Question

For a sequence x(n) = cos nπ/4, X(1) = -------------------

Answer 1

Answer:

The 4-point DFT of the sequence x(n)=cos(nπ/4) is X(k).

your answer is 4

Answer 2

SOLUTION

GIVEN

For a sequence

$\displaystyle \sf{x(n) = cos \frac{n\pi}{4} }$

TO DETERMINE

The value of x(1)

EVALUATION

Here the given sequence is

$\displaystyle \sf{x(n) = cos \frac{n\pi}{4} }$

Putting n = 1 we get

$\displaystyle \sf{x(1) = cos \frac{1.\pi}{4} }$

$\displaystyle \sf{ \implies x(1) = cos \frac{1.\pi}{4} }$

$\displaystyle \sf{ \implies x(1) = cos \frac{\pi}{4} }$

$\displaystyle \sf{ \implies x(1) = \frac{1}{ \sqrt{2} } }$

FINAL ANSWER

$\displaystyle \sf{ x(1) = \frac{1}{ \sqrt{2} } }$

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

$1.$ if given f(x) = 6(1 - x), what is the value of f(-8)?

https://brainly.in/question/22543444

2. let f and g be thwe function from the set of integers to itself defined by f(X) =2x +1 and g (X)=3x+4 then the compositi...

https://brainly.in/question/22185565