to determine the signals that maximize the signal-to-noise ratio.

The paper presents design flow and simulation results of the W-band fundamental voltage-controlled oscillator in 0.13 μm SiGe BiCMOS technology for an automotive radar application. Oscillator provides fundamental oscillation range of 76.8 GHz to 81.2 GHz. According to simulation results phase noise is –89.3 dBc/Hz at 1 MHz offset, output power is –5.6 dBm and power consumption is 39 mW from 3.3 V source.

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