Main problem definition: An instrumentation radar collects complex frequency domain data from 12 to 18 GHz every 10 MHz. There are two signals of equal amplitude sampled by the radar. One signal is located at +25 ns and the other signal is located at zero ns. Each signal can be expressed as 𝑠 = 𝑘𝑒−𝑗2𝜋𝑓𝑡. Problem 1: [10 points] Create a total signal vector in the frequency domain and plot the signal as 20*log10(abs(…and on a separate plot show the unwrapped phase. Make sure that ALL axes have proper values, limits and labels. Problem 2: [10 points] Compute the time domain of the signal and plot your result as 20*log10(abs(… Make sure that ALL axes have proper values, limits and labels. Problem 3: [10 points] Create an FIR filter which can keep only the zero-ns signal. Make sure that the first filter sidelobe is at least 40 dB down. Plot the filter magnitude and phase. Plot your result as 20*log10(abs(… and on a separate plot show the unwrapped phase. Make sure that ALL axes have proper values, limits and labels. Problem 4: [20 points] Apply your FIR filter and plot the results in the time domain as 20*log10(abs(… and on a separate plot show the phase. Make sure that ALL axes have proper values, limits and labels. Problem 5: [10 points] Create an IIR filter which can keep only the zero-ns signal. Make sure that the first filter sidelobe is at least 40 dB down. Plot the filter magnitude and phase. Plot your result as 20*log10(abs(… and on a separate plot show the unwrapped phase. Make sure that ALL axes have proper values, limits and labels. Problem 6: [20 points] Apply your IIR filter and plot the results in the time domain as 20*log10(abs(… and on a separate plot show the phase. Make sure that ALL axes have proper values, limits and labels. Problem 7: [10 points] On a separate figure plot the results of applying your FIR and IIR filters on the same axes in the time domain. Use black for the FIR and red for the IIR. Plot the magnitude as 20*log10(abs(… and on a separate figure show the phase. Make sure that ALL axes have proper values, limits and labels. Problem 8: [10 points] Based on the original statement of the problem, determine the resolution of the radar system. Then create a new signal with two signals separated by the resolution and plot the signal in the time domain. Show the magnitude as 20*log10(abs(… and on a separate figure show the phase. Make sure that ALL axes have proper values, limits and labels. Concert Evaluation Assignment In a well-written essay of approximately 700 words (typed), create a review of a live professional concert relevant to this course. Discuss the strengths and weaknesses of the concert and focus mainly on the most important/striking elements and qualities of the performance. Use that information to arrive at an overall evaluation of the event. Hints to keep you writing: Describe: This is the very basic and factual content o