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![Pgal Eng - 09, 2, 38 for 6-point DFT we have to add zenes or zero pedding se[n] = { 0, 1, 2,3,0,0 $ badding zero. N = 6 Crive](http://img.homeworklib.com/questions/ce77cc80-a839-11ea-ba02-fd25c935100e.png?x-oss-process=image/resize,w_560)
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![from the defination :- Wit = x 2 5k Wike TK ze-TJK -IJK SCK] = ĕ kx [k] Sło- & 150 x [o] 2 1.6 = 6 SEI- x 3 x C) = = (1+0) 4](http://img.homeworklib.com/questions/d18e6ef0-a839-11ea-9438-0319cef8669d.png?x-oss-process=image/resize,w_560)
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Consider a sequence xln] 2-"uln], with its DTFT given by xlet y[n] be a finite-duration signal of...
Consider a sequence xln] 2-"uln], with its DTFT given by xlet y[n] be a finite-duration signal of length 10. Suppose the 10-point DFT, Y[k], of y[n] is given by 10 equally-spaced samples of X(e). Determine y[n]. Hint: N-point DFT of a sequence w[n] = 2-n (u[n]-u[n-N]) is W [k] = 1-22 1wk
Consider a sequence xln] 2-"uln], with its DTFT given by xlet y[n] be a finite-duration signal of length 10. Suppose the 10-point DFT, Y[k], of y[n] is given...
9. Consider a 20-point finite-duration sequence x[n] such that xfn]-0 outside 0 snSI (a) Ifit is...
9. Consider a 20-point finite-duration sequence x[n] such that xfn]-0 outside 0 snSI (a) Ifit is desired to evaluate X(e/o) at o 4x/S by computing one M-point DFT point DFT dete the smallest possible M, and develop a method to obtain X(eo) at 4x smallest M.
I Need Help with 4,6,8,10,15,18 Problems 123 If f(n) is a periodic sequence with period N,...
I
Need Help with 4,6,8,10,15,18
Problems 123 If f(n) is a periodic sequence with period N, it is also periodic with period 2N. Tet 8(k) denote the DFS coefficients of X(n) considered as a periodic sequence with period N and X,(k) denote the DFS coefficients of x(n) considered as a periodic sequence with period 2N. X,(k) is, of course, periodic with period N and X2(k) is periodic with period 2N. Determine 8(k) in terms of X (k). 5. Consider two...
12. Let X(e") be the DTFT of the discrete-time signal z[n] = (0.5)"u[n]. Let gin] be the length-5...
12. Let X(e") be the DTFT of the discrete-time signal z[n] = (0.5)"u[n]. Let gin] be the length-5 sequence whose 5-point DFT, Gk], is made from uniform samples from X(eu): g[n] CH 0 for n<0and n > 4 = x(e,2 ) for k = 0, 1, 2,3,4 = Find g(0] and gl1].
12. Let X(e") be the DTFT of the discrete-time signal z[n] = (0.5)"u[n]. Let gin] be the length-5 sequence whose 5-point DFT, Gk], is made from uniform samples...
2. Consider the bound states (E < 0) of a particle of mass u on the...
2. Consider the bound states (E < 0) of a particle of mass u on the one- dimensional half line, 0< x < oo, with the linear potential, b a + V () where a and b are positive constants (a) What is the asymptotic behavior of the wavefunction as x is useful to define a dimensionless variable. (Ans: ~e /24E/2).) oo. It where u= (b) What is the asymptotic behavior of the wavefunction as a - 0. (Ans: b~...
e 1 Suppose (Ap) (1 - Ap)n-m P{X = m, Y = n} = m =...
e 1 Suppose (Ap) (1 - Ap)n-m P{X = m, Y = n} = m = 0,1,2,...,n n=0,1,2,... m!(n - m)! (1) (5 pts) Compute P{Y = n}. Point out y follows which distribution. (2) (5 pts) Compute P{X = m}. Point out X follows which distribution. (3) (4 pts) Compute P{X = m | Y = n}. Point out X|Y = n follows which distribution. (4) (6 pts) Compute P{Y - X = k}. Point out Y X follows...
Consider the diffusion problem au Ou u(0, t) = 0, u(L, t) = 50 u(x,0-fx where FER is a constant, ...
Mark which statements below are true, using the following:
Consider the diffusion problem au Ou u(0, t) = 0, u(L, t) = 50 u(x,0-fx where FER is a constant, forcing term. Any attempt to solve this using separation of variables fails. This is because the PDE is not homogeneous. A more fruitful approach arises from splitting the solution into the sum of two parts, taking into account that all change eventually dies out. That is there is a transient part...
2. A binary string is a finite sequence u-діаг . . . an, where each ai is either 0 or 1. In this case n is the length o...
2. A binary string is a finite sequence u-діаг . . . an, where each ai is either 0 or 1. In this case n is the length of the string v. The strings ai, aia2,... ,ai... an-1,ai... an are all prefixes of v. On the set X of all binary strings consider the relations Ri and R2 defined as follows: Ri-(w, v) w and v have the same length ) R2 = {(u, v) I w is a prefix...
1. Consider the Partial Differential Equation ot u(0,t) = u(r, t) = 0 a(x, 0)-x (Y), sin (! We know the general solution to the Basic Heat Equation is u(z,t)-Σ b e ). n= 1 (b) Find the unique solutio...
