Let x[n] and y[n] be periodic signals with common period N, and let z[n] = {...

Question

Question

Let x[n] and y[n] be periodic signals with common period N, and let z[n] = { x[r]y[n – r) r=<N> be their period convolution.

Let z[n] = sin(7) and y[n] = { . 0 <n<3 4 <n <7 Asns? be two signals that are periodic with period 8. Find the Fourier serie

engineering Electrical-Engineering

Answer 1

Answer #1

Solution Given that 2[9] 2 dm (30g) hes N be the percod. then x{n, kN]: x[n] 9 from 2 (1960) ) = gol 3mg) » Bal kwa ama » Na

Now xH); dan (890 celor ce einer ei (ang.god) & xin .) *(n): 23 janlassung in e Ant fundamentat peurd, was so fundamental fre

he X be Freurines suus Caffen of min]. Then X[n]. 0 ina 3 xm: x 4 Mew and en ul. 2 3h Л 19. so company 0 4 Xe: 7 ) K:3 z kos

N SO you p.) 29/p nk - 20 sonce in convolution of an] & [n]. 60 t is mullisturali of Me & Yk. Son Xi is non how only for $234

cu Y; Y = { 1 + (52-1); } { y complen conjugerte of Ys} 30 Z30 X * Y . (1-3 (2-1)) 2 (72) + -VI) - Uk 25: (143513): -LEA) so

Answer 2

Similar Homework Help Questions

1. Let x[n] be a periodic sequence with period N with Fourier series representation x[n] =...

1. Let x[n] be a periodic sequence with period N with Fourier series representation x[n] = akek(34)n k=<N> Assume that N is even. Derive the expressions for the following signals (a) x[n] – x[n – (b) x[n] + x[n + 1 (Note that this signal is periodic with period ) (c) (-1)" x[n]
Let f (x) be a periodic function on R with period 21. On the interval (-11,),...

Let f (x) be a periodic function on R with period 21. On the interval (-11,), f(x) is given by f(x)=sin(x) 0<x51, = Let F(x) be the Fourier series of f(x). Select all correct statements from below. The Fourier series of -f (x) is -F(x). F(-1) = 0.
(7 pts.) Let f(x, y, z) = "y and let R be the region {(x, y,...

(7 pts.) Let f(x, y, z) = "y and let R be the region {(x, y, z) |2 < x < 4,0 Sy < 3,15 zse}. 2 Evaluate | $180,0,.2) av. R

5. Partitions For each n e Z, let T={(x, y) + R n<I- g < n+1}....

5. Partitions For each n e Z, let T={(x, y) + R n<I- g < n+1}. Is T = {T, n € Z} a partition of R?? Justify your answer using the definition.
Let X N(1,3) and Y~ N(2,4), where X and Y are independent 1. P(X <4)-? P(Y...

Let X N(1,3) and Y~ N(2,4), where X and Y are independent 1. P(X <4)-? P(Y < 1) =? 4、 5, P(Y < 6) =? 7, P(X + Y < 4) =?
4. Let f(x, y, z) = rytan'() + z sin(xy), < = wy=v²v, z = "....

4. Let f(x, y, z) = rytan'() + z sin(xy), < = wy=v²v, z = ". Find fu and , using the chain rule.

2.6 Let x(t) and y(t) be two periodic signals with period To, and let X, and...

2.6 Let x(t) and y(t) be two periodic signals with period To, and let X, and yn denote the Fourier series coefficients of these two signals. Show that 7. Le***0*n di = § 00 2.7 Show that for all periodic physical signals that have finite power, the coefficients of the Fourier series expansion x,, tend to zero as n → .
A periodic function f(x) with period 21 is defined by: X + -1<x< 0 2 f(x)...

A periodic function f(x) with period 21 is defined by: X + -1<x< 0 2 f(x) = 0<x< 2 Determine the Fourier expansion of the periodic function f(x). X - TT
2. Given x[n]— 1-ae-ja' find the DTFT of: (a) y[n] = nx[n],(b) z[n] = (n −...

2. Given x[n]— 1-ae-ja' find the DTFT of: (a) y[n] = nx[n],(b) z[n] = (n − 1)x[n] dX(92) Hint: nx[n]< > ; dΩ

M<a a) Find the Fourier transform of b) Graph (x) and its Fourier transform fora c)...

M<a a) Find the Fourier transform of b) Graph (x) and its Fourier transform fora c) Hence evaluate f(x) =| 3 d) Deduce r sin u