ECE Signal Processing Matlab code

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ECE Signal Processing Matlab code

 

 

 

 

 

Il(ej2rjd) h(kl 

 

Part 1: 

 

Write a function F IR _ f i ng1e that computes the frequency response H fd for a given impulse 

 

response htn) and a given frequency jd. Start your function implementation as follows 

 

function H — (h, Ed) 

 

— compute frequency response from impulse 

 

response at single frequency 

 

Input Variables: 

 

h — Vector, samples Of the impulse response Of the 

 

fd — scalar, normalized frequency to compute frequency 

 

response at (C Ed 0.5) 

 

Output Variable: 

 

H — complex scalar, frequency response at frequency Ed 

 

Verify that your function works correctly using the following test script. total error you observe must 

 

be very, very close to zero. 

 

Test case: 3—pt averager 

 

expected values at four frequencies 

 

f - to, 1, 2, 31/6; 

 

(1, 2/3•exp (—1 j•pi/3), O, 1/31; 

 

expect ed 

 

coefficients for 3—py averager 

 

b ones (1, 3) /3; 

 

compute sum of absolute errors 

 

sum_errors 

 

for n — 1:4 

 

sum_errors +— abs (expected (n) 

 

end 

 

- should be very close to zero 

 

— FIR_freq_resp_sing1e (b, f ) ; 

 

printf ("Total absolute error: %g", sum_errors) 

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