How can I get more information about the taper means in array?

N = 6;

designed_pos = [zeros(1,N);(0:N-1)*0.5;zeros(1,N)];

designed_taper = ones(N,1);

rng(2014);

taper = (designed_taper + 0.1*randn(N,1)).*exp(1i*0.05*randn(N,1));

helperCompareArrayProperties('Taper',taper,designed_taper,...

{'Perturbed Array','Designed Array'});

Answer 1

[Deepak]

Hi @XIAO WEI-ZHI, from my understanding, you have generated the “taper” array and want to gain more insights into it.

To get more insights, we can perform the following analysis:

• We can calculate the mean and standard deviation of the array to understand the distribution of the data.

mean_real = mean(real(taper));
std_real = std(real(taper));

mean_imag = mean(imag(taper));
std_imag = std(imag(taper));

• We can plot the real part of the “taper” array with the imaginary part to get visual understanding of the data.

plot(real(taper), imag(taper), 'o');
xlabel('Real Part');
ylabel('Imaginary Part');
title('Real vs Imaginary Parts of Taper');

• We can create histograms of the magnitudes and phases of the “taper” array.

histogram(abs(taper));
xlabel('Magnitude');
ylabel('Frequency');
title('Histogram of Taper Magnitudes');

histogram(angle(taper));
xlabel('Phase (radians)');
ylabel('Frequency');
title('Histogram of Taper Phases');

• We can also plot the “taper” array against the “designed_taper” to compare their magnitudes or phases.

plot(1:N, abs(taper), 'b-o', 1:N, designed_taper, 'r--');
xlabel('Element Index');
ylabel('Magnitude');
legend('Perturbed Taper', 'Designed Taper');
title('Comparison of Taper Magnitudes');

Attaching the documentation of functions used for reference:

https://www.mathworks.com/help/matlab/ref/plot.html

https://www.mathworks.com/help/matlab/ref/matlab.graphics.chart.primitive.histogram.html

I hope this helps.