Question

A digital chirp signal is synthesized according to the following formula: x [n] = R {eʲθⁿ}cos(π(0.7×10⁻³)n²) for n = 0, 1, 2, ..., 200.

Make a plot of the rotating phasor eʲθⁿ for n = 10, 50, and 100.

Answer 1

To plot the rotating phasor eʲθⁿ for n = 10, 50, and 100, calculate the values of eʲθⁿ for each value of n and plot them on a complex plane.

Step-by-step explanation:

The question asks for a plot of the rotating phasor ejθn at specific values of n within a digital chirp signal given by the formula x [n] = R {ejθn}cos(π(0.7×10−3)n²). To plot the rotating phasor eʲθⁿ for n = 10, 50, and 100, we will calculate the values of eʲθⁿ for each value of n and plot them on a complex plane.

For n = 10, eʲθⁿ = eʲ(θ*10) = cos(θ*10) + isin(θ*10)

For n = 50, eʲθⁿ = eʲ(θ*50) = cos(θ*50) + isin(θ*50)

For n = 100, eʲθⁿ = eʲ(θ*100) = cos(θ*100) + isin(θ*100)