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Additive White Gaussian Noise with Average Input Power, Complex (CAWGNIP)

Additive White Gaussian Noise with Average Input Power, Complex (CAWGNIP)

Property	Description	Units	Default	Range/Type
SNR	The average input power to average noise power ratio in dB	None	10	[-200, 200]/Real
SEED	Random seed	None	0	[0, Inf)/Integer
RIN1	Input1 impedance	Ohm	Inf	(0, Inf]/Real
RIN2	Input2 impedance	Ohm	Inf	(0, Inf]/Real
ROUT	Output impedance	Ohm	0	[0, Inf)/Real
Ports
Input1	Input signal in complex envelope format (complex)
Input2	Average input power (real)
Output	Output signal in complex envelope format (complex)

Notes

1. This model can be used to perform a sample-by-sample addition of a complex input signal and a complex zero mean White Gaussian noise.

2. Let the discrete input signal at

be

(1)
where T_s is the sampling interval. And let the complex zero mean White Gaussian noise be

(2)
then the output signal can be expressed as

(3)

3. The average power of the input signal can be obtained at the second input. Define T_s to be the sample interval at this input. Assume the current sample at the first input is x(l), we use the kth sample at the second input port as the input power P_inif kT_s £ lT_s£ (k+1)T_s. Thus, the average power of the noise can be given by

(4)
Therefore, a complex noise with zero mean and variance P_noisewill be randomly generated and added to the input signal.

Netlist Form

CAWGNIP:NAME n1 n2 n3 SNR=val [SEED=val] [RIN1=val] [RIN2=val] [ROUT=val]

Netlist Example

CAWGNIP:1 1 2 3 SNR=10

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