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System Simulator >
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Channels >
   Additive White Gaussian Noise, Real (AWGN)       

Additive White Gaussian Noise, Real (AWGN)

 

 


Property

Description

Units

Default

Range/Type

SNR

The average input power to average noise power ratio in dB

dB

10

[-200, 200]/Real

NSAMP

The number of samples used for signal power measurement

None

100

[1, Inf)/Integer

SEED

Random seed

None

0

[0, Inf)/Integer

RIN

Input impedance

Ohm

Inf

(0, Inf]/Real

ROUT

Output impedance

Ohm

0

[0, Inf)/Real

Ports

Input

Input signal (real)

Output

Output signal (real)


 

Notes

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

2. Let the discrete input signal a t =lTs (l = 0, 1, 2, ...) be x(l) , where Ts is the sampling interval. And let the zero mean White Gaussian noise be n(l). Then the output signal can be expressed as

(1)

3. The average power of the input signal is defined by


(2)
where N is the number of samples to calculate average power, i.e., the parameter NSAMP of this model. Thus, the average noise power can be given by



(3)
Therefore, a zero mean noise with variance Pnoise will be randomly generated and added to the input signal.

Netlist Form

AWGN:NAME n1 n2 SNR=val [NSAMP=val] [SEED=val] [RIN=val] [ROUT=val]

Example

AWGN:1 1 2 SNR=10




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