Question

Write a function to calculate the normalized sinc

This example demonstrates writing test cases for function-based problems. Assessment tests are designed to capture the problem requirements as well as common student errors.

The rectangular function (or square-pulse) is commonly used in signal processing applications. The Fourier transform of the rectangular function is the normalized sinc function given by:

Write a function normsinc that returns . Your function must:

1. Calculate for each element of the input. If the input is a 1-by-4 vector, the output is also a 1-by-4.
2. Return the value 1 when the input is 0, which is the limiting value of as .

Two sample inputs are provided for you to test your code.

function y = normsinc(x)

% Implement the normalized sinc function

%code goes here

end

% Test your function before submitting

y1 = normsinc(1)

y2 = normsinc([-1 0 1/2 3/2])

Answer 1

`Hey,

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y1 = normsinc(1)

y2 = normsinc([-1 0 1/2 3/2])

function y=normsinc(X)

y=[];

for x=X

if(x==0)

y=[y 1];

else

y=[y sin(pi*x)/(pi*x)];

end

end

end