Final answer:
To estimate the length of the digital filter with given parameters, use the formula Length = (1/Δt) * (transition_band_width)
Step-by-step explanation:
To estimate the length of the digital filter, we need to consider the sampling interval and the transition band.
The sampling interval is given as Δt = 0.0001, which represents the time between consecutive samples. The transition band is from 3000Hz to 3300Hz, meaning that all frequencies within this range must be attenuated.
The length of the digital filter can be estimated using the formula:
Length = (1/Δt) * (transition_band_width)
In this case, the transition band width is 3300Hz - 3000Hz = 300Hz. Plugging in the values, we have:
Length = (1/0.0001) * 300 = 3,000,000
Therefore, the estimated length of the digital filter is 3,000,000.