If desired signal variance is increased, the output of Wiener filter
Remains same
Increases
Decreases
Becomes zero
To determine the effect of increasing the desired signal variance on the output of a Wiener filter, we need to understand how the filter works.
The Wiener filter is a linear filter used for minimizing the mean square error between the desired output signal and the filter's output. It tries to estimate the desired signal from a noisy signal by using statistical properties of both the desired signal and the noise.
Typically, the variance of the desired signal is a parameter that affects the Wiener filter's performance. When the desired signal variance is increased, it means that the power or strength of the desired signal is also increased.
Based on this knowledge, we can determine the effect of increasing the desired signal variance:
1. The output of a Wiener filter will generally increase if the desired signal variance is increased. This is because a higher desired signal variance implies a stronger desired signal, which can help the filter better estimate and enhance the desired signal in the presence of noise.
2. However, it is important to note that while increasing the desired signal variance may generally lead to an increase in the filter output, there can still be other factors at play, such as the noise variance, the filter coefficients, and the statistical properties of the signal and noise. These factors can modify the specific behavior of the Wiener filter in any given scenario.
Therefore, the correct answer is that increasing the desired signal variance generally increases the output of a Wiener filter.