1. Consider the Partial Differential Equation ot u(0,t) = u(r, t) = 0 a(x, 0)-x (Y), sin (! We know the general solution to the Basic Heat Equation is u(z,t)-Σ b e ). n= 1 (b) Find the unique solution that satisfies the given initial condition ur, 0) -2. (Hint: bn is given by the Fourier Coefficients-f(z),sin(Y- UsefulFormulas/Facts for PDEs/Fourier Series 1)2 (TiT) » x sin aL(1)1 a24(부) (TiT) 1)+1 0
1. Consider the Partial Differential Equation ot u(0,t) =...
Question 1 Suppose x, = 1,2,3 has independent N(u,, 1) distributions such that 2, = ,...
Question 1 Suppose x, = 1,2,3 has independent N(u,, 1) distributions such that 2, = , = 3u. Let 1 (2g + З23)?; q2 — k(3ӕ, — 2з)?; q 10 91= -G1) Suppose N (u, V); — (х1 х, х3); и 3 (M g and V x (central chi-squared distribution) 2p1 = plz = 3u3 and qa4 ~ (i) Determine whether q, has a chi-squared distribution (ii) Determine the degrees of freedom k and the noncentrality parameter A of q3...
Consider a sequence xln] 2-"uln], with its DTFT given by xlet y[n] be a finite-duration signal of length 10. Suppose the 10-point DFT, Y[k], of y[n] is given by 10 equally-spaced samples of X(e). Determine y[n]. Hint: N-point DFT of a sequence w[n] = 2-n (u[n]-u[n-N]) is W [k] = 1-22 1wk
Consider a sequence xln] 2-"uln], with its DTFT given by xlet y[n] be a finite-duration signal of length 10. Suppose the 10-point DFT, Y[k], of y[n] is given...
9. Consider a 20-point finite-duration sequence x[n] such that xfn]-0 outside 0 snSI (a) Ifit is desired to evaluate X(e/o) at o 4x/S by computing one M-point DFT point DFT dete the smallest possible M, and develop a method to obtain X(eo) at 4x smallest M.
I
Need Help with 4,6,8,10,15,18
Problems 123 If f(n) is a periodic sequence with period N, it is also periodic with period 2N. Tet 8(k) denote the DFS coefficients of X(n) considered as a periodic sequence with period N and X,(k) denote the DFS coefficients of x(n) considered as a periodic sequence with period 2N. X,(k) is, of course, periodic with period N and X2(k) is periodic with period 2N. Determine 8(k) in terms of X (k). 5. Consider two...
12. Let X(e") be the DTFT of the discrete-time signal z[n] = (0.5)"u[n]. Let gin] be the length-5 sequence whose 5-point DFT, Gk], is made from uniform samples from X(eu): g[n] CH 0 for n<0and n > 4 = x(e,2 ) for k = 0, 1, 2,3,4 = Find g(0] and gl1].
12. Let X(e") be the DTFT of the discrete-time signal z[n] = (0.5)"u[n]. Let gin] be the length-5 sequence whose 5-point DFT, Gk], is made from uniform samples...
2. Consider the bound states (E < 0) of a particle of mass u on the one- dimensional half line, 0< x < oo, with the linear potential, b a + V () where a and b are positive constants (a) What is the asymptotic behavior of the wavefunction as x is useful to define a dimensionless variable. (Ans: ~e /24E/2).) oo. It where u= (b) What is the asymptotic behavior of the wavefunction as a - 0. (Ans: b~...
e 1 Suppose (Ap) (1 - Ap)n-m P{X = m, Y = n} = m = 0,1,2,...,n n=0,1,2,... m!(n - m)! (1) (5 pts) Compute P{Y = n}. Point out y follows which distribution. (2) (5 pts) Compute P{X = m}. Point out X follows which distribution. (3) (4 pts) Compute P{X = m | Y = n}. Point out X|Y = n follows which distribution. (4) (6 pts) Compute P{Y - X = k}. Point out Y X follows...
Mark which statements below are true, using the following:
Consider the diffusion problem au Ou u(0, t) = 0, u(L, t) = 50 u(x,0-fx where FER is a constant, forcing term. Any attempt to solve this using separation of variables fails. This is because the PDE is not homogeneous. A more fruitful approach arises from splitting the solution into the sum of two parts, taking into account that all change eventually dies out. That is there is a transient part...
2. A binary string is a finite sequence u-діаг . . . an, where each ai is either 0 or 1. In this case n is the length of the string v. The strings ai, aia2,... ,ai... an-1,ai... an are all prefixes of v. On the set X of all binary strings consider the relations Ri and R2 defined as follows: Ri-(w, v) w and v have the same length ) R2 = {(u, v) I w is a prefix...
1. Consider the Partial Differential Equation ot u(0,t) = u(r, t) = 0 a(x, 0)-x (Y), sin (! We know the general solution to the Basic Heat Equation is u(z,t)-Σ b e ). n= 1 (b) Find the unique solution that satisfies the given initial condition ur, 0) -2. (Hint: bn is given by the Fourier Coefficients-f(z),sin(Y- UsefulFormulas/Facts for PDEs/Fourier Series 1)2 (TiT) » x sin aL(1)1 a24(부) (TiT) 1)+1 0
1. Consider the Partial Differential Equation ot u(0,t) =...
Question 1 Suppose x, = 1,2,3 has independent N(u,, 1) distributions such that 2, = , = 3u. Let 1 (2g + З23)?; q2 — k(3ӕ, — 2з)?; q 10 91= -G1) Suppose N (u, V); — (х1 х, х3); и 3 (M g and V x (central chi-squared distribution) 2p1 = plz = 3u3 and qa4 ~ (i) Determine whether q, has a chi-squared distribution (ii) Determine the degrees of freedom k and the noncentrality parameter A of q3...
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