Abstract: A method of generating normally distributed random variables for communication channel simulation comprising generating, by a processor, a stream of uniformly distributed random variables using a cryptographic algorithm, applying a mathematical transform to the uniformly distributed random variables using the processor to create a signal comprised of normally distributed random variables, adjusting a mean and variance of the signal using the processor, and outputting, by the processor, an output noise signal.

Abstract: A system for generating a frequency reference signal comprising an oscillator, a direct digital synthesizer coupled to the oscillator and configured to receive a signal output from the oscillator, a digital to analog converter coupled to the direct digital synthesizer and configured to receive a sampled signal from the direct digital synthesizer and to convert the sampled signal to an analog waveform, and a bandpass filter coupled to the digital to analog converter and configured to select an aliased output signal from the digital to analog converter at a Nyquist zone other than a first Nyquist zone and to output the frequency reference signal.

Abstract: A method of transmitting telecommunications data comprising modulating first and second data signals, selecting transmit powers first and second terminals to achieve a predetermined power equivalent bandwidth (PEB) through an un-attenuated, transmitting the first data signal to the second terminal and the second data signal to the first terminal through a remote receiver, measuring a total received signal-to-noise ratio of the first and second data signals and a total received signal-to-noise ratio received at the second and first terminals, respectively, measuring a signal-power density ratio between the first and second signals, determining a ratio of excess uplink to downlink losses based a rain model parameter and operating frequency, calculating excess uplink and downlink losses relative an optimized, un-attenuated telecommunications channel, and changing a transmit power of a terminal such that the predetermined PEB is maintained when at least one of the signals experiences attenuation.